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Garnet Valley Middle School
Math Packet
Skills needed for Math 8
Skill 1:
All students should be able to complete 20 single digit multiplication and division
problems within one minute. Use flash cards to practice. Do not use a calculator.
1) 8 x 9
2) 7 x 4
3) 12 x 6
4) 48÷ 8
5) 18 ÷ 3
6) 54 ÷ 6
7) 5 x 2
8) 5 x 9
9) 28 ÷ 7
10) 6 ÷ 2
11) 3 x 4
12) 21 ÷ 3
13) 12 x 5
14) 72 ÷ 9
15) 5 x 4
16) 24 ÷ 8
17) 36 ÷ 3
18) 9 x 3
19) 42 ÷ 6
20) 8 x 2
Skill 2:
All students should be able to complete 15 single digit addition and subtraction
problems within one minute. Use flash cards to practice. Do not use a calculator.
1) 5 + 3
2) 12 – 5
3) 20 – 7
4) 9 + 16
5) 18 – 7
6) 8 + 7
7) 4 + 16
8) 14 – 7
9) 7 – 2
10) 6 + 8
11) 13 – 5
12) 4 + 7
13) 9 – 3
14) 17 – 9
15) 5 + 6
Skill 3:
All students should be able to add, subtract, multiply, and divide double and triple
digit problems. Do not use a calculator.
1) 42
x 76
2) 368
x 215
3) 195
x 56
4) 842
- 563
5) 490
- 299
6) 348
- 59
7) 712
+ 932
8) 43
71
9)
10)
11)
Skill 4:
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
Skill 5:
EXPONENTS: Evaluate the expression.
1) 32
2) 53
3) 17
4) 0 8
5) 84
Skill 6:
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
Skill 7:
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
Skill 8:
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
Skill 9:
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
7) 5.92 x 0.5
13) 5.55  0.5
8) 21.4 x 6.2
14) 1.98  8
Skill 10:
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
Skill 11:
SIMPLIFYING EXPRESSIONS: Simplify the following expressions by combining like
terms.
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
Skill 12:
EQUATIONS: Solve for x.
10)
x
 20
3
11)
x
 15
4
12)
x
 14
5
Skill 13:
PROPORTIONS: Solve for the variable.
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
Skill 14:
FRACTIONS, DECIMALS, PERCENTS. Complete the table.
FRACTION
1
4
DECIMAL
PERCENT
45%
3
10
0.4
80%
0.5
Skill 15:
Write the number in standard form.
1) 7.1 x 10 5
2) 8.29 x 10 4
3) 5.884 x 10 6
Skill 16:
Find the LCM, Least Common Multiple of the numbers.
1) 9, 24
2) 16, 20
3) 7, 20, 35
Skill 17:
Find the GCF, Greatest Common Factor of the numbers.
1) 39, 52
2) 56, 81
3) 18, 30, 60
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