Lesson 9

Dealing with Negative Numbers

Solve each equation.

$4x=\text-28$
$x-\text-6=\text-2$
$\text-x+4=\text-9$
$\text-3x+7=1$
$25x+\text-11=\text-86$

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Here is an equation $2x+9=\text-15$ . Write three different equations that have the same solution as $2x+9=\text-15$ . Show or explain how you found them.

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Select all the equations that match the diagram.

Tape diagram, 3 equal parts each marked x + 5, total 18.

$x+5=18$

$18\div3=x+5$

$3(x+5)=18$

$x+5 = \frac13\boldcdot 18$

$3x+5=18$

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(From Unit 3, Lesson 3.)

There are 88 seats in a theater. The seating in the theater is split into 4 identical sections. Each section has 14 red seats and some blue seats.

Draw a tape diagram to represent the situation.
What unknown amounts can be found by by using the diagram or reasoning about the situation?

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(From Unit 3, Lesson 2.)

Match each story to an equation.

A stack of nested paper cups is 8 inches tall. The first cup is 4 inches tall and each of the rest of the cups in the stack adds $\frac14$ inch to the height of the stack.

A baker uses 4 cups of flour. She uses $\frac14$ cup to flour the counters and the rest to make 8 identical muffins.

Elena has an 8-foot piece of ribbon. She cuts off a piece that is $\frac14$ of a foot long and cuts the remainder into four pieces of equal length.

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(From Unit 3, Lesson 4.)

Lesson 9

Problem 1

Solution

Problem 2

Solution

Problem 3

Solution

Problem 4

Solution

Problem 5

Solution