# Chapter 3 & 5 Study Guide

15 Questions  Settings  MAT 150

Questions and Answers
• 1.
Give the coordinates for the vertex of the quadratic function .
• A.

(1, -27)

• B.

(-1, -15)

• C.

(3, -15)

• D.

(1, 27)

• 2.
Give the coordinates of the vertex for the quadratic function
• A.

(7, -2)

• B.

(-7, 2)

• C.

(-7, -2)

• D.

(7, 2)

• 3.
Solve for x using factoring:
• A.

5 and 4

• B.

-2 and -3

• C.

-4 and -1

• D.

4 and 1

• 4.
Solve for x using the square root method:
• A.

9 and 1

• B.

9

• C.

9 and -1

• D.

629

• 5.
Solve using the quadratic formula:  Answer Choices: A.  B.  C.  D.
• A.

A

• B.

B

• C.

C

• D.

D

• 6.
The profit from producing and selling x units of product is given by the function  dollars.  What is the maximum profit that can be made producing the units of product?
• A.

\$2050

• B.

\$4100

• C.

\$120,000

• D.

\$1,140,750

• 7.
If a ball is dropped from the top of a 400-ft-high building, its height S in feet is given by , where t is in seconds.  In how many seconds will it take the ball to hit the ground?
• A.

400 seconds

• B.

25 seconds

• C.

5 seconds

• D.

5 and -5 seconds

• 8.
Using the table on page 235 #50 in your textbook, find a quadratic model that fits the data in the table with x = 0 in 2000.
• A.

Y = -0.005x^2 + 0.754x + 8.512

• B.

Y = 3.12x - 2.54

• C.

Y = -0.004x^2 - 0.754x + 8.512

• D.

Y = -16x^2 + 3.243x + 15.7

• 9.
Simplify
• A.

4x^3/y

• B.

4x/y

• C.

X^3y/4

• D.

4y/x^3

• 10.
Consider the graph of the function , how will  affect the graph?
• A.

Shift 3 left and 2 down

• B.

Shift 3 right and 2 up

• C.

Shift 3 up and 2 right

• D.

Shift 3 down and 2 right

• 11.
Rewrite  as a single logarithm. Answer Choices: A.  B.  C.  D.
• A.

A

• B.

B

• C.

C

• D.

D

• 12.
Solve for x:
• A.

3

• B.

1.442

• C.

0.815

• D.

2

• 13.
Solve for x:
• A.

20

• B.

100

• C.

1000

• D.

26.853

• 14.
Solve for x:
• A.

1/3

• B.

3

• C.

1/9

• D.

27

• 15.
Life Span  Based on data from 1920 and projected to 2020, the expected life span of people in the United States can be described by the function , where x is the number of years from 1900 to the person's birth year.  Estimate the life span for someone born in 1995.
• A.

120 years

• B.

76 years

• C.

78 years

• D.

80 years

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