ALGEBRA II: L2 Simplifying Radicals and Expressions

Use interval notation to represent the set of numbers: −8<x≤−1

(-8, -1]

Simplify the expression: -2(2x + y) - 7x + 2y.

-11x

Evaluate the following expression for x = 2 and y = 5. Simplify. x2y−xy2+3y

-15

Evaluate the expression for x = 2 and y = 4 3xy/x2−9y+2

-4/5

Simplify the expression -3(2x - xy + 3y) - 11xy.

-6x - 8xy - 9y

Estimate to the nearest tenth. -square root 55

-7.4

Estimate to the nearest tenth. −square root 93

-9.6

Simplify the expression. Enter a numerical answer. square root 5∙square root 20

10

Simplify the expression. square root 200

10 square root 2

Jenny makes $13.50 per hour at her part-time job. Which expression would represent the amount of money she would make after h hours?

13.5h

If Jenny gets a bonus of $50 one week, and works h hours that week, write an expression for the total amount of money she would make that week.

13.5h + 50

Simplify the expression: 4s + 6t - 2s + 7t.

2s + 13t

Simplify the expression. square root 45

3 square root 5

Simplify the expression. square root 36/16

3/2

Simplify the expression. square root 48

4 square root 3

Estimate to the nearest tenth. square root 20

4.5

Simplify the expression. square root 75

5 square root 3

Estimate to the nearest tenth. square root 42

6.5

Estimate to the nearest whole number. square root 55

7

Simplify the expression. Enter a numerical answer. square root 147/square root 3

7

Simplify the expression: 10x - 3y + x - 3x.

8x - 3y

Evaluate the expression for a = 5 and b = 8.

9

Find the additive and multiplicative inverse of the following number: 2/7

Additive: -2/7 Multiplicative: 7/2

Identify the property demonstrated by the equation: π(2+8)=(π)(2)+(π)(8)

Distributive