Free Printable Module 8 Review Test

1.

What is the solution set to the equation 3x^2 + 14x - 5 = 0?

a)

-5, 1/3

b)

5, -1/3

c)

1, -5/3

d)

-1, 5/3

2.

Which equation has roots of -3 and 4?

a)

(x - 3)(x + 4) = 0

b)

(x + 3)(x + 4) = 0

c)

(x + 3)(x - 4) = 0

d)

(x - 3)(x - 4) = 0

3.

What is the solution set to the equation 9x^2 - 24x + 16 = 0?

a)

4, 3

b)

24, 18

c)

3

d)

4/3

4.

If x^2 - 8x - 9 = 0 is solved by completing the square, which equation is MOST likely to be the first step in the process?

a)

x^2 = 8x + 9

b)

x^2 - 8x = 9

c)

(x + 1)(x - 9) = 0

d)

x^2 - 8x - 9 + 64 = 64

5.

What is the solution set for (x−5)^2−9=0?

a)

{-5, 9}

b)

{-2, -8}

c)

{2, 8}

d)

{-8, 8}

6.

What are the x-intercepts of the equation y = x^2 + x - 12?

a)

A. -12

b)

B. 6 and -2

c)

C. 4 and -3

d)

D. -4 and 3

7.

Which quadratic equation has a graph with a minimum at (-3, -4)?

a)

A. y = x^2 + 6x + 5

b)

B. y = x^2 + 6x - 5

c)

C. y = x^2 + 16

d)

D. y = x^2 - 16

8.

Which of the following is equivalent to finding the "roots" of a function?

a)

A. origin

b)

B. slope

c)

C. y-intercepts

d)

D. x-intercepts

9.

Given the following quadratic in standard form of ( y = 3x^2 - 6x + 5 ), select the equivalent equation in vertex form.

a)

y = 3(x - 1)^2 - 2

b)

y = 3(x + 1)^2 - 2

c)

y = 3(x - 1)^2 + 2

d)

y = 3(x + 1)^2 + 2

10.

Complete the square for the function ( y = x^2 + 4x - 12 ). What is the minimum point on a graph of this function?

a)

(0, -12)

b)

(2, 0)

c)

(-6, 0)

d)

(-2, -16)

11.

To solve the equation x^2 + 4x = 32 by completing the square, what number should Marisol add to both sides of the equation?

a)

1/2

b)

2

c)

4

d)

32

12.

Given ( y = x^2 + 6x + 5 ), find the discriminant.

a)

5

b)

6

c)

16

d)

30

13.

Janiyah was using the quadratic formula to solve a problem. During the process she found that the discriminant was 0. Therefore Janiyah should expect there to be...

a)

1 Real solution

b)

2 Real solutions

c)

3 Real Solutions

d)

No Real Solutions

14.

Which quadratic equation is written in standard form?

a)

x^2 - 9 = x

b)

3x^2 + 5x + 1 = 0

c)

32 = x^2

d)

2x - x^2 = 10

15.

Solve 2t^2 + 3 = 35

a)

±2

b)

±4

c)

±8

d)

±16

16.

Which quadratic function has a vertex of (-3,5)?

a)

y = -3x^2 + 5

b)

y = 2x^2 + 12x + 14

c)

y = 3(x - 4)(x + 7)

d)

y = 1/2(x + 3)^2 + 5

17.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

18.

Write a quadratic equation in standard form with the given roots: 1, 7

a)

x² - 6x - 7

b)

x² + 8x + 7

c)

x² - 8x + 7

d)

x² + 6x - 7

19.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

20.

What do you need to add to complete the square?x² + 6x = 20

a)

9

b)

100

c)

36

d)

12

21.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

22.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

23.

Solve the following by ISOLATION

$4\left(x-5\right)^2=12$

a)

$\left(4x+20\right)^2=12$

b)

$x=5\pm\sqrt[]{3}$

c)

$x=-5\pm\sqrt[]{3}$

d)

$x=5\pm\frac{1}{2}\sqrt[]{3}$

24.

What are the steps to solving this by completing the square?

a² + 10a + 21 = 0

a)

Subtract 21 from both sides of the equation

b)

Add 25 to both sides of the equation

c)

Rewrite the left hand side as a (binomial)²

d)

Take the square root of both sides of the equation

e)

Subtract 5 from both sides of the equation

1)

2)

3)

4)

5)

25.

Complete the quadratic formula

Black question mark (a)

Blue question mark (b)

Red question mark (c)

Choose from the below words

$-b$

$b^2-4ac$

$2a$

$b$

$2b-4ac$

$b^2-4c$

$2$

$a^2$

$b^2-ac$

$2b$

26.

How many solutions are there?

a)

0

b)

1

c)

2

d)

3

27.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

*remember right side should =0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

28.

Identify the values of A, B, and C

5x²+ x - 18 = - 9x + 3x²

a)

A=2, B=10, C=-18

b)

A=5, B=1, C=-18

c)

A=8, B=-8, C=-18

d)

A=2, B=9, C=-18

29.

Use quadratic formula to solve: $8x^2-4x-18=0$

a)

$\left\{\frac{1\pm\sqrt{37}}{4}\right\}$

b)

$\left\{8,4,18\right\}$

c)

$\left\{\frac{38}{4},-\frac{38}{4}\right\}$

d)

$i\sqrt{37}$

30.

What are the solutions to x² - 3x = 5?

a)

b)

c)

d)

31.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

32.

Which is the correct set-up of the discriminant for:
$3x^2-19x=-20$

a)

$\left(-19\right)^2-4\left(3\right)\left(20\right)$

b)

$\left(-19\right)^2-4\left(3\right)\left(-20\right)$

c)

$\left(-20\right)^2-4\left(3\right)\left(-19\right)$

d)

$-\left(-19\right)^2-4\left(3\right)\left(-20\right)$

33.

The first step in solving by using the quadratic formula, is to set one side of the equation equal to zero.

Which equation shows the first step of solving:
$-2x^2=7x-4$

a)

$-2x^2-7x+4=0$

b)

$-2x^2+7x-4=0$

c)

$-2x^2-7x-4=0$

d)

$-2x^2+7x+4=0$

34.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

35.

Evaluate b² - 4ac if a=4 and b=-3 and c=2

a)

x = -35

b)

x = 35

c)

x = 23

d)

x = -23

Module 8 Review Test

Total questions: 35

Worksheet time: 58mins

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