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Free Pre-Algebra
Lessons 1 – 12  Practice Test
Lessons 1 - 12
Practice Test
Name ________________________________________
For studying convenience, the problem numbers match the number of the lesson they are taken from.
1. Round the numbers as indicated:
a. Round 5,678,321 to the nearest ten-thousand.
2. Label the places for the numbers 2, 3, 1/2, and 11/2 as
accurately as possible on the number line.
b. Round 5,678,321 to 2 sig figs.
c. Round “There are 5,678,321 registered motorcycles in
that state,” using your own judgment.
3. Find the perimeter and area of a rectangle with the given
dimensions. Include units in your answers.
4a. Find the volume of the box with the given dimensions.
Include units in your answers.
a. Length 18 feet, Width 20 feet
Length 6 inches, Width 10 inches, Height 4 inches
Perimeter
Volume
Area
b. Length 7 cm, Width twice the length
b. Write the multiplication as an exponential expression.
Length
7•7•7•7•7•7
Width
Perimeter
Evaluate the exponential expression.
Area
5. Simplify using the correct order of operations.
6. Use a formula to solve the problem.
a. 25
a. A car traveled at 70 miles per hour for 4 hours. How many
miles did the car travel?
b. 64
6 14 2 • 4
b. The speed reader read at the rate of 600 words per
minute for 35 minutes. How many words did she read?
2•4
c. 12 7
2
12
2
© 2010 Cheryl Wilcox
7
2
c. The Celsius temperature of the water was 100º. Find the
equivalent Fahrenheit temperature using the formula
F = 9C/5 + 32.
Free Pre-Algebra
7. Measure the lines.
Lessons 1 – 12  Practice Test
8. Find all the factor pairs.
a.
96
72
b.
What is the Greatest Common Factor (GCF) of 96 and 72?
9. Find the prime factorization.
a. 102
b. 255
11a. Convert to an improper fraction.
7
2
3
b. Convert to a mixed or whole number.
76
19
10. a. Use the rectangle to show that 2/3 = 4/6.
12. Multiply.
a. You have inherited 1/3 of 34 1/2 acres. How many acres
have you inherited?
b. Write 4 fractions equivalent to 5/6.
5
6
c. Write the fraction 102/255 in lowest terms.
b. What is 1/4 of 50 apples?
102
255
d. Write the fraction 72/96 in lowest terms.
72
96
c.
26 25
•
15 39
Great Fraction Review Website: http://www.helpwithfractions.com/math-homework-helper.html
© 2010 Cheryl Wilcox
Free Pre-Algebra
Lessons 1 – 12  Practice Test
Lessons 1 - 12
Practice Test Answers
For studying convenience, the problem numbers match the number of the lesson they are taken from.
1. Round the numbers as indicated:
2. Label the places for the numbers 2, 3, 1/2, and 11/2 as
accurately as possible on the number line.
a. Round 5,678,321 to the nearest ten-thousand.
5,678,321 rounds to 5,680,000
b. Round 5,678,321 to 2 sig figs.
5,678,321 rounds to 5,700,000
c. Round “There are 5,678,321 registered motorcycles in
that state,” using your own judgment.
less than 6 million, about 6 million
3. Find the perimeter and area of a rectangle with the given
dimensions. Include units in your answers.
4a. Find the volume of the box with the given dimensions.
Include units in your answers.
a. Length 18 feet, Width 20 feet
Length 6 inches, Width 10 inches, Height 4 inches
Perimeter P
Volume V
Area A
2(18 20) 2(38) 76 feet
(6)(10)(4) 240 in3
(18)(20) 360 square feet
b. Length 7 cm, Width twice the length
b. Write the multiplication as an exponential expression.
Length 7 cm
7 • 7 • 7 • 7 • 7 • 7 76
Perimeter P
Area A
Width 2•7=14 cm
2(7 14) 42 cm
Evaluate the exponential expression.
(7)(14) 98 cm2
76
117,649
5. Simplify using the correct order of operations.
6. Use a formula to solve the problem.
a. 25
a. A car traveled at 70 miles per hour for 4 hours. How many
miles did the car travel?
6 14 2 • 4
25 6 14 8
b. 64
25 36
128
c. 12 7
2
2
122
61
d=rt , r = 70, t = 4
d = (70)(4) = 280 miles
b. The speed reader read at the rate of 600 words per
minute for 35 minutes. How many words did she read?
2•4
32 • 4
5
25 6 6
d=rt, r = 600, t = 35
d = (600)(35) = 21,000 words
122 72
72
25 95 120
© 2010 Cheryl Wilcox
25
144 49
c. The Celsius temperature of the water was 100º. Find the
equivalent Fahrenheit temperature using the formula
F = 9C/5 + 32.
F = 9(100)/5 + 32 = 900/5 + 32 = 180 + 32 =
212ºF
Free Pre-Algebra
Lessons 1 – 12  Practice Test
7. Measure the lines.
8. Find all the factor pairs.
a. 11/16 inches
b. 23/8 inches
What is the Greatest Common Factor (GCF) of 96 and 72?
24
9. Find the prime factorization.
a. 102 = 2 • 3 • 17
11a. Convert to an improper fraction.
7
b. 255 = 3 • 5 • 17
2
3
21 2
3 3
23
3
b. Convert to a mixed or whole number.
76
19
10. a. Use the rectangle to show that 2/3 = 4/6.
76 19
19 19
4
1
4
12. Multiply.
a. You have inherited 1/3 of 34 1/2 acres. How many acres
have you inherited?
23
b. Write 4 fractions equivalent to 5/6.
1
1
• 34
3
2
5
6
b. What is 1/4 of 50 apples?
10
12
15
18
20
24
25
36
c. Write the fraction 102/255 in lowest terms.
102
255
2 • 3 • 17
3 • 5 • 17
2
5
d. Write the fraction 72/96 in lowest terms.
72
96
72 24
96 24
3
4
© 2010 Cheryl Wilcox
1 69
•
3 2
1
3
•
69
2
23
2
1
11
2
25
1
• 50
4
1 50
•
4 1
1
4
•
50
1
2
c.
26 25
•
15 39
2
5
26
25
15
3
•
39
3
10
9
25
2
12
1
2