Percent Problems
Distance=RT
Work Rate Problems
SOLVING EQUATIONS
Algebraic Expressions
100

 A shirt is on sale for $18 after a 40% discount. What was the original price?

What is $30?

100

Leela walks 2 miles to school at 3 mph and jogs home at 6 mph. How much total time did she spend traveling?

What is 1 hour?

100

Nora can paint a fence in 6 hours. Hughes can paint it in 3 hours. How long will it take them working together?

What is 2 hours?

100

Solve for x:

(2x-5)/3 = (x+4)/2

What is 22?

100

Write as an expression: "Twelve less than w"

What is w−12?

200

A store marks up a jacket by 35% from its $80 wholesale cost, then adds 8% sales tax. What is the final price?

What is $116.64?

200

 Jayden completes a 5-mile course in 40 minutes. What is his speed in miles per hour?

What is 7.5 mph?

200

Machine A fills bottles in 8 minutes. Machine B does it in 12 minutes. Working together, how long does it take?

What is 4.8 minutes (or 4 minutes 48 seconds)?

200

Solve for x:

(x-3)/4=(x+1)/6

What is x=15

200

The sum of four consecutive odd integers where n is the smallest.

What is 4n +12?

300

After a 15% discount, a laptop costs $680. What was the original price?

What is $800?

300

Ms Gentry drives to the beach at 50 mph and returns home at 40 mph. The round trip takes 4.5 hours. How far is the beach?

What is 100 miles?

300

Emme can clean the garage in 20 minutes. With her sister's help, it takes 12 minutes. How long would her sister take alone?

What is 30 minutes?

300

Solve for b:

3b+2b=8a-15c

What is b=(8a-15c)/5?

300

Write and simplify as an inequality: "Five less than four times w is at least 9 more than twice w"

What is w≥7 ?

400

A dealer buys a bike for $350, marks it up 28%, then you pay 6.5% sales tax. What do you pay?

What is $477.12?

400

Mr. Johnston travels "x" miles at 12 mph going uphill and returns at 18 mph. The total trip takes 2.5 hours. Find "x".

What is 18 miles?

400

Three workers can complete a job in these times: Worker A in 45 minutes, Worker B in 60 minutes, and Worker C in 90 minutes. How long working together?

What is 20 minutes?

400
Solve for x: -cx+5x=12

What is x= 12/(5-c)?

400

Write as a compound inequality: "A number t is more than -3 but no greater than 8"

What is −3 < t ≤ 8?

500

A store had a 30%-off sale. After the sale ended, they raised prices by 20%. A sweater now costs $50.40. What was the original pre-sale price?

What is $60?

500

Mrs. Beamer left home at 2:00 PM walking at 3 mph. Her son left at 2:20 PM biking at 8 mph in the same direction. At what clock time did her son catch up?

What is 2:32 PM?

500

 Robot X welds a part in 8 minutes. Robot Y takes 6 minutes. If they work together for 3 minutes, how long will Robot Y need to finish alone?

What is 45 seconds?

500

Solve for y:

(2y-1)/3 - (y+2)/5 = 4 

What is y = 71/7?

500

Write as an inequality: "The difference between twice y and 5 is no more than the sum of y and 12"

What is 2y−5 ≤ y+12?