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Writing Equations
Equations
Absolute Value
Proportions and Percent of Change
Literal Equations and Weighted Averages
100
Translate the sentence into an equation: Two added to three times a number "n" is the same as 18.
What is 3m + 2 = 18
100
Solve: -13z = 39
What is z = 3?
100
Evaluate the expression if a = 2 and b = -3 and c = -4: |a + b| - c
What is 5?
100
A dripping faucet wastes 3 cups of water every 24 ours. How much water is wasted in one week?
What is 21 cups?
100
Solve for n: d + 3n = 1
What is n = 1-d over 3
200
Translate the sentence into a formula: The perimeter P of a triangle is equal to the sum of the lengths of sides, a, b, and c.
What is P = a + b + c
200
Solve the equation: 8 - (-n) = 1
What is n = -7?
200
Solve the equation: |c -3| = 1
What is {2,4}?
200
The average price of 5 gallons of gas in the United States was $14.46. What was the price for 16 gallons of gas?
What is $46.27?
200
Solve for c: 8c + 6j = 5p
What is c = 5p - 6j over 8
300
Translate the equation into a sentence: g + 10 = 3g
What is g plus 10 is the same as 3 times g.
300
Solve the equation: 8q + 12 = 4(3+ 2q)
What is all real numbers?
300
Solve the equation: |2g - 5| = 9
What is {-2, 7}?
300
Find the final price: Printer costs $255, Discount is 30%, Tax is 5.5%
What is $188.32?
300
Delectable Cookie Company sells chocolate chips cookies for $6.95 per pound and white chocolate cookies for $5.95 per pound. How many pounds of chocolate chip cookies should be mixed with 4 pounds of white chocolate cookies to obtain a mixture that sells for $6.75 per pound.
What is c = 16? 16 pounds of chocolate chip cookies must be mixed with 4 pounds of white chocolate cookies.
400
Write a one-variable equation to represent this situation: Katie is twice as old as her sister Mara. The sum of their ages is 24.
What is m + 2m = 24 or 3m = 24
400
Solve the equation: -6y - 3 = 3 - 6y
What is no solution?
400
Solve the equation: |3t +6| = -9
What is no solution?
400
Find the final price: Television is $375, Discount is 25%, Tax is 6%
What is $298.13?
400
Keith wants to create a drink that is 40% juice. How much of a 10% juice solution should he add to 100 milliliters of 100% grape juice to obtain the 40% mixture?
What is 200 mL?
500
Deanna and Pietra each go for walks around a lake a few times per week. Last week, Deanna walked 7 miles more than Pietra. If Pietra walked 9 miles during the week, how many miles did Deanna walk?
What is 16 miles? Using the equation T = p + (p = 7)
500
Solve the equation: 2(a-8) + 7 = 5(a+2) - 3a - 19
What is all real numbers?
500
Taisha uses the elliptical cross trainer at the gym. Her general gaol is to burn 280 calories per workout, but she varies as much as 25 calories from this amount on any given day. Write an solve an equation to find the maximum and minimum number of calories Taisha burns on the cross trainer.
What is |c - 280| = 25. Min = 255, Max = 305
500
Mr. Lopez plans on purchasing a used car for $8400. He will receive a 15% discount and then will have to pay a 5.5% sales tax. What will be the final price of the car?
What is $7532.70?
500
Two trains leave Raleigh at the same time, one traveling north, and the other south. The first train travels 50 miles per hour and the second travels 60 miles per hour. In how many hours will the trains be 275 miles apart?
What is 2.5 hours?