Quarter 1 Assessment Review - Tri-Valley Local School District · 2017. 2. 22. · ©6 S2Z0J1 f1c...
600
©c r2t0A1N1d jKQu6ttac 7SFoyfBt8wia0rseE kLHLHCQ.r 2 bAPltls ervixgfhrt0sZ Ir1eAsoehrIvIe8dd.5 1 UMPardOet zwIiltbhe qI4nyfBicntiottep 1A6lagSeRb1rMab B2g.p Worksheet by Kuta Software LLC Algebra 2 ID: 1 Name___________________________________ Period____ Date________________ ©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b Quarter 1 Assessment Review Simplify. Your answer should contain only positive exponents. 1) 4u -1 v -4 3v 2 ⋅ 4u -2 v 4 A) 3u v 5 B) 1 12u 2 v 6 C) u 3v 10 D) 3v 4u 2 2) 2 x -3 y 4 ⋅ 3 x -1 y 2 3 x -4 A) x 3 y 2 B) 1 3 x 10 y 2 C) 4 3 y 2 D) 2 y 6 3) ab 4 ( a 4 b 2 ) -4 A) b 14 2a 8 B) a 17 b 12 C) 8b 5 a 9 D) 16a 4 b 8 4) ( 2 x 2 y 4 ) 2 x y -1 A) 4 y 9 x 3 B) x 8 y 7 2 C) 8 y 2 x 9 D) 2 y 9 x 2 Solve each inequality and graph its solution. 5) 6a - 4 > 44 A) -5 ≤ a < 5 : -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 B) - 20 3 < a < 8 : -8 -6 -4 -2 0 2 4 6 8 10 C) a > 8 or a < - 20 3 : -8 -4 0 4 8 D) a ≤ -5 or a > 5 : -8 -6 -4 -2 0 2 4 6 8 -1-
Transcript of Quarter 1 Assessment Review - Tri-Valley Local School District · 2017. 2. 22. · ©6 S2Z0J1 f1c...
-
©c r2t0A1N1d jKQu6ttac 7SFoyfBt8wia0rseE kLHLHCQ.r 2 bAPltls ervixgfhrt0sZ Ir1eAsoehrIvIe8dd.5 1 UMPardOet zwIiltbhe qI4nyfBicntiottep 1A6lagSeRb1rMab B2g.p Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
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Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
©A P2U0B1B1S fKVuDtfam 2Sto6f3tWwhaerCeo oLPLVCK.J 0 3AOlxli 6rGiGgchGttsu WrOeJskePrMvoeNd1.1 8 BMtaxdje0 HwPi5tfh0 mI6njfViFnliOtPe1 LAJl9g2e3bjrJae k2P.c Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
©c r2t0A1N1d jKQu6ttac 7SFoyfBt8wia0rseE kLHLHCQ.r 2 bAPltls ervixgfhrt0sZ Ir1eAsoehrIvIe8dd.5 1 UMPardOet zwIiltbhe qI4nyfBicntiottep 1A6lagSeRb1rMab B2g.p Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©K c2a0V141g dK8uAtZam NSTo1f7tkw9ayrsex eL5LQCi.j F iAKlglx nryi0gchetSsq XreeOs6eqrevGeTd4.x b IMaaqdAeP owAiDtkhg EIdnvfZiEn9istRei QA9lhgtenb3rVas 12L.T Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©i 02m091h1g vK1u0tnah hSTojf7t4wga4rWeq fLKL4Cw.e a cAAlilu 2raipgVhht8sS Hr3egsqeErxvpeYda.l d vM0avdleU nwriotph4 pIentfbi7nBiutFeV SAXljgMeObkr8aB 32l.K Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©5 r2q0L191k EKaudt2aF USsoafmtbwTayrueU iL4LlC2.9 4 CAxlLlF drSiYgvhttpsU 8r1eesFeBrgvleedC.4 D CMPa3dJew Cw3iktEhk QI1n3f4i0nVi4t3eV IA3logUeMb2rkat o2p.c Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©i 02m091h1g vK1u0tnah hSTojf7t4wga4rWeq fLKL4Cw.e a cAAlilu 2raipgVhht8sS Hr3egsqeErxvpeYda.l d vM0avdleU nwriotph4 pIentfbi7nBiutFeV SAXljgMeObkr8aB 32l.K Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
©V O2k0e1t1h pKlu5t8a2 3SUomf4tqw5aOrke3 sLpL7Cm.1 m QA6lSlP LrOi6gdhStBsV 3rQe6sPeRrlvFeadI.3 s UMQaPdXeT qwSiXtAh0 eIRnVf3iTnZiFteeP 1AelfgDeSb1rGaC y2r.H Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
©i g280I131l WKQuFt1ak QSToTf7tMwhafrpez 5LYLvCC.a L ZADlSlV crWiygKhOtrsH LrDeJsIeOrCvoeRdC.5 H oMQa9dYeF Aw9i7tEhG aIenHfxiInfiWt4ew UAAlOgeeXbKrUal C2j.F Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©5 r2q0L191k EKaudt2aF USsoafmtbwTayrueU iL4LlC2.9 4 CAxlLlF drSiYgvhttpsU 8r1eesFeBrgvleedC.4 D CMPa3dJew Cw3iktEhk QI1n3f4i0nVi4t3eV IA3logUeMb2rkat o2p.c Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
©A P2U0B1B1S fKVuDtfam 2Sto6f3tWwhaerCeo oLPLVCK.J 0 3AOlxli 6rGiGgchGttsu WrOeJskePrMvoeNd1.1 8 BMtaxdje0 HwPi5tfh0 mI6njfViFnliOtPe1 LAJl9g2e3bjrJae k2P.c Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
©c r2t0A1N1d jKQu6ttac 7SFoyfBt8wia0rseE kLHLHCQ.r 2 bAPltls ervixgfhrt0sZ Ir1eAsoehrIvIe8dd.5 1 UMPardOet zwIiltbhe qI4nyfBicntiottep 1A6lagSeRb1rMab B2g.p Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©i 02m091h1g vK1u0tnah hSTojf7t4wga4rWeq fLKL4Cw.e a cAAlilu 2raipgVhht8sS Hr3egsqeErxvpeYda.l d vM0avdleU nwriotph4 pIentfbi7nBiutFeV SAXljgMeObkr8aB 32l.K Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
©A P2U0B1B1S fKVuDtfam 2Sto6f3tWwhaerCeo oLPLVCK.J 0 3AOlxli 6rGiGgchGttsu WrOeJskePrMvoeNd1.1 8 BMtaxdje0 HwPi5tfh0 mI6njfViFnliOtPe1 LAJl9g2e3bjrJae k2P.c Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
©c r2t0A1N1d jKQu6ttac 7SFoyfBt8wia0rseE kLHLHCQ.r 2 bAPltls ervixgfhrt0sZ Ir1eAsoehrIvIe8dd.5 1 UMPardOet zwIiltbhe qI4nyfBicntiottep 1A6lagSeRb1rMab B2g.p Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©K c2a0V141g dK8uAtZam NSTo1f7tkw9ayrsex eL5LQCi.j F iAKlglx nryi0gchetSsq XreeOs6eqrevGeTd4.x b IMaaqdAeP owAiDtkhg EIdnvfZiEn9istRei QA9lhgtenb3rVas 12L.T Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©i 02m091h1g vK1u0tnah hSTojf7t4wga4rWeq fLKL4Cw.e a cAAlilu 2raipgVhht8sS Hr3egsqeErxvpeYda.l d vM0avdleU nwriotph4 pIentfbi7nBiutFeV SAXljgMeObkr8aB 32l.K Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©5 r2q0L191k EKaudt2aF USsoafmtbwTayrueU iL4LlC2.9 4 CAxlLlF drSiYgvhttpsU 8r1eesFeBrgvleedC.4 D CMPa3dJew Cw3iktEhk QI1n3f4i0nVi4t3eV IA3logUeMb2rkat o2p.c Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©i 02m091h1g vK1u0tnah hSTojf7t4wga4rWeq fLKL4Cw.e a cAAlilu 2raipgVhht8sS Hr3egsqeErxvpeYda.l d vM0avdleU nwriotph4 pIentfbi7nBiutFeV SAXljgMeObkr8aB 32l.K Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8 B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180 B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
©V O2k0e1t1h pKlu5t8a2 3SUomf4tqw5aOrke3 sLpL7Cm.1 m QA6lSlP LrOi6gdhStBsV 3rQe6sPeRrlvFeadI.3 s UMQaPdXeT qwSiXtAh0 eIRnVf3iTnZiFteeP 1AelfgDeSb1rGaC y2r.H Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2D)
y
=
−
x
−
1
2
-4-
-
©i g280I131l WKQuFt1ak QSToTf7tMwhafrpez 5LYLvCC.a L ZADlSlV crWiygKhOtrsH LrDeJsIeOrCvoeRdC.5 H oMQa9dYeF Aw9i7tEhG aIenHfxiInfiWt4ew UAAlOgeeXbKrUal C2j.F Worksheet by Kuta Software LLC
Algebra 2ID: 1
Name___________________________________
Period____Date________________©K K2y0S1G1A cKtuNtqac oSoorfRthw2aFr2ef PLxLcCI.K 2 jAclolY 6rGigg4h1tgsn wrweosSeormvXeAd8.e
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10* D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6*
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12*
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3* B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
*C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
©5 r2q0L191k EKaudt2aF USsoafmtbwTayrueU iL4LlC2.9 4 CAxlLlF drSiYgvhttpsU 8r1eesFeBrgvleedC.4 D CMPa3dJew Cw3iktEhk QI1n3f4i0nVi4t3eV IA3logUeMb2rkat o2p.c Worksheet by Kuta Software LLC
6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
*B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
*A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
11
8
A)
k
≤
−3
2 or
k
≥
30
7 :
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8
B)
k
< −1 : −10 −8 −6 −4 −2 0 2 4 6 8 10
*C)
k
>
−3
4 or
k
< −1 : −5 −4 −3 −2 −1 0 1 2 3 4 5
D)
k
≥
30
7 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
-2-
-
©q e2c0w1X1o nKWu9t8aR mS4o0fptKwdafrveb ELgLoCH.0 S jAhl7l9 JrPibgRhEtSsc 9rBepsZeirjvaeZdy.F G 8Mha4deeF xwBigtshc zIOnJfIidn0iwtvew oAqlggJesb2riaD X2Y.F Worksheet by Kuta Software LLC
Evaluate each function.
9)
w
(
n
) =
n
− 5; Find
w
(−3)
A) −8* B) −3
C) 3 D) 5
10)
h
(
n
) =
−3
n
3 + 3
n
; Find
h
(4)
A) −180* B) 18
C) 180 D) −72
Identify the center and radius of each. Then sketch the graph.
11)
(
x
+ 1)2 +
(
y
+ 2)2 = 16
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (−1, −2)Radius: 4
12)
x
2 +
y
2 = 49
x
y
−8 −6 −4 −2 2 4 6 8
−8
−6
−4
−2
2
4
6
8Center: (0, 0)Radius: 7
Sketch the graph of each line.
13) −8 =
−2
y
+
1
2
x
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
14) −6 =
−2
x
− 3
y
−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
−6
−5
−4
−3
−2
1
2
3
4
5
6
-3-
-
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Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (−5, −1), slope =
−4
5
A)
y
=
x
− 5
*B)
y
=
−4
5
x
− 5
C)
y
=
−1
5
x
− 5
D)
y
=
−5
x
− 5
Write the slope-intercept form of the equation of the line through the given points.
16) through: (−5, 3) and (−4, −4)
A)
y
=
7
x
− 32
B)
y
=
−2
x
− 32
C)
y
=
2
x
− 32
*D)
y
=
−7
x
− 32
Write the slope-intercept form of the equation of the line described.
17) through: (4, 5), parallel to
y
=
3
x
+ 4
A)
y
=
−3
x
− 7 B)
y
=
−7
x
− 3
C)
y
=
2
x
− 7 D)
y
=
3
x
− 7*
18) through: (1, 2), perp. to
y
=
−2
5
x
− 4
A)
y
=
−1
2
x
− 1 B)
y
=
−
x
− 1
C)
y
=
5
2
x
−
1
2* D)
y
=
−
x
−
1
2
-4-
-
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Algebra 2ID: 1
Name___________________________________
Period____Date________________©6 S2Z0J1f1c SKkuQtaai zS4oNf0tHwOa8rReP nLOLCCa.d p qAQlZlI lrgiVgXhPtXsl 4rnefsWeHr6vGefdM.b
Quarter 1 Assessment Review
Simplify. Your answer should contain only positive exponents.
1)
4
u
−1
v
−4
3
v
2 ⋅
4
u
−2
v
4
A)
3
u
v
5B)
1
12
u
2v
6
C)
u
3
v
10D)
3
v
4
u
2
2)
2
x
−3
y
4 ⋅
3
x
−1
y
2
3
x
−4
A)
x
3y
2B)
1
3
x
10y
2
C)
4
3
y
2D) 2
y
6
3)
a
b
4
(
a
4
b
2)−4
A)
b
14
2
a
8B)
a
17b
12
C)
8
b
5
a
9D)
16
a
4
b
8
4)
(
2
x
2
y
4)2
x
y
−1
A) 4
y
9x
3 B)
x
8y
7
2
C) 8
y
2x
9 D)
2
y
9x
2
Solve each inequality and graph its solution.
5)
6
a
− 4 > 44
A) −5 ≤
a
< 5 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
B)
−20
3 <
a
< 8 : −8 −6 −4 −2 0 2 4 6 8 10
C)
a
> 8 or
a
<
−20
3 :
−8 −4 0 4 8
D)
a
≤ −5 or
a
> 5 : −8 −6 −4 −2 0 2 4 6 8
-1-
-
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6)
−9
x
− 7 ≤ 25
A)
x
≤
−32
9 or
x
≥ 2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
B)
−32
9 ≤
x
≤ 2 : −6 −5 −4 −3 −2 −1 0 1 2 3 4 5
C)
x
< −5 or
x
≥ −2 : −8 −7 −6 −5 −4 −3 −2 −1 0 1 2
D)
x
≥ 6 or
x
≤ −7 : −8 −4 0 4 8
Solve each compound inequality and graph its solution.
7)
1
6 <
m
−
1
2 ≤
12
5
A)
2
3 <
m
≤
29
10 :
−2 −1 0 1 2 3
B)
m
≥ −2 : −10 −8 −6 −4 −2 0 2 4 6 8 10
C)
m
>
3
2 :
−10 −8 −6 −4 −2 0 2 4 6 8 10
D)
2
3 <
m
≤
29
10 :
−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6
8)
k
− 5 >
−23
4 or
−11
8
k
>
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