Algebra 2
Name___________________________________ ID: 1
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Midterm Review
Date________________ Period____
Solve each equation.
1) -2 = -3x + x
2) -3v - 5v = 0
3) 2 + 4(8 - 4b) = -12 + 7b
4) 4(-6n + 1) + 4 = -40 - 8n
Solve each inequality and graph its solution.
5) 1 + 2x - 2 ³ 7
-3
-2
-1
0
1
6) -b - 5 + 6 > -4
2
3
4
5
6
7
-1
0
1
2
3
4
5
6
7
1
2
8
9
Write an inequality for each graph.
7)
8)
-7 -6 -5 -4 -3 -2 -1 0
1
2
3
4
5
6
7
-7 -6 -5 -4 -3 -2 -1 0
3
4
5
6
7
Solve each equation.
9) 8r + 10 = 70
10) -5 + 2n = 3
11) - 10 + p + 10 = 2
12) -4 + 8 7 + 2n = 84
Worksheet by Kuta Software LLC
-1-
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Solve each inequality.
13)
x
< -5
8
14) 6v < 30
15) 8r - 3 < 67
16) -2n - 8 ³ 6
17) 8 + 9 4m + 10 ³ 98
18) -2 8k - 6 - 1 > -93
Sketch the graph of each line.
19) x - 16 = -4 y
20) 5x = -6 + 2 y
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
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-2-
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Write the slope-intercept form of the equation of each line.
21)
22)
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 point-slope form of the equation of the line through the given points.
23) through: (0, -4) and (-2, -2)
24) through: (3, 3) and (0, 1)
Write the slope-intercept form of the equation of the line through the given points.
25) through: (3, -2) and (-2, 3)
26) through: (3, 0) and (0, 1)
Write the standard form of the equation of the line through the given points.
27) through: (-5, -4) and (2, 2)
28) through: (0, -1) and (4, -2)
Solve each system by elimination, substitution, augmented matrices, or graphing.
29) -8x + y = -15
2x - 3 y = 1
30) -2x + 3 y = 4
8x - 12 y = -16
Worksheet by Kuta Software LLC
-3-
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31) Chelsea and Stephanie each improved their yards by planting daylilies and geraniums. They
bought their supplies from the same store. Chelsea spent $94 on 11 daylilies and 7 geraniums.
Stephanie spent $116 on 10 daylilies and 14 geraniums. Find the cost of one daylily and the cost
of one geranium.
32) Stephanie and Ryan each improved their yards by planting hostas and ornamental grass. They
bought their supplies from the same store. Stephanie spent $54 on 6 hostas and 5 bunches of
ornamental grass. Ryan spent $90 on 12 hostas and 7 bunches of ornamental grass. Find the cost
of one hosta and the cost of one bunch of ornamental grass.
Sketch the solution to each system of inequalities.
33) y ³ -x + 1
y£x-3
1
34) y > x + 3
3
4
y³- x-2
3
y
5
4
y
3
5
2
4
1
3
-5
-4
-3
-2
-1
1
2
3
4
5 x
2
-1
1
-2
-5
-3
-4
-3
-2
-1
1
2
3
4
5 x
-1
-4
-2
-5
-3
-4
-5
Worksheet by Kuta Software LLC
-4-
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Answers to Midterm Review (ID: 1)
1) {1}
5) x ³ 4 :
2) {0}
-2
0
2
4
3) {2}
6) b < 5 :
6
0
7) v < -3
8) v ³ 5
11) {-2, -18}
12) {2, -9}
16) n £ -7 or n ³ -1
35
15) -8 < r <
4
19)
-6
-4
20)
y
4
4
2
2
6 x
4
-6
-4
-2
-2
-4
-4
-6
-6
23) y + 4 = -x
4
6
8
10) {4, 1}
}
14) -5 < v < 5
13
18) -5 < k <
2
1
21) y = - x
4
2
-2
22) y = 2x + 5
{
y
6
2
2
15
, -10
2
13) No solution.
17) m ³ 0 or m £ -5
9)
6
-2
4) {3}
4
6 x
25) y = -x + 1
2
( x - 3)
3
28) x + 4 y = -4
24) y - 3 =
1
27) 6x - 7 y = -2
26) y = - x + 1
3
30) Infinite number of solutions
31) daylily: $6, geranium: $4
32) hosta: $4, bunch of ornamental grass: $6
33)
29) (2, 1)
y
4
2
-4
-2
2
4
x
-2
-4
34)
y
4
2
-4
-2
2
4
x
-2
-4
Worksheet by Kuta Software LLC
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