# Lesson 9

Dealing with Negative Numbers

### Problem 1

Solve each equation.

1. $$4x=\text-28$$
2. $$x-\text-6=\text-2$$
3. $$\text-x+4=\text-9$$
4. $$\text-3x+7=1$$
5. $$25x+\text-11=\text-86$$

### Solution

For access, consult one of our IM Certified Partners.

### 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

For access, consult one of our IM Certified Partners.

### Problem 3

Select all the equations that match the diagram.

A:

$$x+5=18$$

B:

$$18\div3=x+5$$

C:

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

D:

$$x+5 = \frac13\boldcdot 18$$

E:

$$3x+5=18$$

### Solution

For access, consult one of our IM Certified Partners.

(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.

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

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 6, Lesson 2.)

### Problem 5

Match each story to an equation.

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 6, Lesson 4.)