Free Printable Unit 4 Review

1.

Find the value of "c" that completes the square.

x_{ }^2+8x+c

a)

-4

b)

4

c)

8

d)

16

2.

Find the value of "c" that completes the square.

x^2+28x+c

a)

28

b)

14

c)

196

d)

56

3.

Find the value of "c" that completes the square.

t^2+7t+c

a)

$\frac{7}{2}$

b)

3.5

c)

$\frac{49}{4}$

d)

$\frac{49}{2}$

4.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

p^2+14p+c

a)

$49;\ \left(p+7\right)^2$

b)

$7;\ \left(p+7\right)^2$

c)

$49;\ \left(p+14\right)^2$

d)

$7;\ \left(p+49\right)^2$

5.

a)

4

b)

16

c)

36

d)

64

6.

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)

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

7.

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)

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

8.

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 4 units up to create the graph of g.

d)

The graph of f is shifted 4 units to the left to create the graph of g.

9.

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

10.

How did we transform from f(x) =x²tog(x) = -3x²

a)

reflection in x-axis and vertical shift down

b)

reflection x-axis and vertical stretch

c)

horizontal stretch

d)

reflection x-axis and vertical compression

11.

Match the description to its equation:
moves down 3

a)

A

b)

B

c)

C

d)

D

12.

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

a)

left 5

b)

right 5

c)

up 5

d)

down 5

13.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

14.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

15.

What transformations have occurred?

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

16.

x²-6x+5=0

a)

x = 1 & x = 5

b)

x = -1 & x = -5

c)

x = -1 & x = 5

d)

No solution

17.

4x²-3x-18=x²

a)

x = 3 & x = 2

b)

x = -3 & x = -2

c)

x = -3 & x = 2

d)

x = 3 & x = -2

18.

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

19.

When using the Quadratic Formula method, what are a, b, and c for the equation: 9x²-x= 0?

a)

a=9, b = -1, c =0

b)

a=1, b = 0, c =0

c)

a=9, b = 0, c =0

d)

a=9, b = 1, c =0

20.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

21.

Name "c" for the equation 4x² - 5x + 7 = 10

(Hint: Make sure it is in standard form first --> $ax^2+bx+c=0$ )

a)

7

b)

17

c)

-5

d)

-3

22.

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

Unit 4 Review

Total questions: 22

Worksheet time: 1hrs 26mins

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