7.6.8

Last updated about 2 years ago

8 questions

1

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

1

6

1

2

1

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

1

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

1

1b. Solve the equation from above.

6

Draggable item		Corresponding Item

6

Draggable item		Corresponding Item

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.

1b. Solve the equation from above.

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

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

3. Select the best word to describe each situation.

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

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.

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

x+2

The circle has an unknown weight, so use x to represent it.

x

The left side has 9 squares, each weighing 1 unit.

the equal sign

There are 3 identical groups on the right side.

3(x+2)

Each group on the right side is made up of one circle with weight x units and 2 squares of weight 1.

3

The total weight of those 3 identical groups is the total weight of the right side. 

9

This is seen in the hanger being balanced.

3. Select the best word to describe each situation. 

The normal price of a mattress is $600, but it is on sale for 10% off. 

Interest

An antique furniture store pays $200 for a chair, adds 50% of that amount, and sells the chair for $300. 

Commission

You deposit money in a savings account, and every year the amont of money in the account increases by 2.5%.

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. 

Markup

For every car sold, a car salesman is paid 6% of the car's price. 

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. 

Tax

7.6.8

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

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

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

1b. Solve the equation from above.

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.

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

1b. Solve the equation from above.

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

3. Select the best word to describe each situation.

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.

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)

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

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)