Algebra 1
Name___________________________________ ID: 1
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Review Sheet for Midterm
Date________________ Period____
Write each as an algebraic expression, equation or inequality.
1) 11 less than n is greater than 14
Evaluate each expression.
2) 13 - (20 - (5 × 23 - 15))
Evaluate each using the values given.
3) k - h ; use h = 24, and k = 25
4) -6(a + c); use a = -3, and c = 20
2
Evaluate each expression.
5) 6
( )
3
23
- 8
12
6) 6
( )
8
3
3
- + 11 2
4
Find each quotient.
5
8
7)
1
2
1
Worksheet by Kuta Software LLC
-1-
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Simplify each expression.
8) -6(8k + 10) - 3(5 - 8k)
9) 9 - 3(2x - 1)
Solve each equation.
10) -2 =
b-1
7
11) 7m - 2 = 14 + 6m + 3m
12) -12 + 3 p = 8(-3 p + 8) + 8 p
13) -4 + 3( x + 4) = 8(1 - 5x)
14) -4(-3m - 3) + 1 = 4(3m + 2) + 5
15) 8 = -4(3 - 6x) - 3(8x - 4)
16) -8x = 80
17) -3r - 5 = 19
Solve each equation for the indicated variable.
18) u = 2 - 2x , for x
Worksheet by Kuta Software LLC
-2-
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Solve each inequality and graph its solution.
19) 93 ³ 3(-1 + 4n)
2
3
4
5
6
7
8
9
10
11
12
Solve each compound inequality and graph its solution.
20) 2 + m > 11 or -2 - m > 3
-8
-6
-4
-2
0
2
4
6
21)
8
10
12
x
£ -1 and 10 - x < 20
3
-12
-10
-8
-6
-4
-2
Solve each proportion.
22)
9
11
=
3 k+2
23)
9
10
=
n+3 n-9
Find the slope of the line through each pair of points.
24) (5, -5), (-10, 9)
Find the slope of each line.
25) x - 4 y = -12
Worksheet by Kuta Software LLC
-3-
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Sketch the graph of each line.
26) x-intercept = 3, y-intercept = -3
y
6
3
27) y = - x + 2
4
y
5
6
4
5
3
4
2
3
1
2
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
1
-1
-6 -5 -4 -3 -2 -1
-2
1
2
3
4
5
6 x
-1
-3
-2
-4
-3
-5
-4
-6
-5
-6
28) 8x + 3 y = 15
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-1
-2
-3
-4
-5
-6
Worksheet by Kuta Software LLC
-4-
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Write the slope-intercept form of the equation of each line.
29)
y
4
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-2
-4
Write the slope-intercept form of the equation of the line through the given point with the given
slope.
30) through: (4, -1), slope = 1
Write the slope-intercept form of the equation of the line through the given points.
31) through: (-1, 0) and (1, 3)
Write the slope-intercept form of the equation of the line described.
4
32) through: (-5, -5), parallel to y = x - 5
5
1
33) through: (2, -4), perp. to y = x + 3
3
Write the point-slope form of the equation of the line through the given point with the given
slope.
34) through: (5, 2), slope =
7
5
Worksheet by Kuta Software LLC
-5-
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Write the point-slope form of the equation of the line through the given points.
35) through: (-3, -5) and (0, 2)
Sketch the graph of each linear inequality.
36) y ³ -7x + 4
37) 7x + 4 y ³ 20
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
38) x £ 2
y
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-1
-2
-3
-4
-5
-6
Worksheet by Kuta Software LLC
-6-
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