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Linear Inequality Word Problems and Graphing

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Linear Inequality Word Problems and Graphing
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

57x + 72y ≥ 2700

57x + 72y > 2700

57x + 72y < 2700

57x + 72y ≤ 2700

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

x + 2y < 240

x + 2y > 240

x + 2y ≤ 240

x + 2y ≥ 240

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the linear inequality in standard form for this situation: The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Tvs sell for $225 and DVD players sell for $175.

225x +175y ≤ 21,000

225x +175y ≥ 21,000

225x +175y < 21,000

225x +175y > 21,000

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

7x + 13y < 81

7x + 13y ≥ 81

7x + 13y ≤ 81

7x + 13y > 81

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which inequality matches the picture shown?

y > x

y < x

y > x

y < x

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which inequality matches the picture shown?

y < -1/2 x + 5

y < -1/2 x + 5

y > -1/2 x + 5

y > -1/2 x + 5

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following equations match the given graph?

y ≤ -3/4 x + 3

y ≥ -3/4 x + 3

y < -3/4 x + 3

y > -3/4 x + 3

Tags

CCSS.HSA.REI.D.12

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