EOC Practice #7SPI 3102.2.1

EOC Practice #7

• Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions.

x3

1. If the value of the variable x is positive, what is the sum of and ?

x37

A. C.

B. D.

x37

x38

x67

x68

2. What is the value of the following expression?

64

25

49

36

A. C.

B. D.

3136

1079

56

83

15

11

56

13

3. Write in simplest radical form. 75

A. C.

B. D.

35

515

53

155

4. Which expression is equivalent

to ? 425x

A. 5x4 C. 25x8

B. 25x4 D. 625x8

5. Which expression is equivalent to ? 5

10x

A. C.

B. D.

2 5x

10 5x

5 2x

25

10x

6. What is the product of and ?

323 5

A. C.

B. D.

155

6 8

5 8

6 15

7. Write in simplest radical form.

5418 yx

A. C.

B. D.

2 22 3x y y

2 23 6x y y

22 3xy y

2 23 2x y y

8. If x ≠ , which expression is

equivalent to ?

2

3

2

2

3 20 12

9 12 4

x x

x x

A. x + 6 C. –6x2 + 8x – 8

B. 3x + 2 D. 12x2 + 32x + 16

The Answers

x3

1. If the value of the variable x is positive, what is the sum of and ?

x37

A. C.

B. D.

x37

x38

x67

x68

2. What is the value of the following expression?

64

25

49

36

A. C.

B. D.

3136

1079

56

83

15

11

56

13

3. Write in simplest radical form. 75

A. C.

B. D.

35

515

53

155

4. Which expression is equivalent

to ? 425x

A. 5x4 C. 25x8

B. 25x4 D. 625x8

5. Which expression is equivalent to ? 5

10x

A. C.

B. D.

2 5x

10 5x

5 2x

25

10x

6. What is the product of and ?

323 5

A. C.

B. D.

155

6 8

5 8

6 15

7. Write in simplest radical form.

5418 yx

A. C.

B. D.

2 22 3x y y

2 23 6x y y

22 3xy y

2 23 2x y y

8. If x ≠ , which expression is

equivalent to ?

2

3

2

2

3 20 12

9 12 4

x x

x x

A. x + 6 C. –6x2 + 8x – 8

B. 3x + 2 D. 12x2 + 32x + 16