Algebra 1 Factoring Review

Solving Equations

100

Solve for x: (x-1)(x+3)=0

What is x=1 and x=-3?

200

Solve for x: (2x+1)(x-4)=0

What is x=-1/2 and x=4?

300

Solve for x: x²+8x+15=0

What is x=-3 and x=-5?

400

Solve for x: 4x²-25=0

What is x=5/2 and x=-5/2?

500

Solve for x: 2x²+7x+3=0

What x=-1/2 and x=-3?

Difference of Squares

100

x² - 9

What is (x-3)(x+3).

200

x² - 16

What is (x-4)(4+4)

300

49 - x²

What is (7-x)(7+x).

400

x² - 100

What is (x-10)(x+10)

500

4x² - 49

What is (2x-7)(2x+7).

GCF

100

3x²+ 6x

What is 3x(x + 2)

200

5x² - 125x

What is 5x(x - 25)

300

4x³ + 6x + 2x²

What is 2x(2x² + 3 + x)

400

6x²y + 9xy²

What is 3xy(2x + 3y)

500

7x²+14x+49

What is 7(x²+2x+49)

Exponents

100

2m² ⋅ 2m³

4m⁵

200

4a³ b² ⋅ 3a^-4b^-3

12/ab

300

 (2x⁴ y⁻³⁾⁻¹ 

y³ /2x⁴

400

4x⁰ y⁻² z³/ 4x

z³/y²x

   

500

4m⁴n³p³ /3m² n² p⁴

4m²n/3p

Regular Trinomials

100

x² +2x+1

What is (x+1)(x+1)

200

x²-2x-15

What is (x-5)(x+3)

300

x³ + x² -30x

What is x(x-5)(x+6)

400

x²-23x-50

What is (x-25)(x+2)

500

2x²+6x-20

What is 2(x-2)(x+5)