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Pre-Algebra, Practice Test Factors and Exponents, Mr. Martin
(Show all work. Solve as shown in class.)
1. Write using an exponent.
2. Simplify. -24
5x5x5x5x5
3. Simplify. (-2)4
5. Simplify.
4. Simplify.
3(42 – 10)
6.
34
Write in scientific notation. 65,000,000
7. Write in standard form. 7.254 x 102
8. Simplify.
9. State whether divisible by 2, 3, 4, 5, 6, 8, 9 or 10.
840
10. State whether divisible by 2, 3, 4, 5, 6, 8, 9 or 10.
324
11. State the definition of a prime number.
12. State the definition of a composite number.
13. State whether prime (P), composite (C) or
neither (N).
14. Write the prime factorization using a factor tree.
Use exponents where possible. 360
(a.) 43 (b.) 23
(c.) 42
(d.) 0
(e.) 1
70
15. Write the prime factorization using a factor tree. 16. List all of the factors of 36. (Not just the prime
Use exponents where possible. 1,000
factors.)
17. Find the Greatest Common Factor of 54 and 72
using factor trees.
18. Simplify
19. Find the Greatest Common Factor of 24 and 90
using factor trees.
21.
Find four equivalent fractions.
23. Write in simplest form.
54
72
5
20
20. Simplify
35 x3 y 2
7 xy
(5 x5 y 2 )(2 x 3 y 3 )
22. Find four equivalent fractions.
24. Write in simplest form.
18
30
4
8
25. Find all the factors of 72.
26. Find all the factors of 54.
27. Express .000234 in scientific notation.
28. Express 234,000,000,000 in scientific notation.
29. Express 4.5 x 105 in standard form.
30. Express 2.567 x 10-2 in standard form.
31. Multiply: (3.5 x 103)(2.1 x 10-1)
32. Complete: A rational number is a number that can
be written in the form of _______ where A and B are
integers and B is not equal to zero.
33. Circle which of the following are rational
numbers.
34. Simplify. 23 (5 – 2)2
0, 4, .25,
3
,
4
35. Simplify. 105
5,
81 , π,
- 5.5, -4
36. Express as a power of ten. 1,000,000,000