Equations and Inequalities Cumulative Review
1. Christie babysits throughout the week to earn extra money to save up for college.
She charges $8 per hour on weekdays and $10 per hour on weekends. Let x
represent the number of hours she worked on the weekdays and y represent the
number of hours she worked on the weekend.
a. Write an algebraic expression to represent the total amount of money she
earned during the week.
b. Use the Distributive Property to rewrite the expression by factoring out the
greatest common factor.
for = 6.
3. Which numbers have 29 as their absolute value?
4. Joe, Tammy, Kevin, and Karen went out for lunch. Joe’s meal cost $9, Tammy’s
cost $10, and Kevin and Karen’s meals each cost $8. They decide to split the bill
equally among them. Write an expression to represent the amount that each of
them would pay and then solve the expression.
5. Last July in Antarctica, the average low temperature was -81F. In the same
month, the average high temperature was -76F. What is the difference between
the average low and high temperatures?
6. The Stationery Store sells birthday invitation cards in packs of 16 and matching
envelopes in packs of 12. If you are planning a birthday party and do not want
any leftover invitations or envelopes, what is the least number of guests you can
invite so that you purchase the same number of each? How many packs of
invitations will you need to purchase? How many packs of envelopes will you
need to purchase?
7. Ms. Marjorie, the art teacher, had a gallon (128 ounces) of green paint. She used
of the paint for her first two classes. She is using the remaining green paint for
her last class. Each student needs 2
ounces of green paint for the project. How
many students will she be able to give paint to?
8. Regular gas at the corner station costs $3.495 per gallon. You asked the
attendant to fill up your car and it took 11.75 gallons. How much is your total?
Round your answer to the nearest hundredths. You pay the attendant with a
$100 bill. What is your change?
9. The area of the rectangular playground at school is 359.375 square feet. The
width of the playground is 12.5 feet. What is the length of the playground?
10. On his last five science tests, Darren scored an 87, 94, 72, 90, and an 81. What
score does he need on the next test in order to have a mean score of 85?
11. Evaluate ( 3.8 − ) + 8.07 +
for = 1.4.
12. In gym class, the students participated in a push-up challenge. The teacher
recorded how many push-ups each student completed in one minute and created
the chart below. Use the chart to answer the following questions.
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NJ Center for Teaching and Learning