Quiz about Algebra Unit 4 study guide

Question 1

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

Accepted Answer

Length = 12, Width = 6

Answer

Length = 6, Width = 12

Answer

Length = 18, Width = 4

Answer

Length = 4, Width = 6

Question 2

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

Accepted Answer

2 meters

Answer

5 meters

Answer

40 meters

Answer

20 meters

Question 3

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

Accepted Answer

5 seconds

Answer

1 second

Answer

2 seconds

Answer

3 seconds

Question 4

Which answer choice describes y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 5

Which of the following equations matches vertex form of a quadratic?

Accepted Answer

y = a(x - h)² + k

Answer

ax + by = c

Answer

y = ax² + bx + c

Answer

y = mx + b

Question 6

$$y=-3(x+5)^2-4$$
Convert the equation from vertex form to standard form.

Accepted Answer

y = -3x²- 30x - 79

Answer

y = 9x²- 15x + 21

Answer

y = -3x²- 75x - 4

Answer

y = 9x²+ 90x + 221

Question 7

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

Accepted Answer

49

Answer

- 196

Answer

- 49

Answer

28

Question 8

Factor: x² + 24x + 144

Accepted Answer

(x + 12)2

Answer

(x + 9)2

Answer

(x + 15)2

Answer

(x + 13)2

Question 9

The x-intercepts of a quadratic equation are known as the _____.

Accepted Answer

zeros

Answer

vertices

Answer

squares

Answer

formulas

Question 10

Solve for the values of x:

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

Accepted Answer

x=3 and x=-6

Answer

x=-3 and x=-6

Answer

x=-3 and x=6

Answer

x=3 and x=6

Question 11

Factor, then find the zeros of the function:

x²-x-12 = 0

Accepted Answer

-3 and 4

Answer

3 and 4

Answer

-4 and -3

Answer

-3

Question 12

Find the y-intercept y = x² - 6x + 5

Accepted Answer

(0, 5)

Answer

(0, 8)

Answer

(0, - 6)

Answer

(5, 0)

Question 13

What is the name of this form:
y = ax² + bx + c

Accepted Answer

standard form

Answer

vertex form

Answer

factored form

Answer

zero form

Question 14

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

Accepted Answer

Option B is correct

Answer

No Real Solution

Answer

C.

Answer

D.

Question 15

Factor:
x² - 30x + 225

Accepted Answer

(x - 15)2

Answer

(x + 15)2

Answer

(x + 25)2

Answer

(x - 25)2

Question 16

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

Accepted Answer

length = 16 yd, width = 21 yd

Answer

length = 26 yd, width = 21 yd

Answer

length = 21 yd, width = 26 yd

Answer

length = 21 yd, width = 16 yd

Question 17

The product of two consecutive negative even integers is 24.  Find the integers.

Accepted Answer

-6, -4

Answer

6, 8

Answer

6, 4

Answer

-6, -8

Question 18

Given h(x) = -9x +5, find h(8).

Accepted Answer

h(8) = -67

Answer

h(8) = -360

Question 19

If h(a) = 3 - 2x², find h(-3).

Accepted Answer

-15

Answer

33

Answer

21

Answer

39

Question 20

Does the graph of this equation widen or narrow from the parent function?
y= 5(x - 5)² + 3

Accepted Answer

narrow

Answer

widen

Answer

neither

Question 21

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

Accepted Answer

down

Answer

up

Question 22

Does the graph of this equation open up or down?
f(x) = -(x + 3)² - 5

Accepted Answer

down

Answer

up

Question 23

If red represents y = x², which equation represents blue?

Accepted Answer

y = -x2

Answer

y = 2x2

Answer

y = -2x2

Answer

y = (x - 1)²

Question 24

How did we transform from f(x) =x²

to

g(x) = -3x²

Accepted Answer

reflection in x-axis and vertical stretch

Answer

reflection in x-axis and vertical shift down

Answer

horizontal stretch

Answer

reflection in x-axis and vertical compression

Question 25

Which transformation transforms the graph of

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

Accepted Answer

shift 4 units to the left

Answer

shift 4 units up

Answer

shift 4 units down

Answer

shift 4 units to the right

Question 26

How did we transform from y=x²to

y = -3x²

Accepted Answer

reflection x-axis and narrower

Answer

reflection in x-axis and shifts down

Answer

wider

Answer

reflection x-axis and wider

Question 27

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

Accepted Answer

shift right 2

Accepted Answer

shift up 4

Answer

shift left 2

Answer

shift down 4

Question 28

How many roots does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 29

What is the axis of symmetry for this graph?

Accepted Answer

x=2

Answer

y=2

Answer

x=0

Answer

y=0

Question 30

What is the vertex of the function y=(x+2)²-7?

Accepted Answer

(-2, -7)

Answer

(-2, 7)

Answer

(2, 7)

Answer

(2, -7)

Question 31

What is the y-intercept of the function y=-2x²+8x-6?

Accepted Answer

(0, -6)

Answer

(0, 8)

Answer

(0, 2)

Answer

(0, 0)

Question 32

Write the following quadratic expression in completed square form...

x² + 4x + 10

Accepted Answer

(x + 2)² + 6

Answer

(x + 4)² + 6

Answer

(x + 4)² - 6

Answer

(x + 2)² - 6

Algebra Unit 4 study guide

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