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7.6.8

Last updated over 1 year ago

8 questions

1

1a. Write an equation to represent the hanger to the left.

1

1b. Solve the equation from above.

6

Explain how each part of the equation is represented in the hanger.

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

6

3. Select the best word to describe each situation.

Draggable item		Corresponding Item
For every car sold, a car salesman is paid 6% of the car's price.		Interest
The normal price of a mattress is $600, but it is on sale for 10% off.		Commission
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.		Tip or gratuity
An antique furniture store pays $200 for a chair, adds 50% of that amount, and sells the chair for $300.		Markup
You deposit money in a savings account, and every year the amont of money in the account increases by 2.5%.		Discount
For any item you purchase in Texas, you pay an additional 6.25% of the item's price to the state government.		Tax

1

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?

2

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)

1

4d. Explain the mistake Clare made when she drew her diagram.

1

Exit Ticket
Solve the equation
3(x + 4.5) = 36.
You may consider using the diagram to help you.