Unit 5 Part 1 Study Guide

Select the numbers that are rational.

• 1/3

• √19

• -18

• 57

• π/2

Select the numbers that are irrational.

• √81

• 6.8964251796374493...

• √17

• π

Simplify the expression: 2(a²b^-3)⁴

• 16a⁸/b¹²

• 2a⁸b^-12

• 2a⁸/b¹²

• 16a⁸b^-12

Which point best represents √30?

• A

• B

• C

• D

Javier’s bedroom is shaped like a square. What are the dimensions of the room if the area of the floor is 196 square feet?

• 12 feet by 12 feet

• 14 feet by 14 feet

• 16 feet by 16 feet

• 18 feet by 18 feet

Simplify the expression: (a⁴)⁵

• a⁹

• a²⁰

• a⁴⁵

• a⁵

Simplify the expression: (10g⁶)/(5g)

• 2g⁵

• 2g⁶

• 5g⁵

• 5g⁶

Simplify the expression: (x⁵)(x⁷)

• x¹²

• x³⁵

• x²

• x⁵

Which of the following numbers is closest to 7.4 on a number line?

• √59

• √64

• √49

• √55

Solve the following equation: x³ = 8/125

• x = 2/5

• x = 3/5

• x = 4/5

• x = 1/5