Modeling Systems of Inequalities

Modeling Systems of Inequalities

9th Grade

20 Qs

quiz-placeholder

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Modeling Systems of Inequalities

Modeling Systems of Inequalities

Assessment

Quiz

Mathematics

9th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

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

Media Image

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 \le 60

{n \ge 1

{s \ge 1

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