Chapter 1 Test Review

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Jeopardy
Order of
Operations
Writing
Equations &
Inequalities
Problem
Solving
Problem
Solving 2
Functions
100
100
100
100
100
200
200
200
200
200
300
300
300
300
300
400
400
400
400
400
500
500
500
500
500
100
6  9 – 33 ÷11
200
3
(4 +
2
6)
÷ 0.5
300
5[(4 + 9) –
2
3]
÷2
400
3 [ 7(14 –
3
2)
+ 5] –18
500
1.75 + 2[17 – (5 –
2
3) ]
100
At a lake, there are 2 boat
rental shops. Shop A charges
$210 for a 4-hour rental, and
shop B charges $228 for a 6hour rental. Which shop
charges more per hour? How
much more expensive is this
shop?
200
You are setting up a children’s painting
class. Poster board paints cost $3.80 for
each child, and a package of 100 sheets of
poster board costs $66.50. Assuming that
you only need one package of poster
board, write an algebraic expression for the
total cost of supplies. Find the total cost if
18 students sign up for the class.
300
You are saving money to buy a $200 video
game system. You earn $20 a week for
doing chores around the house. You get
$35 from a relative on your birthday. How
many whole weeks will it take for you to
have enough money to buy the system?
You are charged 7% sales tax for the
system. Will it take any longer to buy the
system? Explain your reasoning.
400
You and your friend collect football
cards. You tell your friend, “I have
three times the number of football
cards as you have.” Your friend
replies “You only have 80 more
football cards than I have.” How
many football cards do each of
you have?
500
You are creating a collage using two different
textured papers. One paper costs $.15 per
sheet and the other costs $.08 per sheet. You
need a total of 12 sheets of paper without
spending over $1.50. Let t be the number of
sheets of the less expensive paper.
a. Write an inequality that describes the
situation. Your inequality should involve
only one variable, t.
b. Give two different ways you can buy the
paper.
100
Your stamp collection consists of 145 stamps.
Each stamp has either a cancellation mark or
no cancellation mark. There are 93 more
stamps with cancellation marks than stamps
without cancellation marks. Let x be the
number of stamps with cancellation marks.
Which equation correctly models this situation?
a. x + 93 = 145
b. x + (x + 93) = 145
c. x + (x - 93) = 145
200
Write an equation that you can use to solve
the problem. You do not need to solve the
problem.
You are putting tile on part of the walls in your
kitchen. You are using a combination of plain
and decorative tiles. You need to use a total of
500 tiles and you want to use three times as
many plain tiles as decorative tiles. How many of
each kind of tile will you need?
300
Write an equation that you can use to
solve the problem. You do not need to
solve the problem.
Your soccer team has raised $400 for
cleats and shin guards. It will cost
$41.50 for each of the 15 players to
have a pair of cleats and shin guards.
How much more money will each player
have to pay to cover the cost?
400
You are responsible for buying the frozen
lasagna for an upcoming birthday party.
Each package of lasagna costs $7.99 and
serves 8. You need to buy enough
packages so that each person can have
two servings. There will be 17 people at
the picnic. How many packages do you
need? What is the total cost for the
lasagna?
500
You and your friend are painting a 150-foot
long fence. You start at opposite ends at the
same time and paint towards each other.
You paint the fence at a rate of 1.75 feet per
minute and your friend paints at a rate of
1.25 feet per minute.
a. How long will it take you to complete the
fence?
b. How far from your beginning point will each of
you be?
100
You installed a bookshelf on the wall to
organize some of your books. The books that
you absolutely want on the shelf weigh a total
6 ¾ pounds. The bookshelf can handle no
more than 9 pounds. You plan on filling the
rest of the shelf with your paperbacks that
each weigh about ⅛ pound. Assuming you
won’t run out of room, how many paperback
books can you add to the shelf?
200
You are responsible for buying supplies for an
upcoming camping trip. You can buy packages
of stew that just need water added and then are
heated. Each package costs $4.95 and contains
enough stew for 2 people. You need to buy
enough packages so that you can have stew for
3 days of the trip. There will be 8 people on the
trip. How many packages do you need? What is
the total cost?
300
You plan to put up wallpaper
border in your bedroom that
has a width of 8 feet. The area
of your bedroom is 96 square
feet. Is 36 feet of wallpaper
border enough to wallpaper
the bedroom? Explain.
400
The table shows the number of grams of protein and the
number of calories from protein in four different foods.
Number of grams of protein, p
Number of calories from protein, C
6
24
8
32
12
48
15
60
a. Use the table to write a rule for the foods’ number of
calories from protein as a function of their number of
grams of grams of protein.
b. Another food has 17 grams of protein. Predict the
number of calories from protein.
500
A photographer charges $9.95 for a photo session
plus $22 for each pose.
a. Write an equation for the total cost C (in
dollars) of a photo session with p poses.
b. The photographer offers 8 poses. Write an
input-output table for the total cost (in
dollars) of a photo session as a function of
the number of p poses. Explain why the
table represents a function and describe the
domain and range of the function.
c. You have $80 to spend at a photo session.
What is the greatest number of poses you
can afford?
100
A delicatessen worker has created 8 large
sandwich rings in the first 2 hours of her
shift. She plans on making sandwich rings
at the same rate for the rest of her shift.
Write a rule for the total number of
sandwich rings made as a function of the
number of hours left in the deli worker’s
shift. How many sandwich rings will the
deli worker make if she has 6 hours left in
her shift?
200
The table shows men’s shoe sizes in the United
States and Europe. Write a rule for the
European size as a function of the United States’
size. Then use your function to predict the
European size of a U.S. size 11 shoe.
U.S. size
3.5
European size 35
4
4.5
35.5 36
5
5.5
36.5 37
6
37.5
300
A car owner records the value of a car every year since its
purchase. The graph shows the value v (in dollars) of the
car as a function of t, the number of years since its
purchase. What happens to the value of the car as t
increases? Is $4240 a
reasonable estimate for the
value of the car 6 year After
its purchase? Explain.
400
Consider the table for a function.
Input, x
Output, y
22
3
21
4
n
4
1
6
2
5
For what value of n would this table
represent x as a function of y?
3
10
500
The function y = x2 + 1 has the following table associated
with it.
Input, x
–2
–1
0
1
2
3
Output, y
5
2
1
2
5
10
Suppose the function is reversed, making y the input and
x the output. You would have to remove some of the
values of y from the table in order to have x be a function
of y. What would be the minimum number of y-values
you would have to remove from the table in order to
have x be a function of y? What y-values would you have
to remove from the table?
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