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Solving Quadratic Equations in Intercept Form

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

Solve for the values of x:

(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

2.

What are the zeros for this graph?

a)

x={3,1}x=\left\{-3,1\right\}

b)

x={3,0}x=\left\{-3,0\right\}

c)

x={1,8}x=\left\{-1,-8\right\}

d)

x={6,3}x=\left\{-6,-3\right\}

3.

Which TWO methods could be used to solve this equation?

x2 + 2x = -9

a)

Square Root Method

b)

Factor Method

c)

Complete the Square

d)

Quadratic Formula

4.

Which TWO methods could be used to solve this equation? 2x2 + 4x - 6 = 0

a)

Square Root Method

b)

Factor Method

c)

Quadratic Formula

d)

Completing the Square

5.

Solve the quadratic equation given in intercept form: y=(x2)(x+5)y = (x - 2)(x + 5) .

a)

x=2,x=5x = 2, x = -5

b)

x=2,x=5x = -2, x = 5

c)

x=2,x=5x = 2, x = 5

d)

x=2,x=5x = -2, x = -5

6.

Rewrite x2 − 6x + 8 = 0 in intercept form.

a)

(x + 4)(x + 2) = 0

b)

(x − 4)(x − 2) = 0

c)

(x − 8)(x − 1) = 0

d)

(x + 8)(x + 1) = 0

7.

How many zeros does this parabola have? 

a)

3

b)

2

c)

0

d)

1

8.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

9.

Find the zeros of the equation: 
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

10.

Convert x2-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

(x+3)(x+3); x=-3

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

11.

What are the solutions to this equation? (x-3)(x+2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

12.

What property would you use to solve the following?
(x-3)(x+2)=0

a)

Commutative Property

b)

Associative Property

c)

Zero Product Property

d)

Inverse Property

13.

What type of equations always include an x2?

a)

Quadratic

b)

Linear

c)

Exponential

d)

Quartic

14.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name