# Lesson 9

Dealing with Negative Numbers

### Problem 1

Solve each equation.

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

### Solution

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### Problem 2

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.

### Solution

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### Problem 3

Select **all** the equations that match the diagram.

\(x+5=18\)

\(18\div3=x+5\)

\(3(x+5)=18\)

\(x+5 = \frac13\boldcdot 18\)

\(3x+5=18\)

### Solution

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(From Unit 6, Lesson 3.)### Problem 4

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?

### Solution

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(From Unit 6, Lesson 2.)### Problem 5

Match each story to an equation.

### Solution

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(From Unit 6, Lesson 4.)