Free Printable Quadratics Test Review

1.

Which method of solving quadratics would you use to solve the following:

$12x^2-7\ =41$

a)

Factoring when a = 1

b)

Completing the Square

c)

Factoring when a > 1

d)

Square Roots

2.

Solve

3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

3.

Solve a² + 10a - 24 = 0

a)

a = {2, -12}

b)

a = {4, 6}

c)

a = {-12, 2}

d)

a = {-6, -4}

4.

Solve (4x + 3)(x - 6) = 0

a)

x = {-3/4, 6}

b)

x = {-3, 6}

c)

x = {3/4, -6}

d)

x = -3/4, -6}

5.

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

a)

(x + 4)² = 14

b)

x² + 8x - 14 = 0

c)

(x + 4)² = 30

d)

x² + 8x + 4 = 18

6.

What value of "c" would create a

perfect square trinomial?

x² + 10x + _____ = 17

a)

c = 20

b)

c = 100

c)

c = 25

d)

c = 10

7.

Why would the square root method be best to solve this equation?

5b² - 4 = 41

a)

There is no "b" term. (x term)

b)

The is no "a" (x² term).

c)

There is no "c" term.

d)

We need to find two solutions.

8.

Which words mean the same thing as "roots?"

(Choose more than one)

a)

zeros

b)

x intercepts

c)

solutions

d)

axis of symmetry

9.

Which method would be most efficient when solving this problem?

a² + 2a - 24 = 0

a)

Square Root

b)

Factoring

10.

Solve:
$5b^2-4\ =\ 41$

a)

$b=\pm9$

b)

$b\ =\ \pm3$

c)

$b\ =\ \pm8$

d)

No Solution

11.

Which method is MOST EFFICIENT to solve:
8x² - 6 = 0

a)

Square Root Method

b)

Greatest Common Factor (GCF)

c)

Complete the Square

d)

Quadratic Formula

12.

Which method is MOST EFFICIENT to solve:
5x² -3x - 7 = 0

a)

Square Root Method

b)

Greatest Common Factor (GCF)

c)

Complete the Square

d)

Quadratic Formula

13.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

14.

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

a)

b)

c)

d)

15.

ax²+bx+c=0 is the standard form of a quadratic equation.

a)

True

b)

False

16.

How many solutions will this quadratic $x^2-5x+7=0$ ?

a)

2 real solutions

b)

No real solutions

c)

1 solution

d)

3 solutions

17.

What are the simplified solutions of the quadratic equation $x^2=4x-2$ ? Select your best answers. Use quadratic formula
This is a multi-select problem.

a)

$2+\sqrt{2}$

b)

$2-\sqrt{8}$

c)

$2+\sqrt{8}$

d)

$2-\sqrt{2}$

18.

Which method would you want to use to solve the equation below?

3x^2+5x+4

a)

Quadratic Formula

b)

Completing the Square

19.

To solve the equation by the Quadratic Formula, what would be your first step?

2x^2+8x=5

a)

Subtract 5 from both sides, set it equal to 0

b)

Divide the 8 by 2

c)

Divide the 8 by 2 and square it

d)

Multipiy 2 and 5

20.

Solve by factoring.

Select all answers that apply:

y² + 6y = 7

a)

-6

b)

7

c)

-7

d)

-1

e)

1

21.

What are the x-intercept(s) of this graph?

a)

-1 and -3

b)

-1 and 3

c)

1 and 3

d)

1 and -3

22.

What are the coordinates of the y-intercept?

a)

(-3, 0)

b)

(0, -3)

c)

(2, 1)

d)

y=-3

23.

What is the significance of the ordered pair (2, -4) to the graph?

a)

it is the vertex

b)

it is the y-intercept

c)

it is the axis of symmetry

d)

it is the x-intercept

24.

What is the equation for axis of symmetry?

a)

y = 3

b)

x = 3

c)

x = 5

d)

x = 1

25.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

Quadratics Test Review

Total questions: 25

Worksheet time: 2hrs 2mins

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