Deck 9: Section 1: Radicals and Rational Exponents

Question 1

Find the domain of the radical function.

A)
B) (-∞, ∞)
C)
D)

Answer 1

Question 2

Rewrite the expression with a rational denominator.

A)
B)
C)
D)

Answer 2

Question 3

Simplify:

A)
B)
C)
D)

Answer 3

Question 4

Find the root. Assume the variable represents a positive real number.

A) z¹⁵
B) z⁵
C) z⁴
D) z

Question 5

Find all real solutions. (w - 5)^-1/3 = 1

A) {-6, 6}
B) {-24}
C)
D) {6}

Question 6

Find the root.

A) -3, 3
B) Not a real number.
C) -3
D) 3

Question 7

Simplify. Assume the variables represent positive real numbers.

A)
B)
C)
D)

Question 8

Find all real solutions. (s + 5)² - 10 = 0

A)
B)
C)
D)

Question 9

Simplify.

A)
B)
C)
D)

Question 10

Evaluate: (125)^-4/3

A)
B) 5
C)
D)

Question 11

Find all real solutions.

A)
B)
C)
D)

Question 12

Simplify. Assume variables represent positive numbers.

A) The expression cannot be simplified.
B)

C)

D)

Question 13

Simplify.

A) The expression cannot be rationalized.
B)

C)

D)

Question 14

Find all real solutions.

A) {1, 2}
B) {-1, 1}
C)
D) {-1}

Question 15

Write in simplified radical form.

A)
B)
C)
D)

Question 16

Find the product.

A) -21
B) 89
C) 111
D) 1

Question 17

Simplify. Assume the variables represent positive real numbers.

A)
B)
C)
D)

Question 18

Simplify: 81^2/3  81^1/6

A) 9
B)
C)
D) 81

Question 19

Find all real solutions. -7(x - 5)⁹ = 0

A) {0}
B)
C) {5}
D) {-5, 5}

Question 20

Simplify.

A)
B)
C)
D)

Question 21

Find the complex solutions.

A)
B)
C)
D)

Question 22

Find the quotient.

A)
B)
C)
D)

Question 23

Write the expression in the form a + bi, where a and b are real numbers.

A)
B)
C)
D)

Question 24

Find the difference. (1 + 4i) - (-7 + 7i)

A) -6 - 3i
B) 8 + 11i
C) -6 + 11i
D) 8 - 3i

Question 25

The diagonal of a square measures 12 inches. What is the length of the sides?

A) 6 inches
B) 6 inches
C) 12 inches
D) 6 inches