Simplifying & Factoring Practice

Expand & Simplify

100

x(2x + 1)

What is 2x² + x

200

(x + 7)(x - 3)

What is x² + 4x - 21

300

(2x - 5)²

What is 4x² - 20x +25

400

3(x - 6)(x + 5)

What is 3x² - 3x - 90

500

3x(2x - 1) - 2x(3x + 1)

What is -5x

GCF

100

6x² + 12x - 18

What is 6

200

4x² + 14x

What is 2x

300

5x² - 20x

What is 5x

400

3x(x + 1) - 2(x + 1)

What is (x + 1)

500

x(3x - 2) + (3x - 2)(x + 1)

What is (3x - 2)

Common Factoring

100

3x² - 9x + 12

What is 3(x² - 3x + 4)

200

5x² - 15x

What is 5x(x - 3)

300

-8x² + 20x

What is -4x(2x - 5)

400

3x(x + 7) - 2(x + 7)

What is (x + 7)(3x - 2)

500

3x(2x - 5) +(2x - 5)(x + 1)

What is (2x - 5)(4x + 1)

Simple Trinomial Factoring

100

x² - 4x - 5

What is (x + 5)(x - 1)

200

x² - 3x - 28

What is (x - 7)(x + 4)

300

x² + 6x - 55

What is (x - 5)(x + 11)

400

2x² + 18x + 40

What is 2(x + 4)(x + 5)

500

-3x² - 27x - 54

What is -3(x + 3)(x + 6)

Mixed Questions

100

What is the GCF of 3x(x + y) - y(x + y)?

What is (x + y)

200

Expand and simplify 2(x + 1)² - 4

What is 2x² + 4x - 2

300

Factor -15x² - 10

What is -5(x + 2)

400

Factor x² - 7x + 10

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

500

x² +3xy - 10y²

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