Inequalities
Proportions
Fractions, Decimals, Percents
Percentage
Discounts and Finding Partial/Whole Amounts
100

Rewrite the sentence as an inequality:
A number divided by 9 is at most 24.

y/9 ≤ 24

100
A gym has yoga classes. Each class has 11 students. If there are c classes, write an equation to represent the total number of students s taking yoga.

s = 11c
or
11c = s

100

Write 8% as a fraction. Do not simplify your answer.

8/100

100

What is 7% of 41?

2.87

100

An item on sale costs 25% of the original price. The original price was $45. What is the sale price?

$11.25

200

Write an inequality to represent the situation:
To ride a roller coaster, a visitor must be taller than 60 inches.
use h to represent the height (in inches) of a visitor able to ride.

h ≥ 60

200

Solve for w.

w/8 = 9/12

w = 6

200

Write 2.5 as a percentage.

250%

200

33 is what percent of 60?

55%

200

The price of an item has been reduced by 45%. The original price was $65 dollars. What is the price of the item now?

$35.75

300

Solve for u
-2.3 > 0.9 + u

-3.3 > u
or
< -3.2

300

There are 3 red marbles and 8 blue marbles in a bag.
What is the ratio of blue marbles to all the marbles in the bag?

8:11

300

Write 7 1/2% as a decimal (not as a percentage).

0.075

300

85% of 80 is what number?

68

300

A desk is on sale for $335, which is 33% less than the regular price. What is the regular price?

500

400

Solve for x
-8 < 6+ 4

-2 < x
or
x > -2

400

A triangle ABC has side lengths
AB = x
BC = 56
CA = 49

A Triangle XYZ has side lengths
XY = 5
YZ = 8
ZX = 7
What is side length AB?

AB = 35

400

Write 0.6% as a decimal.

0.06

400

In a recent year, 19.6% of all registered doctors were female. If there were 46,500 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

237,245 registered doctors.

400

Christine bought a sofa on sale for $663. This price was 68% of the original price. What was the original price?

$975

500

Solve for w
w/-4 ≥ 11

≤ -44
or
-44 ≥ w

500

Gary's Gator Juice is a combination of lime juice and cherry juice. It contains 5 liters of lime juice for every 7 liters of cherry juice. In order to make 792 liters of Gary's Gator Juice, how many liters of cherry juice are needed?

462 Liters of Cherry Juice

500

Write 7/20 as a decimal.

0.35

500

An international company has 19,700 employees in one country. If this represents 17.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.

110,056 employees

500

A store is having a sale, offering a 50% discount off the regular price of a tablet. Jenny also has a coupon for an additional 10% off the sale price. How much would she pay for the tablet with these discounts combined?

$337.05

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