Linear Inequalities Worksheets Page 50
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5015. Write an equation that represents the data in
Short Response/Gridded Response
the table.
Record your answers on the answer sheet provided
x
y
by your teacher or on a sheet of paper.
3
12.5
9. Solve -4 < 3x + 8 ≤ 23.
4
16
5
19.5
6
23
10. GRIDDED RESPONSE Tien is saving money for a
7
26.5
new television. She needs to save at least $720 to
pay for her expenses. Each week Tien saves $50
toward her new television. How many weeks
16. A sporting goods company near the beach rents
will it take so she can pay for the television?
bicycles for $10 plus $5 per hour. Write an
equation in slope-intercept form that shows the
11. Write an inequality that best represents the graph.
total cost, y, of renting a bicycle for x hours. How
much would it cost Emily to rent a bicycle for
y
6 hours?
Extended Response
x
Record your answers on a sheet of paper. Show
your work.
17. Theresa is saving money for a vacation. She
needs to save at least $640 to pay for her
expenses. Each week, she puts $35 towards her
⎪
x - 4
⎥
< 2.
12. Solve
vacation savings.
a. Let w represent the number of weeks Theresa
13. GRIDDED RESPONSE Daniel wants to ship a set of
saves money. Write an inequality to model the
golf clubs and several boxes of golf balls in a box
situation.
that can hold up to 20 pounds. If the set of clubs
b. Solve the inequality from part a. What is the
weighs 9 pounds and each box of golf balls
minimum number of weeks Theresa must
weighs 12 ounces, how many boxes of golf balls
save money in order to reach her goal?
can Daniel ship?
c. If Theresa were to save $45 each week instead,
14. Graph the solution set for the inequality
by how many weeks would the minimum
3x - 6 ≤ 4x - 4 ≤ 3x + 1.
savings time be decreased?
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