WorksheetsUnit 4 Review
Total questions: 12
Worksheet time: 24mins
Which of the following situations can be modeled by the equation below?
2x + 2 = 6 + x
Joe has donated $2 to charity and he plans to donate $1 per day. Kim has donated $6 to
charity and she plans to donate $2 per day. How many days will it take for them to have
donated the same amount?
Carla has 1 stamp. She plans to save 6 additional stamps per week. Michael has 2 stamps
and he plans to save 2 stamps per week. How many weeks will it take for them to have
the same number of stamps?
Kenneth has already read 6 books and he plans to read 2 more books every month. Aubrey
has read 2 books and plans on reading 1 more book every month. How many months will it
take for them to have read the same number of books?
Mara has already jogged 2 miles this month. She plans to jog 2 miles per day for the rest of
the month. Jason has already jogged 6 miles this month. He plans to only jog 1 mile per day
for the rest of the month. How many days will it take for them to have jogged the same
number of miles.
What value of x makes the equation true?
x = 4
x = -8
x = -1
x = 64
The equation 4x + 2 = x + 8 is modeled below. What value of x makes the equation true?
(a)
At the store each bag of chips has a cost of x dollars. Which situation is represented by this inequality?
The cost of 6 bags of chips is greater than the cost of 3 bags of chips plus a $4 soda.
The cost of 6 bags of chips is less than the cost of 3 bags of chips with a $4-off coupon.
The cost of 6 bags of chips is less than the cost of 3 bags of chips plus a $4 soda.
The cost of 6 bags of chips is $4 greater than the cost of 3 bags of chips.
What value of x makes the equation true?
-5x + 6 = 12 - 2x
-2
-6
2
6
Company A rents copy machines for $300 per month plus $0.05 per copy. Company B charges
$600 per month plus $0.01 per copy. For which number of copies do the two companies charge
the same amount in a single month?
5000 copies
6000 copies
7000 copies
7500 copies
Katherine is purchasing flower baskets to be placed on each table at a volunteer appreciation lunch.
Store A charges $19.25 per flower basket plus a $15 delivery fee.
Store B charges $17.50 per flower basket plus a $30 delivery fee.
Which inequality can determine x, the maximum number of flower baskets that can be ordered for the total cost of store A to be less than the total cost of Store B?
19.25 + 15x > 17.5 +30x
19.25 + 15x < 17.5 +30x
19.25x + 15 > 17.5x + 30
19.25x + 15 < 17.5x + 30
Which situation can be modeled by the inequality 10x + 75 > 6.5x +120?
Talia joins gym A at a cost of $120 down plus $6.50 per month. Her brother, Caleb joins gym B
which charges $75 down plus $10 per month. After how many months will gym B costs less
than gym A?
Talia and her brother, Caleb, are collecting cans for a canned food drive. Talia already has 120
cans and receives 6.5 additional cans per day. Caleb has 10 cans and receives 75 additional
cans per day. After how many days will Caleb have more cans than Talia?
Talia has $75.00. Her brother, Caleb, has $120. Talia saves $10 per week and her brother
saves $6.50 per week. After how many weeks will Talia have more money than Caleb?
Talia earns 85 points on each level of a video game. Her brother, Caleb, earns 126.5 points on
each level of a different game. How many levels would Talia and Caleb have to play to have an
equal number of points?
John wants to order school spirit shirts to sell as a fundraiser at future events. #1 Shirt Designs charges a $75 setup fee plus $12.50 per shirt. Tees and More do not have a set up fee but charge $15.75 per shirt. Which equation can determine the number of shirts , x, that need to be ordered for the total cost at each company to be the same?
12.5x + 75 = 15.75x
12.5 + 75x = 15.75
15.75x + 75 = 12.5x
15.75 + 75x = 12.5x
Faith rents a space to sell her paintings for $450. She spends $40 to purchase materials for each painting. Faith sells her paintings for $150 each. Which inequality shows the least number of paintings she must sell in order to make a profit?
150x > 450 + 40x
150x < 450 + 40x
450 - 150x > 40x
450 - 150x < 40x
Bill and Jeremy worked a shift together at a local tire shop. Bill only rotates tires and earns $15 per
hour, while Jeremy is a manager and earns $20 per hour. Bill already has $590 in his checking
account and Jeremy has $545 in his and they both deposit their most recent earnings into their
respective accounts. They both worked the same number of hours and now have the same amount
of money. How many hours did Bill and Jeremy each work?
9
18
36
4.5
The model below represents an equation. What value of x makes the equation true?
(a)
