Algebra 1 Review

Radicals

100

Simplify the following radical:

√144

What is 12

200

Simplify the following radical:

√72

What is 6√2 

300

−3√5+2√5

What is −1√5 

400

5√90+2√160

What is 23√10

500

5√35⋅7√20

What is 350√7

Exponents

100

x³  ⋅ x²

What is x⁵

200

(x⁵)²

What is x¹⁰

300

x⁸ ÷  x³

What is x⁵

400

Rewrite x^-3

1/x³

500

(x³)⁴/ x⁵

What is x⁷

FOIL

100

2(x+4)

What is 2x+8

200

2(x²+3x+4)

What is 2x²+6x+8 

300

(x+3)(x+4)

What is x²+7x+12 

400

(2x+4)(x+6)

What is 2x²+16x+24 

500

2(2x²+4x+3)(x+3)

What is 4x³+20x²+30x+18 

Special Products

100

(x+5)²

What is x²+10x+25 

200

(x−6)²

What is x²−12x+36 

300

(x+4)(x−4)

What is x²−16 

400

(2x+3)²

What is 4x²+12x+9 

500

(3x+2)(3x−2)

What is 9x²−4

Combine Like Terms

100

What does not change when adding or subtracting like terms?

The variable

200

(3x² - 2x + 4) + (5x² + 6x - 3)

What is 8x² + 4x + 1

300

(3x²-8x+7)-(2x²-6x+12)

What is x²-2x-5 

400

(-3x³ - 2x² + 6x) - (4x³ - 7x + 8)

What is -7x³ - 2x² + 13x - 8 

500

2(4x²+12x+16)+(2x²+4x+10)

What is 10x²+16x+26