Download EVALUATE: Evaluate the variable expressions. a = 2, b = -3, c =

Garnet Valley Middle School
Math Packet
Skills needed for 7th grade Pre-Algebra
INTEGERS: All students should be able to add, subtract, multiply, and divide
integers. Calculators are not permitted.
1) -10 + (-10)
2) -6 + (-10)
3) -8 + 15
4) -13 + (-3) + 2
5) -3 – 6
6) -2 – (-9)
7) 13 – 19
8) -14 – 16 + 4
9) 4 x -4
10) -15 x -2
11) -12 x -7
12) -4 x -3 x -6
13) -15  -3
14) 25  5
15) -56  7
16) -100  -5
EXPONENTS
1) 32
2) 53
3) 17
4) 0 8
5) 84
ORDER OF OPERATIONS: Simplify the following expressions using the order
of operations.
1) 7  4  2
2) 22  8 – 10
3) (5+4)  7
4) (5 + 3)2 – 4
5) 36 - 52 + 7
6) 4 + 6(5 – 2)  3
7)
15  7
3 1
8)
93
3  32
9)
9  3   30
4
ORDERING: Order the following numbers from least to greatest.
1) -3, -9, 0, 3, -4
2) -4, 5 , 6, 2
3) 0.5, 0.9,
7
8
4)
6
, 0.7, .075
7
FRACTIONS: Solve the following problems with fractions. Calculators are not
permitted.
1)
7
1

10 10
1
5
6) 5  2
9
6
10)
3 5

4 8
2)
5 1

6 6
1
3
3) 3  1
4
4
1 4
7) 
3 5
11) 9  4
8) 12 
2
3
2
8
5) 1  6
5
15
3
4
3
2
9) 5  10
4
3
1
2
12) 4  3
6
5
DECIMALS: Solve the following problems with decimals. Calculators are not
permitted.
1) 222.4 + 35.6
2) 123.4 + 12.33
3) 6.04 + 18.85 + 10.25
4) 800 – 47.2
5) 98.45 – 1.028
6) 246.13 – 2.023 – 35.6
7) 5.92 x 0.5
13) 5.55  0.5
8) 21.4 x 6.2
14) 1.98  8
EVALUATE: Evaluate the variable expressions. x = 7 and y = 15
1) y + 9
2) x – 6
3) 4y
4) 8 + x
5)
14
x
EVALUATE: Evaluate the variable expressions. a = 2, b = -3, c = -2, and d = 12
1) abc
3) cd – ab
2) b 2
4)
d
a
SIMPLIFYING EXPRESSIONS
1) 3x + 2x + 7x
2) 5x + 2b + 3x + 5b
3) 3 + 2x + 4 + 2x
4) 6y + 5 – y
5) 8a + 4 – 4a
6) 15 + 4x – 7
7) 6x + 2 + 3x + 4
8) 2n + 12 + 3n – 3
9) 3(x + 4) + 2
1) x – 8 = 24
2) x + 4 = 38
3) x – 16 = -24
7) 3x = 39
8) 9x = 117
9) –2x = -400
EQUATIONS: Solve for x.
10)
x
 20
3
11)
x
 15
4
12)
x
 14
5
PROPORTIONS
1)
a 20

7 70
2)
s
24

13 52
3)
9
y

4 68
4)
5
x

12 4
5)
10 5

m 6
6)
7 21

2 b
FRACTIONS, DECIMALS, PERCENTS
FRACTION
1
4
DECIMAL
PERCENT
45%
3
10
0.4
80%
0.5
Write the number in standard form.
1) 7.1 x 10 5
2) 8.29 x 10 4
3) 5.884 x 10 6
Find the LCM, Least Common Multiple of the numbers.
1) 9, 24
2) 16, 20
3) 7, 20, 35
Find the GCF, Greatest Common Factor of the numbers.
1) 39, 52
2) 56, 81
3) 18, 30, 60