
1a. Write an equation to represent the hanger to the left.
1b. Solve the equation from above.
Explain how each part of the equation is represented in the hanger.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
x+2 | arrow_right_alt | The circle has an unknown weight, so use x to represent it. |
x | arrow_right_alt | The left side has 9 squares, each weighing 1 unit. |
the equal sign | arrow_right_alt | There are 3 identical groups on the right side. |
3(x+2) | arrow_right_alt | Each group on the right side is made up of one circle with weight x units and 2 squares of weight 1. |
3 | arrow_right_alt | The total weight of those 3 identical groups is the total weight of the right side. |
9 | arrow_right_alt | This is seen in the hanger being balanced. |

3. Select the best word to describe each situation.
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
The normal price of a mattress is $600, but it is on sale for 10% off. | arrow_right_alt | Interest |
An antique furniture store pays $200 for a chair, adds 50% of that amount, and sells the chair for $300. | arrow_right_alt | Commission |
You deposit money in a savings account, and every year the amont of money in the account increases by 2.5%. | arrow_right_alt | Tip or gratuity |
For any item you purchase in Texas, you pay an additional 6.25% of the item's price to the state government. | arrow_right_alt | Markup |
For every car sold, a car salesman is paid 6% of the car's price. | arrow_right_alt | Discount |
Someone who eats at a restaurant pays an extra 20% of the food price. This extra money is kept by the person who served the food. | arrow_right_alt | Tax |

Exit Ticket
Solve the equation
3(x + 4.5) = 36.
You may consider using the diagram to help you.
4. Clare drew this diagram to match the equation
2x + 16 = 50,
but she got the wrong solution as a result of using this diagram. (Look to the left.)
a) What value for x can be found using the diagram that she drew?
4b. Show how to fix Clare's diagram to correctly match the equation. (1 pt)
c. Use the diagram to find a correct value for x. (1 pt)
4d. Explain the mistake Clare made when she drew her diagram.