Exponents, Perfect Squares, Square Roots, Order of Operations

Math 6 Unit 5 Test Study Guide – (SOL 6.5)

Write each power as a product of the same factor.

1) 96 ______

2) 34 ______

Write each product in exponential form.

3) 2 • 2 • 2 • 2 • 2 • 2 ______

4) 13 ______

Evaluate each power.

5) 63 ______

6) 142 ______

7) 40 ______

8) How do you know the answer for 1250 ? Explain.

______

9) 100 = _____ 101 = ______102 = ______103 = ______104 = ______

105 = ______106 = ______107 = ______

108 = ______109 = ______1010 = ______

10) How do you know the answer for 1020 ? Explain.

______

Identify each part:

11)

Write all the ways can you say the following:

12) 43 ______

13) 32 ______

Find the square of each number.

14) 8 ______

15) 5 ______

Find each square root.

16) ______

17) ______

Find the value of each expression.

You must SHOW ALL WORK to receive credit.

18) 2(8 – 3) – 7 ______

19) 15 ÷ 5 • 4 + 3 – 1 ______

20) (14– 8) • 6 ______

21) 33 – 3 ÷ 12 ______

22) 48 ÷ (12 + 4) • 7 ______

23) 6 + 2 • 20 ______

24) 8 ÷ 4 • 5 ______

25) 9 + (4 + 16 ÷ 8)2 ______

Circle the number that is NOT a perfect square.

26) 2 9 16 25 81

27) Below is the work from a student’s test.

Find the mistake and give the correct answer.

Step 1: 14 + 3(7 – 2) – 2 • 5

Step 2: 14 + 3(5) – 2 • 5

Step 3: 17(5) – 2 • 5

Step 4: 85 – 2 • 5

Step 5: 85 – 10

Step 6: 75

What is the mistake? ______

What is the correct answer? ______

28)