Name ________________________________________ Period _______ Date ______________
Math 7R – Midterm Review Sheet
Multiple Choice: Write the letter for the correct answer on the line provided. NO CALCULATOR MAY BE
USED. You must show all work on a separate sheet of scrap paper.
_____1) The price of a certain stock drops $2 per day for 8 consecutive days. Which of the following
represents how much the stock has dropped?
a) -2 + 8 = 6
b) 8  -2 = -4
_____2) Kelly had a ribbon that was 5
c) -2  8 = -16
d) 2  -8 = -16
1
1
feet long. Each piece she cut was 1 feet long. How many
3
3
pieces of ribbon did she cut?
a) 1
b) 4
c) 8
d) 12
c) 36
d) -120
_____3) Find the value of (-2)(5)(-3)(4).
a) 120
b) -36
_____4) Mrs. Longo went to Lord & Taylor for the big sale. She bought a dress for $89 and a pair of
shoes for $43. If the sales tax rate is 5.5%, what was the cost of Mrs. Longo’s entire
purchase?
a) $137.50
b) $7.26
c) $139.26
d) $124.74
_____5) Using the table below, find the equation for the constant of proportionality.
x
y
a) y = x – 4
1
-3
2
-6
3
-9
b) x = -3y
_____6) Simplify the expression given:
a) -14xw
c) y = -3x
d) x = y + 4
3x + 8w – 15 – x – 9w
b) 15 + 9w – 6x
c) -15 – w + 2x
d) w – 2x + 15
_____7) Pottery Barn Teen discounted their bean bag chairs by 30%. The original price of the bean
bag chair is $165. What is the discounted price of the bean bag?
a) $110
b) $49.50
c) $115.50
d) $214.50
_____8) Evaluate the expression given if c = -3, d = 2 and f = -4.
a) -4
b) 0
f
+ 2c – f
d
c) 8
d) 4
_____9) A new car costs $26,000. Mr. Jackson has a down payment of $10,000 but needs to borrow
the balance from the bank. He wants to pay off the loan in 24 months, but needs to figure out
how much he needs to pay off per month. Which operations should be used to solve this
problem?
a) addition and division
b) subtraction and multiplication
c) subtraction and division
d) addition and multiplication
_____10) What is the value of x in the following equation?
a) x = -18
1
8
b) x = -5
1
3 (x – 10) = -48
5
c) x = -25
d) x = -11
7
8
_____11) Morgan estimates that it will take 12 minutes to download a movie from an online
movie store. It actually took 15.5 minutes to download the movie. Which proportion
can be used to find the percent error in Morgan’s estimation?
a)
(15.5  12)
n

12
100
b)
(15.5  12)
n

15.5
100
c)
(12  15.5)
n

15.5
100
d)
(12  15.5)
n

12
100
_____12) Mrs. Carr paid $2.50 for 5 pounds of bananas. How much would Mrs. Carr pay for
8 pounds of bananas?
a) $0.50
b) $40
c) $4.00
d) $4.50
_____13) The amount of money Sarah earns each week working at Swirls and Twirls is proportional to
the number of hours she works. If Sarah works 15 hours this week and makes $135, which
equation can be used to find the amount Sarah will earn working any number of hours?
a) y = 2025x
b) y =
1
x
9
c) y = 9x
d) y =
1
x
2025
Name ________________________________________ Period _______ Date ______________
Math 7R – Midterm Review Sheet (Con’t)
Multiple Choice: Write the letter for the correct answer on the line provided. NO CALCULATOR MAY BE
USED. You must show all work on a separate sheet of scrap paper.
_____ 14) What is the value of the expression below?
7  2  7 5
      
9  3  9 6
A)
-
1
6
B) 1
1
2
C) 0
D)
1
6
_____ 15) Amy bought a dog bed for $65. If the sales tax is 7%, which equation below represents
the total price for the dog bed?
A)
0.07 x 65 = $4.55
C) 0.07 + 65 = $65.07
B) 1.07 x 65 = $69.55
D) 0.93 x 65 = $60.45
_____ 16) Which expression represents the sum of (7x – 2y) and (x + 4y)?
A) 8x + 2y
B) 8y – 6y
C) 7x + 2y
D) 7x – 2y
_____ 17) The sale price of a sofa is $400. The original price was $500. What was the percent
discount on the sofa?
A) 10%
B) 20%
C) 25%
D) 80%
C) 6
D) 24
_____ 18) What is the value of -7 + 15 + (-2) ?
A)
-24
B) -6
_____ 19) Rick bought a baseball card for x dollars. One year later the value of the card is 1.2x.
Which expression is another way to describe the change in the value of the card?
A) 0.2% increase
B) 20% increase
C) 1.2% increase
D) 120% increase
_____ 20) Stacey filled a 1½ cup measuring cup with water 3½ times. How many cups of water is this?
A) 3¼
B) 5
C) 5¼
D) 5.14
_____ 21) Which expression below is equivalent to
A)
4
(4 x  8)
6
_____ 22) A map has a scale of
B)
2
(8 x  12)
6
8
4
6
6
x+4 ?
2
( 4 x  14)
6
C)
D)
8
( x  4)
6
1
3
inch = 16 miles. The distance between two parks on the map is 2
2
4
inches. How many miles apart are the parks?
A) 40 miles
B) 44 miles
C) 76 miles
D) 88 miles
_____ 23) Heather was charged $252 for a recent repair to her car. The charge included the cost (c)
of a new alternator and the mechanic’s rate of $40 for each hour (h) he works on the car.
Which equation describes Heather’s situation?
A) c = 252 + 40 + h
B) 252 = c + 40 + h
C) c = 252 + 40h
D) 252 = c + 40h
_____ 24) Refer to the graph below. Find the rate of change in cost per hour.
A)
B)
C)
D)
$120 per hour
$20 per hour
$30 per hour
$40 per hour
_____ 25) Simplify the numerical expression:
25
𝐴) − 12
B) −
17
12
4
6
-
3
8
(8C)
1
3
22
12
)+
3
12
is equal to:
47
D) − 24
Name ________________________________________ Period _______ Date ______________
Math 7R – Midterm Review Sheet (Con’t)
Multiple Choice: Write the letter for the correct answer on the line provided. NO CALCULATOR MAY BE
USED. You must show all work on a separate sheet of scrap paper.
_____ 26) Friday night, Megan earned $45 for babysitting 5 hours. Saturday night, Megan earned
$72 for babysitting 8 hours. What is the constant of proportionality between the money
earned and the number of hours spent babysitting each night?
A) 1.6
B) 0.625
C) 9
D) 1
_____ 27) Colleen’s service charge at a nail salon was $35, before tax. The sales tax rate was 8%.
If she added 20% of the amount before tax for a tip, how much did she pay in total for
the service at the nail salon?
A)
$44.80
B) $63
C) $45.36
D) $35.10
_____ 28) A submarine at -28 feet dives 40 feet. What is the submarine’s elevation after the dive?
A) 68 feet
B) 12 feet
C) -12 feet
D) -68 feet
_____ 29) Trey filled up his 16-gallon gas tank for $51.84 at The Fuel Tank. Rebecca filled up her
13-gallon tank for $44.33 at The Gas Can. Which statement most accurately compares
the gas prices?
A)
B)
C)
D)
Trey got a better deal because 16 gallons is more than 13 gallons.
Rebecca got a better deal because she paid less money.
Trey got a better deal because the price per gallon is less.
Rebecca got a better deal because the price per gallon at The Gas Can is less.
_____ 30) At 8 p.m. the temperature outside was 14º. The temperature decreased 3º per hour. What
is the temperature at 2 a.m.?
A)
4º
B) 11º
C) -4º
D) 32º
Extended Response: You must show all work. Be neat and organized. YOU MAY USE A CALCULATOR. All
fractions must be in simplest form.
31) Solve the equation below for x. You must show all steps.
1
5 1
x   
3
6 6
32) Target is having a holiday clearance sale. On Friday, every holiday item is 20% off. Using this
information, answer the following.
A) Greg buys an artificial Christmas tree on Friday for $104. What was the original price for
the tree?
Show work here:
Original Price: __________
B) Greg had to pay a 7 ¾% sales tax on the sale price for the tree. What was the total cost for
the tree to the nearest penny?
Show work here:
Answer: ________________
Name ________________________________________ Period _______ Date ______________
Math 7R – Midterm Review Sheet (Con’t)
Extended Response: You must show all work. Be neat and organized. YOU MAY USE A CALCULATOR. All
fractions must be in simplest form.
33) Refer to the graph, and answer the following questions.
A) What is the specific meaning for Point A?
B) What is the unit rate for the line?
C) What is the equation for the line?
D) If there are 104 boys in Mr. Muni’s class, how many girls should there be?
34) Use order of operations to simplify the following:
√36 + (−3)2 +
2 0
∙ 8 − 33 ÷ (−9)
5
35) Millicent has $96.00 to spend at Modells. She wants to buy a sweatshirt that’s costs $30.00, and
some socks that cost $11.00 per bag. All state taxes are already included in the prices.
A) Write an equation to determine, x, the number of bags of socks the Millicent can buy.
B) Using your equation from above, find the number of bags of socks Millicent can buy.
36) Oliver wanted to buy a 3D curved TV for $6,500. He had $1,500 to use as a down payment for the
TV, and financed the rest of the cost through a loan from the bank. The 3 year loan had a rate of 3.2%.
How much money in total did Oliver spend for the television to the nearest penny?
37) Refer to the diagram, and answer the questions below:
x-6
x
A) Write an expression to represent the perimeter of the rectangle by combining like terms.
B) The perimeter of the rectangle is 480 units. Using your expression from Part A, solve for x,
and find the dimensions of the rectangle.
38) Connor has $45 in his wallet at the start of the week. On Monday, he spends $5.75 at Wendy’s,
on Tuesday he earns $10 doing chores around the house. On Wednesday, he treats his friend to a
movie and spends $15.50. On Thursday, he receives $20 from his Great Grandmother for his
birthday, and Friday he spends $4.30 on some candy.
a)
Write and simplify an expression to find the amount of money Connor has left on Saturday
morning.
b) What was the percent of change from the start of the week to Saturday morning?
(round to the nearest percent)
39)
Michael wants to order an iPad from Amazon.com. The price of the iPad is $549.00.
Sales tax is 8% and shipping is $9.00. What is the total cost Michael will have to pay, including
sales tax and shipping cost?
If Michael receives an allowance of $22 per week, how many weeks will it take for him to save
enough money to purchase the iPad?