Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.8

Lesson 8.68.6 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can solve an inequality and graph its solution set on a number line, explain what each part stands for, and build one for a situation I have not seen before.

Remember8.6 Small Group · Group 2

Undo the operation on both sides to solve an inequality, then test the boundary to decide if the circle is open or closed. Inequalities with multiplication are solved by dividing both sides. Check the boundary in the story.

Words: Solve (Resolver)Graph (Graficar)Solution (Solución)Substitute (Sustituir)Solution set (Conjunto solución)

  1. 1Complete each step, then write the final answer.

    Solve 5x ≥ 35. What is the smallest value of x that makes it true?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Solve 8x ≤ 52. What is the boundary number?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    An elevator can carry at most 1,200 pounds. Each box weighs 75 pounds. Write and solve an inequality for the number of boxes b. What is the greatest number of boxes?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Solve x + 4.5 ≤ 3 × 4. What is the boundary number?

    Show your work
    Final answer:

Explain your thinkingAfter you solve an inequality, how do you test the boundary to choose an open or closed circle? Use 5x > 30.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help