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Number Lines: Reading and Graphing Inequalities: Classroom Packet

Grade 8 Algebra: Number Lines: Reading and Graphing Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 1

Read the graph

  1. 1. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456
  2. 2. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456
  3. 3. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456
  4. 4. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456
  5. 5. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456
  6. 6. Write the inequality shown on the number line:
    −6−5−4−3−2−10123456

Answer Key

Level 1

  1. 1. x>3x > 3
  2. 2. x≤−2x \le -2
  3. 3. x≥0x \ge 0
  4. 4. x<5x < 5
  5. 5. x>−4x > -4
  6. 6. x≤1x \le 1

Grade 8 Algebra: Number Lines: Reading and Graphing Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 2

Graph the inequality

  1. 1. Graph on the number line:
    x<4x < 4
    −6−5−4−3−2−10123456
  2. 2. Graph on the number line:
    x≥−3x \ge -3
    −6−5−4−3−2−10123456
  3. 3. Graph on the number line:
    x>−1x > -1
    −6−5−4−3−2−10123456
  4. 4. Graph on the number line:
    x≤2x \le 2
    −6−5−4−3−2−10123456
  5. 5. Graph on the number line:
    3≥x3 \ge x
    −6−5−4−3−2−10123456
  6. 6. Graph on the number line:
    −2<x-2 < x
    −6−5−4−3−2−10123456

Answer Key

Level 2

  1. 1. open circle at 4, shade left\text{open circle at } 4\text{, shade left}
  2. 2. closed circle at −3, shade right\text{closed circle at } -3\text{, shade right}
  3. 3. open circle at −1, shade right\text{open circle at } -1\text{, shade right}
  4. 4. closed circle at 2, shade left\text{closed circle at } 2\text{, shade left}
  5. 5. closed circle at 3, shade left\text{closed circle at } 3\text{, shade left}
  6. 6. open circle at −2, shade right\text{open circle at } -2\text{, shade right}

Grade 8 Algebra: Number Lines: Reading and Graphing Inequalities

Name: ______________________Date: ____________Score: ____ / 6

Level 3

Solve, then graph

  1. 1. Solve, then graph on the number line:
    2x+1>72x + 1 > 7
    −6−5−4−3−2−10123456
  2. 2. Solve, then graph on the number line:
    −3x≤9-3x \le 9
    −6−5−4−3−2−10123456
  3. 3. Solve, then graph on the number line:
    x2−1<1\dfrac{x}{2} - 1 < 1
    −6−5−4−3−2−10123456
  4. 4. Solve, then graph on the number line:
    5−x≥25 - x \ge 2
    −6−5−4−3−2−10123456
  5. 5. Solve, then graph on the number line:
    3x−4≤−103x - 4 \le -10
    −6−5−4−3−2−10123456
  6. 6. Solve, then graph on the number line:
    −2x+5<1-2x + 5 < 1
    −6−5−4−3−2−10123456

Answer Key

Level 3

  1. 1. x>3,  open circle at 3, shade rightx > 3,\; \text{open circle at } 3\text{, shade right}
  2. 2. x≥−3,  closed circle at −3, shade rightx \ge -3,\; \text{closed circle at } -3\text{, shade right}
  3. 3. x<4,  open circle at 4, shade leftx < 4,\; \text{open circle at } 4\text{, shade left}
  4. 4. x≤3,  closed circle at 3, shade leftx \le 3,\; \text{closed circle at } 3\text{, shade left}
  5. 5. x≤−2,  closed circle at −2, shade leftx \le -2,\; \text{closed circle at } -2\text{, shade left}
  6. 6. x>2,  open circle at 2, shade rightx > 2,\; \text{open circle at } 2\text{, shade right}