Equivalent expressions
Percents
Conversions
Rates
Ratios
100

Which expressions are equivalent to πŸ—π’™? Select ALL that apply.

A 3(2π‘₯)

B 3(3π‘₯)

C 3π‘₯ + 3

D 3π‘₯ + 3π‘₯

E 6π‘₯ + 3π‘₯

B and E

100

An event planner has spent $πŸπŸ“πŸ“ preparing for an upcoming event, which is πŸ‘πŸŽ% of the total budget for the event. What is the total budget for the event?

$850

100

A ribbon is 𝟐𝟏𝟎 centimeters long. What is the total length of the ribbon, in meters?
(Note: 𝟏𝟎𝟎 centimeters = 𝟏 meter.)

2.1 meters

100

A truck travels at a constant rate of πŸπŸ”πŸ“ miles every πŸ‘ hours. At this rate, how many miles does the truck travel in πŸ• hours?

385 miles

100

There are πŸπŸ” granola bars in 𝟐 boxes of granola bars. If each box contains the same number of granola bars, what is the minimum number of boxes needed to have πŸ–πŸŽ granola bars?

10 boxes

200

Which expressions are equivalent?

Expression 𝟏: πŸ•π’‚ + πŸ‘π’‚ + 𝟐
Expression 𝟐: πŸ•π’‚ + πŸ‘(𝒂 + 𝟐)
Expression πŸ‘: πŸ—π’‚ + 𝒂 + πŸ”

2 and 3 with 10a+6

200

In the seventh grade, πŸ“πŸ“% of the students take art class. If 𝟏𝟐𝟏 students in the seventh grade take art class, how many students are there in the seventh grade?

220 students

200

A puppy weighs πŸπŸ’ pounds. How many ounces does the puppy weigh?
(Note: 𝟏 pound = πŸπŸ” ounces.)

224 ounces

200

The cost of 8 mangoes is $20. What is the cost of one mango?

$2.50

200

The table shows the constant relationship between the amounts of vanilla extract and flour needed to make a sugar cookie recipe.
Vanilla Extract : Flour
𝟐 : πŸ’
πŸ’ : πŸ–
𝒙 : πŸπŸ”
𝟏𝟎 : π’š
πŸπŸ” : πŸ‘πŸ
What are the missing values in the table?

x=8, y=20

300

Which expressions are equivalent?

Expression 𝟏: πŸ‘π’‡ + 𝒇 βˆ’ 𝟏
Expression 𝟐: 𝟐(πŸπ’‡) βˆ’ 𝟏
Expression πŸ‘: πŸ“π’‡ + 𝒇 βˆ’ 𝟏

1 and 2 because both equal 4f-1

300
What is 60% of 70?

42

300

How many hours are there in 2 years?

17520

300

The rate for painting per square feet of a wall is $4. Find the total cost of painting a wall of 2500 square feet.

$10,000

300

The number of boys in a class are 36, and the ratio of the boys and girls in the class is 2 : 3. Find the total number of students in the class.

90 students

400

Which expressions are equivalent to πŸ–π’‘? Select ALL that apply.
A 𝑝 + 𝑝 + 𝑝 + 𝑝 + 𝑝 + 𝑝 + 𝑝 + 𝑝
B 𝑝 Γ— 𝑝 Γ— 𝑝 Γ— 𝑝 Γ— 𝑝 Γ— 𝑝 Γ— 𝑝 Γ— 𝑝
C 4(2𝑝)
D 6(2𝑝)
E 7𝑝 + 1

a and c
400

50 is 25% of what number?

200

400

How many inches are there in 62.8 cm(2.54 cm in 1 inch)?

24.7 inches

400

In a bakery the cost of five pastries is $20. Find the cost of each pastry.

$4

400
Reduce this ratio to its lowest term:

24:18

4:3

500

Megan and her family went apple picking at an orchard. She filled one large basket with 8 green apples to make a pie. She also filled 3 small baskets with g green apples each to give to her friends as presents.

Pick all the expressions that represent how many apples Megan picked in all.

a. 11 + g

b. 24g

c. 8 + g + g + g

d. 8 + 3g

c and d

500

2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School. How many do not have red hair?

560

500

How many inches are there in 232 mm? (There are 2.54 cm in 1 inch)

9.13 inches

500

The price of 5 t-shirts is $350. What is the price of each t-shirt?

$70

500

Evelyn bought two fish tanks with a capacity of 15 gallons and 30 gallons each. Write the ratio of the capacity of the smaller tank to the capacity of the larger tank. Reduce the ratio to its lowest term.

15 gal: 30 gal = 1 gal: 2 gal

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