Download Pre-Algebra, Unit 04 Practice Test: Factors, Fractions, and

Pre-Algebra, Unit 04 Practice Test: Factors, Fractions, and Exponents
Name:
Date:
1. Define common factor and give an example.
2. Define prime number and give an example.
3. Define multiple.
4. Is one a prime number? Why or why not?
5. Are the numbers 21 and 24 relatively prime? Explain your thinking.
6. Write a strategy for finding the least common multiple.
7. How are the terms least common multiple and least common denominator related?
Pre-Algebra Practice Test
Unit 04: Factors, Fractions, and Exponents
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8. Which set contains only composite numbers?
A.
B.
C.
D.
15,18,19, 21
22, 27, 33,39
41, 45, 46, 49
51,53,55,57
9. For which value of x is the value of the expression 4 x  1 a prime number?
A.
B.
C.
D.
0
2
4
6
10. (SE) What is the prime factorization of 36?
A. 2  32
B. 22  32
C. 62
D. 182
11. Find the greatest common factor of 64 and 48.
12. (SE) Find the greatest common factor (GCF) of 9 x 3 y and 15 x 2 y 2 .
A.
B.
C.
D.
45 x 5 y 3
45 x 2 y
3x 5 y 3
3x 2 y
13. Write two fractions that are equivalent to
Pre-Algebra Practice Test
4
.
10
Unit 04: Factors, Fractions, and Exponents
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14. Write the fraction
25
in simplest form.
40
15. In a survey of 40 people, 24 prefer diet soda to regular soda. What fraction of those who
participated in the survey prefers regular soda? Give your answer in simplest form.
1 27 13
.
16. Order from least to greatest: 3 ,
,
2 8 4
17. (SE) Write the fraction below in simplest form.
12a 3b2
30ab3
A.
B.
C.
D.
2a 2
5b
2a 4
5b5
4a 2
10b
4a 4
10b5
18. Find the least common multiple of 10, 12, and 14.
Pre-Algebra Practice Test
Unit 04: Factors, Fractions, and Exponents
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19. (SE) Find the least common multiple (LCM) of 6 x 2 y 2 and 12 x 4 y.
A. 6 x 2 y
B. 6 x 4 y 2
C. 12 x 2 y 2
D. 12 x 4 y 2
Simplify:
x3  x5
20.
21.
x8
x4
22.
2n 5  3n 2
23.
24m11
18m5
24.
x0
25. Write the expression 105 using only positive exponents.
26. Write the expression
1
without using a fraction bar.
1000
27. (SE/CRT) What is 2.78  105 written in standard form?
A.
B.
C.
D.
0.00000278
0.0000278
27,800
278,000
Pre-Algebra Practice Test
Unit 04: Factors, Fractions, and Exponents
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28. (SE) What is 0.0028 written in scientific notation?
A.
B.
C.
D.
2.8  103
2.8  102
2.8  102
2.8  103
29. (SE) A student believes 7.3  102 represents a number that is 40 times larger than the
number represented by 7.3  102. What error is the student making? Explain your
thinking.
30. (SE) Explain why 14.7  103 is not in scientific notation. What is the correct way to write
this value in scientific notation?
Pre-Algebra Practice Test
Unit 04: Factors, Fractions, and Exponents
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31. A student government is made up of 40 students from the 8th grade, 24 students from the
7th grade, and 16 students from the 6th grade. What is the greatest number of identical
committees that can be formed using all the students? Explain your thinking.
Long term memory review:
32. Evaluate the expression: 17  3  2
33. (SE) Solve the inequality for x.
4 x  24
34. (SE/CRT) An equation is shown below.
x 2
Which graph represents all the solutions for the equation?
A.
B.
C.
5
0
5
5
0
5
5
0
5
5
0
5
D.
Pre-Algebra Practice Test
Unit 04: Factors, Fractions, and Exponents
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