Name Date Class
Exponents & EQUATIONS (EE1-4, EE7)
STUDY GUIDE #1
Holt McDougal Mathematics
Name Date Class
Choose the best answer.
1. Simplify 10-2.
A -100 C 0.001
B -0.02 D 0.01
2. Simplify (-3)−2.
A -8 C
B D 9
3. Simplify .
A 11 C 17
B 15 D 21
4. Simplify (155)10.
A 1515 B 1550
5. What is the standard notation equivalent of 3 ´ 102?
A 0.03 C 300
B 30 D 900
6. Write this number in scientific notation: 3,480.
A 0.348 ´ 104 B 3.48 ´ 103
7. The length of your classroom is about 3.5 ´ 102 inches. If the hallway is ten times as long as the classroom, what is the length of the hallway, expressed in scientific notation?
A 3.5 ´ 102 inches
B 3.5 ´ 103 inches
C 35 ´ 102 inches
D 35 ´ 103 inches
8. Which is the quotient of (5.04 x 106) ÷ (3.6 x 102) in scientific notation?
A 1.4 x 102 C 1.4 x 104
B 1.4 x 103 D 1.4 x 105
9. Which is the product of (1.2 x 105) x (6.4 x 106) in scientific notation?
A 7.68 x 101 C 7.68 x 1011
B 7.68 x 102 D 7.68 x 1030
10. Simplify the fraction -.
A - B -
11. Write 0.20 as a fraction.
A C
B D
12. Write as a decimal.
A 0.009 B 0.09
13. Find all of the square roots of 36.
A 6 B –6 and 6
14. Laura is making a mosaic using ceramic tiles that are one-inch squares. If she uses 64 tiles to make a square mosaic, how long is each side of the mosaic?
A 4 inches C 8 inches
B 6 inches D 16 inches
15. Which of these expressions is true?
A 5 6 C 7 < 8
B 6 < 7 D 8 < 9
16. A square box lid has an area of 40 square inches. Which is the best estimate of the length of one side?
A 6.0 inches C 6.5 inches
B 6.3 inches D 7.0 inches
Holt McDougal Mathematics
Name Date Class
Exponents
STUDY GUIDE #1, continued
Holt McDougal Mathematics
Name Date Class
17. Which of the following is an irrational number?
A C
B 0.6 D
18. Which of the following is not a real number?
A 152 C
B 0.0005 D
19. Find a real number between (-2)2
and .
A -3 C 4.225
B 3.998 D 6
20. Solve m + 6.6 = 17.
A 10.4 B 23.6
21. Solve y - 2.5 = 8.5.
A y = 6 B y = 11
22. Solve = 6.
A z = 1 C z = 19
B z = 17 D z = 22
23. Solve 4y + 10 = –26.
A –9 B 9
24. Solve = 5.
A x = 4 B x = 8
Free Response
25. Simplify 10-4.
26. Simplify (-4)-2.
27. Write 1.75 ´ 10-3 in standard notation.
28. = 4
29. 3y + 6.8 = 16.1
30. Solve ++ 1 = a + 2.
31. Solve g - 4 = -2g + 6.
Holt McDougal Mathematics
Name Date Class
Holt McDougal Mathematics