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Unit 2: Solving and Graphing Linear Inequalities Test Review

Quiz by Jennifer Sanders

Grade 9-12
Math
Georgia Standards of Excellence

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16 questions
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  • Q1

    The PTA is selling t-shirts for $20 each. They hope to raise $3,000 or more for school equipment. If x represents the number of shirts the PTA sells, write an inequality to describe the situation.

    20x<3000

    20x>3000

    20x\ge3000

    20x\le3000

    300s
  • Q2

    Jacob earns $5 an hour tutoring for math. He wants to buy a bike. He needs to earn at least $175 to buy a good one. If h represents the number of hours he tutors, write an inequality to represent the situation.

    5h\le175

    5h<175

    5h>175

    5h\ge175

    300s
  • Q3

    Which of the following inequalities could be the result of the FIRST step in solving the inequality for x?

    Question Image

    3x+24>2x+3

    x+8>2x+1

    x+8>2x+5

    3x+8>2x+3

    300s
  • Q4

    Which of the following inequalities could be the result of the FIRST step in solving the inequality for x?

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    3x+1+2x\ge2x+1

    4x+5\ge2x+4

    5x+4\ge2x+4

    1+2x\ge-1x+4

    300s
  • Q5
    300s
  • Q6
    30s
  • Q7
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    300s
  • Q8
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    300s
  • Q9

    Which inequality matches the graph?

    Question Image

    y\ge3x+4

    y<3x+4

    y\le3x+4

    y>3x+4

    300s
  • Q10

    Which inequality matches the graph?

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    y\le3x+1

    y<3x+1

    y>3x+1

    y\ge3x+1

    300s
  • Q11

    Ty's work is shown in the image. Did he solve the inequality correctly?

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    yes

    no

    300s
  • Q12

    Daniel got this question wrong on his quiz. His work is shown in the image. What was Daniel's mistake?

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    He subtracted 7 when he should have added it.

    He divided by 5, but he should have subtracted both sides by 5.

    He should have flipped the inequality sign when he divided by 5

    He added 2x to both sides when he should have subtracted it.

    300s
  • Q13
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    300s
  • Q14

    Write the linear inequality of the graph. 

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    y<-8x+4

    y>-\frac{1}{2}x+4

    y<\frac{1}{2}x+4

    y\le2x+4

    300s
  • Q15

    Write the linear inequality of the graph.

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    y>\frac{1}{2}x-1

    y\ge2x-1

    y\ge-2x+1

    y\le-\frac{1}{2}x+1

    300s

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