Madelyn has x quarters (each are 25 cents) and y dimes (each are 10 cents). She has no less than 18 coins worth at most $3.60 combined. Write a system of inequalities that represents this scenario.
Modeling Systems of Inequalities

Quiz
•
Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply.
w = 50 ft; l = 10 ft
w = 10 ft; l = 50 ft
w = 20 ft; l = 60 ft
w = 90 ft; l = 30 ft
w = 50 ft; l = 40 ft
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving? When graphing this scenario, let h be the horizontal variable and d be the vertical variable. For the inequality h ≥ 3, the graph should ____________ be the boundary line.
Shaded Above
Below
To the right of
To the left of
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hours of the trip Erin will be driving, then h ≥ 3 and h≤ 6 represents her portion of the driving. While she is driving, her distance and time are modeled by the inequality d < 70h. What are the possible hours and distances Erin could be driving? When graphing this scenario, let h be the horizontal variable and d be the vertical variable. For the inequality h≤ 6, the graph should ____________ be the boundary line.
Shaded Above
Below
To the right of
To the left of
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Kim wants to earn at least $65 from her two jobs next week. At most, she can work 15 hours. Her first job pays $5 per hour, and her second job pays $7 per hour. Let x represent the number of hours worked at the first job and y represent the number of hours worked at the second job. Which system of linear inequalities models Kim's situation?
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of inequalities is represented by this graph?
y < -3x + 3 and y > -3x - 1
y ≥ -3x + 3 and y ≤ -3x - 1
y ≤ -3x + 3 and y ≥ -3x - 1
y > -3x + 3 and y < -3x - 1
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
A carpenter has $60 with which to buy supplies. The carpenter needs to buy both nails and screws. Nails cost $12.99 per box, and screws cost $14.99 per box. If n represents the number of boxes of nails and s represents the number of boxes of screws, which of the following systems of inequalities models this situation?
{12.99n+14.99s 60
{n 1
{s 1
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