Free Printable Unit 6 Quadratics Review

1.

The x-value when the graph crosses the x-axis

a)

x-intercept

b)

maximum

c)

interval of increase

d)

interval of decrease

2.

$f\left(x\right)=ax^2+bx+c$

a)

quadratic function

b)

vertex

c)

interval of increase

d)

interval of decrease

3.

What are the roots of the following graph:

a)

x= 3, 4

b)

x = -4, 3

c)

x=-3, 4

d)

x = -3, -4

4.

Factor x² + 12x + 20

a)

(x + 2)(x + 10)

b)

(x + 7)(x + 5)

c)

(x + 6)(x + 6)

5.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

6.

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

7.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

8.

Solve by completing the square.
x² − 10x - 11= 0

a)

x = −1 and 11

b)

x = 1 and −11

c)

x = −10 and 11

d)

x = −5 and 25

9.

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

a)

True

b)

False

10.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

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

11.

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

a)

Get factored form

b)

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

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

12.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

13.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

14.

Solve by the Quadratic Formula:

$9u^2-11u+7=0$

a)

$\frac{-11\pm\sqrt{131}}{18}$

b)

$\frac{11\pm\sqrt{131}}{18}$

c)

$\frac{11\pm\sqrt{131}}{-18}$

d)

$\frac{11\pm i\sqrt{373}}{18}$

15.

If b²-4ac is positive, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

16.

If b²-4ac is negative, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

17.

If b²-4ac is 0, the quadratic equation has:

a)

Two real solutions that are different

b)

Two imaginary solutions that are different

c)

One real solution

d)

One imaginary solution

18.

What is the discriminant of the quadratic formula?

a)

b²-4a

b)

b²-4ac

c)

b-4ac

d)

b²-ac

19.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

20.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

21.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

22.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

23.

Identify a, b, and c in: x²−6x+14

a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

24.

Find the solution(s):
y = x² - 4x + 6
y = x + 2

a)

(1, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

25.

Find the solution(s).

a)

(-1,7) and (0,5)

b)

(-4,2) and (-5,8)

c)

(-2,6) and (10,15)

d)

(-2,4) and (6,12)

26.

Find the solution(s).

a)

(3,18) and (-4, 15)

b)

(5,2) and (5,-9)

c)

(-4,-4)

d)

(-4,2)

27.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

28.

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x²- 4

a)

Yes, because it works in one equation.

b)

Yes, because it works in the both equations.

c)

No, because it works in neither equation.

d)

No, because it works in only one equation.

29.

Which of the following graphs correctly represents:

y=x²

y=-2x+1

a)

b)

c)

d)

30.

Determine the solution to the given linear-quadratic function.

a)

(0, 0)

b)

(3, 0)

c)

(2, -3)

d)

(-3, 2)

31.

Two equations were graphed on the set of axes below. Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(2,-3)

d)

(8,9)

32.

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

a)

True

b)

False

c)

Cannot be determined

d)

Nobody cares

33.

What are the solutions to this quadratic/ linear system?

a)

(-2, 0) and (3,0)

b)

No Solutions

c)

-6 and -10

d)

(1,-6)

34.

Solve by completing the square.
$x^2-8x-20=0$

a)

$x=\left\{-2,\ 10\right\}$

b)

$x=\left\{-10,\ 2\right\}$

c)

$x=\left\{-20,\ -8\right\}$

d)

$x=\left\{8,\ 20\right\}$

35.

Solve by completing the square.
$x^2-12x+20=0$

a)

$x=\left\{2,\ 10\right\}$

b)

$x=\left\{-10,\ -2\right\}$

c)

$x=\left\{-12,\ 20\right\}$

d)

$x=\left\{12,\ 20\right\}$

36.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

Unit 6 Quadratics Review

Total questions: 36

Worksheet time: 9hrs 0mins

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