Radicals Practice Test - Mr. Graham's 8th Grade Algebra Website

Radicals Practice Test

Multiple Choice

Identify the choice that best completes the statement or answers the question.

1. Which of the following is a square root of 196? A. 98 B. -14 C. 392

B. ( C. ( D.

D. 16

) cm ) cm cm

7. Simplify the expression

.

2. Between what two consecutive whole numbers

A.

does

lie?

B.

A. 4 and 5

C.

B. 6 and 7

D.

C. 5 and 6 D. 7 and 8

3. Subtract.

A. B. C. D.

4. Find the square root. A. ?8 B. 32 C. 8 D. 4096

5. Evaluate A. B. -7 C. D. already simplified

8. Simplify the expression

. A. B.

C.

D.

9. Simplify the expression

.

A.

B.

C. D.

10. Simplify the expression

. A.

B.

C. D.

6. Find the perimeter of a triangle whose side lengths

are 15 cm,

cm, and

cm. Give the

answer as a radical expression in simplest form.

A. (

) cm

11. Multiply. Write the product in simplest form. A.

B. 2 6 + 2 7 C. 26 D. 2 3 + 14

12. Multiply. Write the product in simplest form.

A. 9 3 + 18 2 B. 3 11 C. D. 3 3 + 6 2

13. The area of a square garden is 173 square feet. Estimate the side length of the garden.

A. 16 ft B. 11 ft C. 15 ft D. 13 ft

14. The area of a square garden is 85 square meters. Estimate the side length of the garden.

A. 9 m B. 7 m C. 11 m D. 12 m

15. Simplify

.

A.

B.

C.

D.

16. Simplify

.

A.

B. C. D.

17. Between what two consecutive whole numbers

does

lie?

A. 13 and 14

B. 14 and 15

C. 15 and 16

D. 199 and 201

18. Multiply. Write the product in simplest form.

A. B.

C. D.

19. Multiply. Write the product in simplest form.

A. B. C. D.

20. Simplify the quotient

A. B. C. D.

21. Simplify the quotient A. B.

23. Simplify the expression A. B.

C. D.

22. A square stepping stone in Atlanta's Centennial

Olympic Park measure

feet on a side.

Which of the following is TRUE of the area of the

square stone?

A. The area is a perfect square B. The area is a rational number C. The area is an irrational number D. The area cannot be determined

. All variables represent nonnegative numbers. C.

D.

24. Simplify the expression A.

B.

. All variables represent nonnegative numbers. C.

D.

25. Write all classifications that apply to the real number .

A. real, irrational number, terminating decimal, integer, whole number, natural number B. real, rational number, terminating decimal, integer, whole number, natural number C. real, rational number, terminating decimal, whole number D. real, irrational number

26. Write all classifications that apply to the real number .

A. real, irrational number, terminating decimal, integer, whole number, natural number B. real, rational number, terminating decimal, whole number C. real, rational number, terminating decimal, integer, whole number, natural number D. real, irrational number

Short Answer (20 points) 27. A square has an area of 121 square feet. What is the PERIMTER of the square?

28. Simplify:

29. Simplify: 30. Simplify:

Radicals Practice Test Answer Section

MULTIPLE CHOICE

1. B 2. C 3. C 4. C 5. B 6. B 7. B 8. C 9. B 10. A 11. D 12. D 13. D 14. A 15. C 16. C 17. C 18. C 19. C 20. D 21. B 22. B 23. A 24. A 25. B 26. C

SHORT ANSWER

27. 44 feet (11 x 11 square so perimeter = 11+11+11+11 = 44 feet) 28.

29.

30.

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download