Lesson 8: Practice Problems
Problem 1
Here is a hanger:
![Hanger has 5 groups of a circle + rectangle labeled with 2 on the left, rectangle labeled with 11 on the right](../../../../../../embeds/9bb7554c--7.6.B2.newPP.04.png)
Write an equation to represent the hanger.
Solve the equation by reasoning about the equation or the hanger. Explain your reasoning.
Problem 2
Explain how each part of the equation
![A balanced hanger with 9 squares, 1 each and 3 groups of circle x and 2 squares, 1 each with dotted lines around the groups.](../../../../../../embeds/f2d8ec6e--7.6.B2.newPP.01.png)
Problem 3 From Unit 4 Lesson 11
Select the word from the following list that best describes each situation.
You deposit money in a savings account, and every year the amount of money in the account increases by 2.5%.
For every car sold, a car salesman is paid 6% of the car’s price.
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.
An antique furniture store pays $200 for a chair, adds 50% of that amount, and sells the chair for $300.
The normal price of a mattress is $600, but it is on sale for 10% off.
For any item you purchase in Texas, you pay an additional 6.25% of the item’s price to the state government.
Tax
Commission
Discount
Markup
Tip or gratuity
Interest
Problem 4 From Unit 6 Lesson 3
Clare drew this diagram to match the equation
![A tape diagram partitioned into three different sized rectangles, labeled 2, x and 16. The total length of the bar is labeled 50.](../../../../../../embeds/1f6c2fc6--7.6.B.PP.Image.07.png)
What value for
can be found using the diagram? Show how to fix Clare’s diagram to correctly match the equation.
Use the new diagram to find a correct value for
. Explain the mistake Clare made when she drew her diagram.