Free Printable NC Math 2 Unit 2 Review

1.

Check all methods that you could use to SOLVE the following equation.
$x^2-7x-18=0$

a)

Factoring (Diamond Method)

b)

Factoring (Grouping)

c)

Quadratic Formula

d)

Finding square roots

2.

Check all methods that you could use to SOLVE the following equation.
$2x^2-5x-12=0$

a)

Factoring (Slide and Divide Method)

b)

Factoring (Grouping)

c)

Quadratic Formula

d)

Finding square roots

3.

Check all methods that you could use to SOLVE the following equation.
$x^3-7x+2x-14=0$

a)

Factoring (Diamond Method)

b)

Factoring (Grouping)

c)

Quadratic Formula

d)

Finding square roots

4.

Solve by factoring:
$x^2-36=0$

a)

$x=\pm6$

b)

$x=\pm36$

c)

$x=\pm18$

d)

No real solutions

5.

Solve by factoring:
$x^2+10x+24=0$

a)

$x=6\ or\ x=4$

b)

$x=\pm\sqrt{14}$

c)

$x=-6\ or\ x=-4$

d)

No real solutions

6.

Solve by factoring:
$x^2+2x-15=0$

a)

$x=3\ or\ x=-5$

b)

$x=\pm\sqrt{13}$

c)

$x=-3\ or\ x=5$

d)

No real solutions

7.

Solve by factoring:
$x^2-10x+16=0$

a)

$x=-2\ or\ x=-8$

b)

$x=\pm\sqrt{6}$

c)

$x=2\ or\ x=8$

d)

No real solutions

8.

Solve using the Quadratic Formula:
$2x^2+6x-8=0$

a)

$x=2\ or\ x=-8$

b)

$x=-1\ or\ x=4$

c)

$x=1\ or\ x=-4$

d)

No real solutions

9.

Solve using the Quadratic Formula:
$x^2-7x+10=0$

a)

$x=2\ or\ x=5$

b)

$x=-2\ or\ x=-5$

c)

$x=4\ or\ x=10$

d)

No real solutions

10.

When does a quadratic equation have no real solutions?

a)

When you cannot factor it

b)

When it begins with a negative leading coefficient

c)

When there is a square root of a negative number

d)

When it only has two terms

11.

Check all of the following situations where you could use the Quadratic Formula to solve an equation.

a)

When its highest exponent (degree) is 1

b)

When its highest exponent (degree) is 2

c)

When its highest exponent (degree) is 3

d)

When you cannot factor the quadratic

12.

What should you do first if solving this equation using the FACTORING method?

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.

13.

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.

14.

What are some other names for the SOLUTIONS of a quadratic equation?

a)

y-intercepts

b)

roots

c)

x-intercepts

d)

zeros

15.

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation 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

16.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

17.

What are the roots for the quadratic function:

x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

18.

What is the first step in solving the equation below?

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

a)

Plug in zero for x

b)

Solve for x

c)

Draw an area model

d)

Set each binomial factor equal to zero

19.

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

a)

True

b)

False

20.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

21.

What is the range of this function?

a)

(∞,-4]

b)

[-1, 3]

c)

All Real Numbers

d)

[-4, ∞)

22.

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

23.

How did we transform from f(x) =x²

to

g(x) = -3x²

a)

reflection in x-axis and vertical shift down

b)

reflection in x-axis and vertical stretch

c)

horizontal stretch

d)

reflection in x-axis and vertical compression

24.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

25.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

Horz shift right 2

b)

Horz shift left 2

c)

Vert shift up 4

d)

Vert shift down 4

26.

Write the equation of this transformation: reflection across x-axis, left 3, up 15

a)

y= -(x+3)²+15

b)

y= -(x+3)² - 15

c)

y= (x+3)²+15

d)

y= -(x+15)²+3

27.

How did we transform from the parent function?

y = -1/5x² + 7 (Choose ALL that apply.)

a)

reflection over the x-axis

b)

vertical shift up 7

c)

vertical stretch of 1/5

d)

vertical shift down 7

e)

vertical compression of 1/5

28.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

29.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

30.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

NC Math 2 Unit 2 Review

Total questions: 30

Worksheet time: 31mins

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