Bluebook SAT Test SAT Exponents and Radicals Practice 6

Question 1

Which of the following equals 3^(x+2)?

Accepted Answer

9 × 3^x

Answer

3^(x+2) = 3^x × 3² = 9 × 3^x.

Question 2

Simplify ∛54 in simplest radical form.

Accepted Answer

3∛2

Answer

∛54 = ∛(27 × 2) = 3∛2.

Question 3

What is the value of x if √(x + 9) − √x = 1?

Accepted Answer

16

Answer

Isolate: √(x+9) = √x + 1. Square: x + 9 = x + 2√x + 1 → 8 = 2√x → √x = 4 → x = 16.

Question 4

Simplify: (x²/y)³ ÷ (x/y²)²

Accepted Answer

x⁴y

Answer

(x²/y)³ = x⁶/y³ and (x/y²)² = x²/y⁴. Dividing: x⁶/y³ ÷ x²/y⁴ = x⁴y.

Question 5

Which of the following equals 5^(1/2) × 20^(1/2)?

Accepted Answer

10

Answer

(5 × 20)^(1/2) = 100^(1/2) = 10.

Bluebook SAT Practice Test