Download College Algebra Unit 1 Benchmark Test Review Worksheet - .ks-ia2

ID: 1
College Algebra Unit 1 Benchmark Test Review Worksheet
Name___________________________________
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Date________________ Period____
Sketch the graph of each line.
1) 6 x + 5 y = 10
2) 2 x − y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1
1
2
3
4
5
−1
6 x
−6 −5 −4 −3 −2 −1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
3) 9 x + 4 y = −16
y
3
4
5
6 x
1
2
3
4
5
6 x
y
6
5
5
4
4
3
3
2
2
1
1
1
−1
2
4) 2 x + y = −1
6
−6 −5 −4 −3 −2 −1
1
−1
2
3
4
5
6 x
−6 −5 −4 −3 −2 −1
−1
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of each line.
5)
6)
y
y
4
4
2
2
−5 −4 −3 −2 −1
1
2
3
4
5 x
−5 −4 −3 −2 −1
−2
−2
−4
−4
1
2
3
4
5 x
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
7) Slope = 2, y-intercept = −2
1
8) Slope = , y-intercept = −4
2
Write the slope-intercept form of the equation of the line through the given points.
9) through: (3, 1) and (1, 5)
10) through: (1, −3) and (−4, 0)
Write the slope-intercept form of the equation of the line described.
11) through: (−1, −4), parallel to y = 6 x
12) through: (−4, 3), parallel to y = − x − 3
13) through: (1, 4), perp. to x = 0
2
14) through: (0, −5), perp. to y = − x + 5
7
Write the slope-intercept form of the equation of the line through the given point with the given slope.
15) through: (0, −3), slope = 4
16) through: (0, 1), slope = −
3
5
Evaluate each function.
17) k(a) = 3a + 3; Find k(−3)
18) f (t) = t + 4; Find f (2)
1
19) f (t) = 2t − ; Find f (−2)
3
20) g( x) = − x − 1; Find g −
( )
13
7
Evaluate each function. Round to the nearest hundredth if necessary.
21) g(t) = 0.5t − 4.1; Find g(3.8)
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22) g( x) = 3 x + 3.4; Find g(−0.5)
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Worksheet by Kuta Software LLC
Evaluate each function.
23) h( x) = −3 x + 1 ; Find h(−4 − x)
()
25) k( x) = 2 x − 2; Find k
1
3
24) p(n) = 5
2n
− 3; Find p(−1 − n)
()
9
2
26) k( x) = x − ; Find k
5
5
Evaluate each function. Round to the nearest hundredth if necessary.
27) k( x) = 1.1 x − 2.6; Find k(8.4)
28) p(a) = −1.6a − 1.5; Find p(−7.3)
Solve each system by graphing.
29) x − 2 y = 8
5x + 2 y = 4
30) x + 3 y = 12
4x − 3 y = 3
Solve each system by elimination.
31) 4 x − 2 y = 28
−2 x + 3 y = −2
32) 14 x + y = 13
7 x − 5 y = 12
Solve each system by graphing.
33) y = −1 − x
y = 3 − 5x
34) −24 + 9 x = 6 y
−2 x = 8 − 8 y
Solve each system by substitution.
35) y = 6 x − 4
−7 x + 4 y = −16
36) −8 x − 3 y = 4
y = −5 x + 1
Solve each system by elimination.
37) −2 x + 5 y − 2z = −20
2 x − 2 y + 3z = 1
−2 x + 3 y − 6z = −4
38) 6 x − 6 y − 5z = 28
−2 x + y + 3z = −12
4 x + 6 y − 2z = 16
39) Yellowstone National Park is a popular field trip destination. This year the senior class at High School A
and the senior class at High School B both planned trips there. The senior class at High School A rented
and filled 6 vans and 6 buses with 396 students. High School B rented and filled 14 vans and 12 buses with
816 students. Every van had the same number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?
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-3-
Worksheet by Kuta Software LLC
40) Given the graph of a function f, determine the
domain and the range of f.
41) Given the graph of a function f, determine the
domain and the range of f.
y
−8
−6
−4
y
8
8
6
6
4
4
2
2
−2
2
4
6
8 x
−8
−6
−4
−2
2
6
8 x
43) Find the domain of f. f(x) =
8
x−2
−2
−2
−4
−4
−6
−6
−8
−8
42) Given the graph of a function f, determine the
domain and range of f.
y
4
8
6
4
2
−8
−6
−4
−2
2
4
6
8 x
−2
−4
−6
−8
44) Find the domain of f. f(x) = −2 x + 7
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Worksheet by Kuta Software LLC
Answers to (ID: 1)
1)
2)
y
−6
−4
3)
y
y
6
6
6
4
4
4
2
2
2
−2
2
4
6 x
−6
−4
−2
2
4
6 x
−6
−4
−2
2
−2
−2
−2
−4
−4
−4
−6
−6
−6
4)
5) y = −7 x + 4
y
4
6 x
6) y = − x − 5
6
4
2
−6
−4
−2
2
4
6 x
−2
−4
−6
7) y = 2 x − 2
11) y = 6 x + 2
15) y = 4 x − 3
13
3
23) −3 −3 − x
19) −
27)
31)
35)
39)
42)
43)
44)
1
x−4
2
12) y = − x − 1
8) y =
3
16) y = − x + 1
5
6
20)
7
24) 5 −2 − 2n − 3
9) y = −2 x + 7
17) −6
3
12
10) y = − x −
5
5
7
14) y = x − 5
2
18) 6
21) −2.2
22) 1.9
13) y = 4
6.64
28) 10.18
29)
(10, 6)
32) (1, −1)
33)
(0, −4)
36) (1, −4)
37)
Van: 12, Bus: 54
40) 0
41)
The dot next to the choice indicates that it is the answer.
The dot next to the choice indicates that it is the answer.
The dot next to the choice indicates that it is the answer.
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4
3
(2, −3)
(1, −2)
(−4, −6, −1)
0
25) −
-5-
7
5
30) (3, 3)
34) (4, 2)
38) (3, 0, −2)
26) −
Worksheet by Kuta Software LLC