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Pre-Algebra Final Exam Review

Total questions: 80

Worksheet time: 8hrs 26mins

Name
Class
Date
1.

You give 1/3 of a pan of brownies to Ms. Long and 1/6 of a pan of brownies to Valery.  How much of the pan of brownies did you give away?

a)

2/6

b)

1/6

c)

1/2

d)

1/3

2.

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

a)

$3.50

b)

$7.50

c)

$9.00

d)

$16.50

3.

You go out for a long walk.  You walk 3/4 mile and then sit down to take a rest.  Then you walk 3/8 of a mile.  How far did you walk altogether?

a)

1 1/8

b)

3/8

c)

6/8

d)

1 1/4

4.

A jug of orange juice contains 40.75 fluid ounces. It is shared equally among 5 people. How many ounces of orange juice does each person receive?

a)

81.45 fl. oz.

b)

203.75 fl. oz.

c)

20.75 fl. oz.

d)

8.15 fl. oz.

5.
Multiply. 
a)
12 5/6
b)
77/6
c)
6/77
d)
12 6/5
6.
a)
187/48
b)
22/25
c)
44/51
d)
88/102
7.
What is the difference of these fractions in lowest terms?
a)
7/9
b)
1/5
c)
12/20
d)
1/20
8.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
9.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
10.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
11.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
12.
What is the equation y=kx for the table?
a)
y=1/3x
b)
y=3x
c)
y=5x
d)
y=1/5x
13.
A proportional relationship can be written as an equation in the form
____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
14.
What does k represent in the equation y = kx?
a)
independent variable
b)
constant of proportionality
c)
dependent variable
d)
krispy kreme
15.

__________________ describes how many units of the first type of quantity corresponds to one unit of the second type of quantity

a)

unit rate

b)

ratio

c)

proportion

d)

popcorn

16.
What does the point (2, 94) represent in this situation?
a)
Every week, they earn $94.
b)
After 94 weeks, they save $2.
c)
After 1 week, they save $47.
d)
After 2 weeks, they save $94.
17.
What does the ordered pair (20, 3000) represent?
a)
The machine folds 3,000 sheets in 20 minutes.
b)
The machine folds 20 sheets in 3,000 minutes.
c)
There are 3,000 sheets in 20 minutes.
d)
There are 20 sheets in 3,000 minutes.
18.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
19.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
20.
Perry earned $96 shoveling snow from 8 driveways.  At that rate, how much would he have made if he had shoveled only 6 driveways?
a)
$120
b)
$12
c)
$84
d)
$72
21.
Using the table above, determine which statement is correct.
a)
The table is proportional and the unit rate is 100.
b)
The table is not proportional because the unit rate is not constant.
c)
The table is not proportional because it doesn't pass through the origin.
d)
The table is proportional and the unit rate is 0.01.
22.

How many tbsp of honey is needed for 20 cups of flour?

a)

2

b)

18

c)

25

d)

16

23.
Which equation matches the graph?
a)
y = 7x
b)
y = 42x
c)
y = 6x
d)
y = 2x
24.
a)

F

b)

G

c)

H

d)

J

25.
a)

A

b)

B

c)

C

d)

D

26.
Susie got a raise.  She was making $8.75 an hour.  Now she is making $9.50.  What is the percent of change?
a)
6% Increase
b)
7% Increase
c)
8% Increase
d)
9% Increase
27.

The usual price of a TV set was $500. During the Christmas holiday, the price of a TV set marked down to $413. What was the percentage decrease in the price of a TV set?

a)

82.6%

b)

87%

c)

17.4%

d)

25%

28.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
29.
Discount is ____________ from the price.
a)
added
b)
divided
c)
subtracted
d)
multiplied
30.

If the sales tax in your city is 9.8% and an item costs $77 before tax, how much tax would you pay for that item?

a)

$7.55

b)

$7.54

c)

$7.00

d)

$7.50

31.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
32.

Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?

a)

40.50

b)

715.50

c)

6.00

d)

634.50

33.

Sam bought an $85.00 jacket for 40% off of the regular price. How much did he pay for the jacket?

a)

75

b)

51

c)

36

d)

34

34.

Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37,000 worth of items this month, what is her commission for the month?

a)

$14,800

b)

$5,180

c)

$629

d)

$6,290

35.

Duane works at Best Buy. A computer is originally priced at $850. The store marks up the price by 25%. Duane can get 30% off of the laptop. How much would it cost him to buy the laptop?

a)

$1062.50

b)

$743.75

c)

$318.75

d)

$828.75

36.

Cole went to a sporting goods store to buy a new pair of shoes. Everything in the store is 15% off and Cole also has a coupon for 20% of the sale price. Lastly, there is a tax of 5.75% in Ohio. How much would Cole pay for a pair of shoes that originally cost $150?

BE CAREFUL! :)

a)

$127.50

b)

$102

c)

$107.87

d)

$103.11

37.

A basketball jersey was originally priced at $120, but Kaileen waited to buy it until it was on sale for 25% off. If she paid 6% sales tax on the sale price, how much did she pay in total?

a)

$150.40

b)

$90

c)

$95.40

d)

$18

38.

What is a commission?

a)

An amount paid to an employee based on a percentage of the employee's sales (employee gets paid some, but not all, of what s/he earned)

b)

An amount paid to an employee per hour. (employee gets paid everything per hour)

c)

A diploma.

d)

A job.

39.

What is a discount?

a)

The amount added from the normal price of an item-another term for markdown

b)

The amount subtracted from the normal price of an item-another term for markdown

c)

The amount multiplied from the normal price of an item-another term for markdown

d)

Counting backwards.

40.

What is a fee?

a)

something you eat

b)

A part of a house.

c)

A credit card.

d)

A payment.

41.

What is interest (earned)?

a)

Money you earn/get when investing or saving money (the money increases by a percent each month)

b)

Money you spend/lose when investing or saving money (money you pay for having the account)

c)

Something you are interested in.

d)

Money.

42.

Sales tax, when you buy something, is an amount that is set by the government and______________onto the original price

a)

rate

b)

subtracted

c)

multiplied

d)

added

43.

A tip/gratuity (grah-too-it-ee) is an amount ________to an employee that is usually based on the _______of the item or work

a)

rate, percent

b)

given, price

44.
Solve for x:
-2x + 11 = 23
a)
6
b)
-6
c)
-12
d)
12
45.
What is the rule for inequalities?
a)
If you add or subtract by a negative - flip the sign.
b)
If you multiply or subtract by a negative - flip the sign.
c)
Never flip the sign, ever.
d)
If you multiply or divide by a negative - flip the sign.
46.
Solve for x:
(3x + 3)/6 = 10
a)
19
b)
-19
c)
21
d)
-21
47.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
8x + 6
d)
9 + 7x
48.
Joe's BBQ sells BBQ by the pound.  Michelle buys $8.75 worth of sides and then 6 pounds of barbeque.  If her total bill was $40.55, how much was each pound of barbeque?
a)
$5.30
b)
$3.95
c)
$8.22
d)
$5.32
49.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
50.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
51.
An elevator has a maximum capacity of 500 pounds.  If the luggage weighs 200 pounds, what is the maximum weight allowable for passengers (p).
a)
p ≤ 300
b)
p ≤ 500
c)
p ≥ 200
d)
p ≥ 500
52.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
53.
You have $137.26 in a bank account. The bank requires you to have at least $50 in your account or else you are charged a fee. Write and solve an inequality that shows the amount you can write your next check for without being charged.
a)
x < $87.26
b)
x ≥ $76.51
c)
x ≤ $87.26
d)
x ≤ $187.26
54.

The objective when solving an equation is to....


(a)  
Choose from the below words
isolate the variable.
check the solution.
guess and check.
Combine Like Terms.
55.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
56.

Solve for k:
3k + 5 = 23

(a)  

57.

Solve for x:
8x - 10 = -34

(a)  

58.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
59.
When graphing b < 6 would you use an open or closed circle?
a)
Open ○
b)
Closed •
60.
Joe has 4 less than 7 times as many toy cars as Sam. If Joe has 9 cars, which equation shows how to find the number of cars Sam has?
a)
7c/9 = 4
b)
7c + 4 = 9
c)
7c - 4 = 9
d)
7c + 9 = 4
61.
Judy is saving to buy a pair of shoes that cost $120. She has saved $30 and is going to save $25 a week. Which equation will show her how many weeks she must save?
a)
30 + 25w = 120
b)
55w = 120
c)
30w + 25w = 120
d)
120 + 30 = 25w
62.
Write an equation from the following description: Austin's Dad started a savings account for him by putting in $50 to start with. Every month then Austin is to put in $10. 
(a)  
Choose from the below words
y=10x+50
y=50x+10
y=1/50 x+10
y=1/10 x+50
63.
Which of the following situations could be descried by the equation y=120-25x?
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
64.

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?


(a)  
Choose from the below words
y=7-2x
y=2x+7
y=2-7x
y=7x+2
65.

Lawrence's father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

a)

200w + 25 < 750

b)

25w + 200 < 750

c)

200w + 25 > 750

d)

25w + 200 > 750

66.

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

a)

3h - 2 ≤ 14

b)

3h + 2 ≤ 14

c)

3h - 2 ≥ 14

d)

3h + 2 ≥ 14

67.

Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

a)

1.25x - 6.50 > 50

b)

1.25x + 6.50 > 50

c)

1.25x - 6.50 < 50

d)

1.25x + 6.50 < 50

68.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
69.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
70.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
71.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
72.
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
a)
C = 25+40h
b)
C = 65+h
c)
C = 65h
d)
C = 25h +40
73.
An architect is designing an office building with n floors that will have an FM radio antenna 16.35 meters tall on its roof. Each floor of the building will be 4.2 meters high. Which equation can be used to find the total height of the building in meters, including the FM antenna?
a)
y = 16.35n + 4.2
b)
y = 4.2n + 16.35
c)
y = 4.2n - 16.35
d)
y = 16.35n
74.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
75.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
76.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
77.
An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?
a)
C = 25+40h
b)
C = 65+h
c)
C = 65h
d)
C = 25h +40
78.
An architect is designing an office building with n floors that will have an FM radio antenna 16.35 meters tall on its roof. Each floor of the building will be 4.2 meters high. Which equation can be used to find the total height of the building in meters, including the FM antenna?
a)
y = 16.35n + 4.2
b)
y = 4.2n + 16.35
c)
y = 4.2n - 16.35
d)
y = 16.35n
79.

Simplify the expression:

9x - 4x + 3y + 12y - 6 + 9

a)

20xy+3

b)

28xy+15

c)

5x+15y+3

d)

13x+15y+15

80.

Simplify the expression:

5s - 5 + 3s - 12

a)

8s+17

b)

8s-17

c)

25s

d)

-9s

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