7.EE.A.2-Lesson 1: Equivalent Expressions in Context

Lesson 1: Understanding Equivalent Expressions in Context

Learning Target

I can rewrite expressions in different but equivalent forms and use them to understand relationships between quantities in real-world situations.

By Jessica Freeman

Multiple Choice

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Multiple Choice

Which expression is equivalent to 3x + 5 + 7x + 2?

• 10x + 7
• 17x
• 17
• 15x + 2

Multiple Choice

Which expression is equivalent to 6y + 22y + y?

• 28y + 1
• 29y
• 22y + 7
• 29

Multiple Choice

If you test these two expressions for equivalency using a "2" for x and a "3" for y, which of the following answers below is correct?

24x - 18y + 6

3(2 - 6y +8x)

• They are equivalent expressions. The result would be greater than "0".

• They are not equivalent expressions. The results would be different.

• They are not equivalent expressions. The results would be negative.

• They are equivalent expressions. The result would be "0".

Multiple Choice

Which of the following is equivalent to 9 - 6 + 7x - 2x + 3?

• 10x - 5

• 288x +176

• 5x + 6

• 20x + 70

Multiple Choice

Which of the following is equivalent to 2(-18x - 12)?

• -24 - 36x

• 24 + 36x

• -2(18x - 12)

• 2(-3x -15x + 12)

Multiple Choice

How would you change 45% to a decimal?

• Move the decimal 2 places to the left

• Move the decimal 2 places to the right

• Move the decimal 3 places to the left

• Move the decimal 3 places to the right

Multiple Choice

Write 120% as a decimal:

• 1.2

• 12

• 0.12

• 120

Multiple Choice

Convert 70% to a decimal.

• .07
• .70
• .007
• .01

Multiple Choice

Convert 12% to a decimal.

• 1.12
• 12.09
• .12
• .09

Multiple Choice

Convert 55% to a decimal.

• .55
• .055
• .05
• .035

Multiple Choice

Convert 3% to a decimal.

• .03
• .30
• .05
• .06

Multiple Choice

Write the decimal as a percent
1.2

• 12%

• 120%

• .12%

• 1200%

Multiple Choice

Write the percent as a decimal
300%

• 30

• 300

• 3000

• 3

Multiple Choice

Write the percent as a decimal
0.9%

• 0.009

• 0.09

• 0.9

• 90

Multiple Choice

Convert 36% to a decimal. 

• 3600

• 36

• .36

Multiple Choice

Convert 70% to a decimal.

• .07

• .70

• .007

• .01

Multiple Choice

Discount is ____________ from the price.

• added
• divided
• subtracted
• divided

Multiple Choice

When a price is increased, it is called a ____________.

• Markdown

• Markup

• Sales Tax

• Commission

Multiple Choice

Sales tax is __________ to the price

• subtracted
• added
• multiplied
• divided

Multiple Choice

Compares a number to 100

• Percent

• Ratio

• Proportion

• Interest

Multiple Choice

A type of discount or percent decrease

• Sales Tax

• Markup

• Markdown

• Wholesale Price

Multiple Choice

A type of percent increase

• Markdown

• Discount

• Markup

• Wholesale

Multiple Choice

Three friends go out to eat. Their meal costs $40, and a tip of 15% is included.

• Markup

• Markdown

Multiple Choice

Sasha goes grocery shopping. She spends $37, then a tax of 8.6% is included.

• Markdown

• Markup

Multiple Choice

Julie goes on a shopping spree, where she spends $100. The store she goes to has a sale where everything is 40% off.

• Markup

• Markdown

Multiple Choice

A car seller decides to increase the cost of some vehicles by 20%.

• Markdown

• Markup

Multiple Choice

A reduction in price

• sales tax

• discount

• commission

• percent

Multiple Choice

30% clearance sale.

• Markup

• Markdown

Multiple Choice

15% coupon off.

• Markup

• Markdown

Multiple Choice

Profit of 10%.

• Markup

• Markdown

Multiple Choice

5% increase.

• Markup

• Markdown

Multiple Choice

Ms. Shannon, Mrs. Adkins and Mrs. Carpenter go out to dinner. They want to leave a 20% tip for their waitress. Is this a markup or markdown?

• Markup

• Markdown

Multiple Choice

Jaden is buying tickets to the Giants game. When he goes to check out there is a sales tax applied to his total price. Is sales tax a markup or markdown?

• Markup

• Markdown

A shoe advertises a 25% discount.


Is this a MARKUP (+) Will I add to 100%?
or
Is this a MARKDOWN (-) Will I deduct from 100%?

​C

._ _C

A shoe advertises a 25% discount.


Is this a MARKUP (+) Will I add to 100%?
or
Is this a MARKDOWN (-) Will I deduct from 100%?

​C

._ _C

2 5

A shoe advertises a 25% discount.
or SINCE IT IS A MARKDOWN...

We can deduct .25 from 1.oo in our head.

What percent would we actually be paying?











So,

.__C is __% of the original costs.

._ _C

A backpack is 20% off the original price.


Is this a MARKUP (+) Will I add to 100%?
or
Is this a MARKDOWN (-) Will I deduct from 100%?

​C

._ _C

A backpack is 20% off the original price.


Is this a MARKUP (+) Will I add to 100%?
or
Is this a MARKDOWN (-) Will I deduct from 100%?

​C

._ _C

2 0

A backpack is 20% off the original price.
or SINCE IT IS A MARKDOWN...

We can deduct .20 from 1.oo in our head.

What percent would we actually be paying?











So,

.__C is __% of the original costs.

._ _C

A phone case originally costs (x) dollars.
The discount is 0.15c. Rewrite the sale price in TWO forms.

​C

 

._ _C

.__ c

A restaurant bill is b. The tax rate is 8%.

Markup or markdown?

b

._ _b

_.__ b

A video game costs g. Their is a 12% tax. Write (2) expressions to represent the costs.

Markup or markdown?

g

._ _g

_.__ g

A water bottle costs w. There was a 30% markup at the store. Write (2) forms of the total price.

w

._ _w

_.__ w

Multiple Choice

A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 40% markup. Write an expression for the retail price of a silver chain.

• .6c
• .4c
• 1.4c
• $40

Multiple Choice

To find a discount of 30% off of a price of P, which expression should you use to find the final price? 

• 1.30P
• 0.30P
• 0.70P
• 1.70P

Multiple Choice

To find a discount of 15% off of a price of B, which expression should you use to find the final price?

• B - 0.85
• 0.85 + B
• 0.15B
• 0.85B

Multiple Choice

The expression 0.70x calculates what change to x?

• 70% increase
• 70% decrease
• 30% increase
• 30% decrease

Multiple Choice

The expression x⋅0.90 calculates what change to x?

• 10% increase
• 10% decrease
• 90% decrease
• 90% increase

Multiple Choice

The expression 1.80x calculates what change to the value of x?

• 20% increase
• 80% decrease
• 20% decrease
• 80% increase

Multiple Choice

The expression 1.05x calculates what change to the value of x?

• 50% increase
• 5% increase
• 95% increase
• 95% decrease

Multiple Choice

A coat is on sale for 35% off. The regular price is p. Which expression represents the sale price of the coat?

• p - 0.35

• p - 0.35p

• p - 0.65

• 35p

Multiple Choice

a tutor earns d dollars per hour. He will be increasing his hourly wage by 10% starting next month. By what number should his clients multiply the previous wages they paid in order to calculate the new wage?

• 0.1

• 0.9

• 1.1

• 1.9

Multiple Choice

A jeweler purchases a necklace for $80. She will increase the cost by 50% to sell in her store. What will the jeweler charge for the necklace to her customers?

• $40

• $120

• $150

• $100

Multiple Choice

Margie wants to leave a 20% tip to her server. How can she calculate the total amount she pays (p), including the tip?

• 1.2p

• 0.2p

• 1.02p

• 0.8p

Multiple Choice

The expression 1.05x calculates what change to the value of x?

• 50% increase
• 5% increase
• 95% increase
• 95% decrease

Multiple Choice

A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 40% markup. Write an expression for the retail price of a silver chain.

• .6c
• .4c
• 1.4c
• $40

Multiple Choice

To find a discount of 30% off of a price of P, which expression should you use to find the final price? 

• 1.30P
• 0.30P
• 0.70P
• 1.70P

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Poll

How do you feel about rewriting expressions involving percents?

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D

Multiple Choice

• A
• B
• C
• D