Algebra 1B Factoring and Solving

Factoring a=1

100

Factoring the following term:

x²+5x+6

(x+2)(x+3)

200

Factor the following expression:

x²-3x-10

(x-5)(x+2)

300

Factor the following expression.

x²-8x+15

(x-3)(x-5)

400

Factor the following expression.

x²-11x+30

(x-6)(x-5)

500

Factor the following expression.

x² + 2x - 35

(x + 7) (x - 5)

Solving a =1

100

Solve the following equation.

x²+7x+12=0

x = -3, -4

200

Solve the following equation.

x²+4x-21=0

x = -7, 3

300

Solve the following equation.

x²+9x+18=0

x = -6, -3

400

Solve the following equation.

x²- 6x = 27

x = 9, -3

500

Solve the following equation.

x² - 7x - 45 = 15

x = 12, -5

Factoring and Solving by Dividing Leading Coefficient

100

Factor the following expression:

3x²+15x+20

(x+4)(x+1)

200

Solve the following equation:

4x²+ 40x +84 = 0

x = -7, -3

300

Factor the following equation:

5x²+35x-150

(x+10)(x-3)

400

Solve the following equation:

2x²-20x-70 = 8

x = 13, -3

500

Solve the following equation:

10x² + 100x - 880 = 30x + 20

x = -18, 5

Factoring a ≠1

100

Factor the following expression:

5x² - 6x + 1

(5x - 1)(5x + 1)

200

Factor the following expression:

6x² - x - 5

(6x + 5)(x-1)

300

Factor the following expression:

3x² -17x +10

(3x - 2)(x - 5)

400

Factor the following expression:

6x² - 5x - 4

(3x - 4)(2y + 1)

500

Factor the following expression:

-5x² +7x -2

-(5x - 2)(x - 1)

Factoring and Solving a ≠1

100

Solve the following equation:

2x² + x - 1 = 0

x = 1/2, -1

200

Solve the following equation:

12x² - 24x - 63 =0

x = 7/2, -3/2

300

Solve the following equation:

3x² + 22x + 7 = 0

x = -1/3, -7

400

Solve the following equation:

7x²+ 2x = 5

x = 5/7, -1

500

Solve the following equation:

4(3x² - 7x + 4) = 1

x = 5/6, 3/2