Free Printable Solving by factoring and Quadratic Formula

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Solving by factoring and Quadratic Formula

Total questions: 30

Worksheet time: 2hrs 34mins

Name

Class

Date

Solve for the values of x:
(x - 3)(x + 6) = 0

{ -3, -6 }

{ 3, -6 }

{ -3, -6 }

{ 3, 6 }

Solve by factoring: 2x²+ 7x + 6 = 0

x= 3/2 and x = 2

x = -3/2 and x = -2

x = 6 and x = 7

x = -6 and x = -7

Solve by factoring: x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

What is the positive solution to x² + 3x - 18 = 0?

x = 6

x = 3

x = 2

x = 9

Solve by factoring: 5x² + 13x + 6 = 0

x = -2 and x = -3/5

x = 2 and x = 3/5

x = -2 and x = 3/5

x = 2 and x = -3/5

x²+ 4x - 32 = 0

{-8, 4}

{8, -4}

{-8, -4}

{-2, 16}

Solve (x - 11)(5x + 1) = 0

{11, -1/5}

{-11, -1/5}

{11, 1/5}

{-11, 1/5}

Solve
16a² - 9 = 0

{^-3/₄, ³/_4}

{^-4/₃, ⁴/_3}

{^-9/₁₆, ⁹/_16}

{^-16/₉, ¹⁶/_9}

Solve: $2x^2+x=6$

$x=6$ and $x=\frac{5}{2}$

$x=-2$ and $x=\frac{3}{2}$

$x=\frac{3}{2}$ and $x=2$

$x=-\frac{5}{2}$ and $x=6$

10.

Solve:

x² - 49 = 0

{-7, 7}

{-7}

{7}

{-7, 1}

11.

Identify a, b and c for the following Quadratic:

4x² - 5x + 6 = 0

a = 6, b = - 5, c = 4

a = 6, b = 4, c = -5

a = 4, b = - 5, c = 6

a = 4, b = 5, c = 6

12.

Identify a, b and c for the following Quadratic:

-8x² + x + 7 = 0

a = 8, b = 1, c = 7

a = - 8, b = 1, c = 7

a = 7, b = 8, c = 1

a = 1, b = 7, c = - 8

13.

Identify a, b and c for the following Quadratic:

x² + 2x = 4

a = 1, b = - 4, c = 2

a = 1, b = 2, c = 4

a = 1, b = 2, c = 0

a = 1, b = 2, c = - 4

14.

Identify a, b and c for the following Quadratic:

x² + 4 = 0

a = 1, b = - 4, c = 2

a = 1, b = 0, c = 4

a = 1, b = - 4, c = 0

a = 1, b = 0, c = - 4

15.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

No Real Solution

16.

What should you do first in solving this equation?

x² + 6x - 13 = 3

Factor

Write down: a = 1, b = 6, c = -13

Subtract 3 from both sides.

Add 3 to both sides.

17.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

x = 7/2, x = -6

x = -5/2, x =5

x = -3/7, x =6

x = -5/2, x = 7

18.

2x²-x -3=0

x=-3/2 x=1

x= 3/2 x= -1

x= -3/2 x= -1

x= 3/2 x= 1

19.

$2m^2=-2m+12$
Solve using the quadratic formula.

$x=2,-3$

$x=3,-2$

$x=1\pm\sqrt{13}$

No Solution

20.

Solve using the quadratic formula...

9x² = 4 + 7x

No solution

21.

Solve using the quadratic formula:

4x²+ 4x + 1 = 0

x = -½

x = -2

x = 0

x = ½

22.

What is the "c" value in the equation..

4x^2=18

-18

23.

Identify the 'b' value: y = 16x² -8x -24

-8

-24

24.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

True

False

25.

Identify the 'a' value: y = 16x² -8x -24

-8

-24

26.

What is this formula?

This is the standard formula.

This is the quadratic formula.

This is the square root formula.

This is the Pythagorean formula

27.

Use the quadratic formula to solve 2x² + 2x - 12.

-2, 3

2, 3

2, -3

-2, -3

28.

Solve 2x² + 7x - 15 = 0

-3/2 or 5

No Solution

-5 or 3/2

0.7 or 5

29.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

-10 & -4

-4 & 10

-8 & 4

8 & -4

30.

On a scale of 1 - 4, how well do you understand the material.

1 - I am Lost

2 - I need some help

3 - I understand most of the material

4 - I am an Expert

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Solving by factoring and Quadratic Formula

Total questions: 30

Worksheet time: 2hrs 34mins

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