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Summer Packet Algebra
Name___________________________________
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Find each sum.
1) (-5) + 7
2) (-1.03) + 5.5
( ) ( )
3) -
1
3
+ 2
8
Find each difference.
4) 8 - (-1)
5) 1.5 - 6.5
( )
6) 4 - -2
3
4
Simplify each expression.
7) v + 8v
8) p( p - 9)
9) 4n - 10(-7n + 3)
10) 10(-n - 5) + 3n(-5n + 1)
Solve each equation.
11) 7 = 4 - x
13)
n
= -1
5
12) 16 = a - 1
14) a - (-7) = 23
Worksheet by Kuta Software LLC
-1-
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15) 10k - 7 = 103
16) -8 +
x
= -12
3
17) 0 = 2 + 5m - 2
18) 6(1 - 6k) = -246
19) 57 = 3( x + 5) - 3(1 + 6x)
20) 11 + 4x = 7 + 3x
21) p + 39 = -8(1 - 6 p)
22) 29 + n = 4(5 - 2n)
Simplify. Your answer should contain only positive exponents.
2
23) 6b × 4b
3
24)
5v
4v
25) (2x
2
3 4
)
Worksheet by Kuta Software LLC
-2-
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Sketch the graph of each line.
26) y = 2x + 5
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
Find the GCF of each.
27) 40, 16
28) 12, 36, 42
Find the LCM of each.
29) 25, 36
30) 36, 18, 24
Find the slope of each line.
31)
32) y = 2x - 5
y
x
Worksheet by Kuta Software LLC
-3-
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Write the slope-intercept form of the equation of each line.
33)
y
4
2
-5 -4 -3 -2 -1
1
2
3
4
5 x
-2
-4
Write each as a decimal.
34) 40%
Write each as a decimal. Use repeating decimals when necessary.
35)
4
5
Write each as a percent. Use repeating decimals when necessary.
36)
1
2
37) 0.228
Write each as a fraction.
38) 0.2
39) 84%
Solve each proportion.
40)
9 5
=
5 r
Worksheet by Kuta Software LLC
-4-
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