
Linear Inequality Word Problems and Graphing with Two Variables
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered

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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: 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
2.
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
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.
14x + 5y ≥ 1000
14x + 5y < 1000
14x + 5y ≤ 1000
14x + 5y > 1000
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following inequalities matches the graph?
y > 2x - 2
y < 2x - 2
y ≥ 2x - 2
y ≤ 2x - 2
Tags
CCSS.HSA.REI.D.12
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
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
Select the correct graph for each inequality.
A
B
C
D
Tags
CCSS.HSA.REI.D.12
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