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6-8 Accelerated 7 Unit 3 Lesson 13

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Accelerated 6 •Accelerated 7

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 •Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18

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IM K-5 Math
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Unit 3, Lesson 13

Solutions of Inequalities

Accelerated 7

Practice

Problem 1

Select all numbers that are solutions to the inequality \(k > 5\).

4

5

6

5.2

5.01

0.5
Draw a number line to represent this inequality.

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Problem 2

Lesson 13 Resources

Student Materials

Choose one of these inequalities to represent each situation or number line: \(x< 25\), \(x > 25\), \(x \leq 25\), or \(x \geq 25\).

The library gave a bookbag to any student who read at least 25 books over the summer. Priya read \(x\) books and got a bookbag.
Kiran read \(x\) books over the summer, but he did not get a bookbag.

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Problem 3

For each inequality, find two values for \(x\) that make the inequality true and two values that make it false.

\(x+3>70\)
\(x+3<70\)
\(\text-5x<2\)
\(5x<2\)

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Problem 4

ForLesson 7: Reasoning about Solving Equations (Part 2)

Solve each equation.

\(\frac17(x+\frac34)=\frac18\)

\(\frac92=\frac34(z+\frac23)\)

\(1.5=0.6(w+0.4)\)

\(0.08(7.97+v)=0.832\)

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Problem 5

ForLesson 4: Reasoning about Equations and Tape Diagrams (Part 1)

Select all the stories that can be represented by the diagram.

Tape diagram, 3 equal parts labeled x, one small part colored blue, labeled 1, total 7

Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Lin spends \$3 on 7 markers and a \$1 pen.
Diego spends \$1 on 7 stickers and 3 marbles.
Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.
Elena spends \$7 on 3 notebooks and a \$1 pen.

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Problem 6

ForLesson 11: Congruence

Describe a sequence of translations, rotations, or reflections that show the triangles are congruent.

Triangles A B C and D E F.

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