Verbal vs. Algebraic Equations
Solving Equations
Ratios and Proportions
Percent of Change
Weighted Averages
100
Three times a number t minus twelve equals forty.
What is 3t - 12 = 40
100
Solve: b - 40 = -40
What is b = 0
100
Are the following equivalent: 25/36 and 15/20
What is no
100
Find the percent of change: Original: 50 New: 80
What is 60% increase
100
How many grams of sugar must be added to 60 grams of a solution that is 32% sugar to obtain a solution that is 50% sugar?
What is 21.6 grams.
200
x^2 + y^2 = 8
What is x squared plus y squared is eight
200
Solve: (c - 5)/4 = 3
What is c = 17
200
Are the following equivalent: .1/.2 and .45/.9
What is yes
200
Find the percent of change: Original: 135 New: 90
What is 33% decrease
200
The Quik Mart has two kinds of nuts. Pecans sell for $1.55 per pound and walnuts sell for $1.95 per pound. How many pounds of walnuts must be added to 15 pounds of pecans to make a mixture that sells for $1.75 per pound?
What is 15 pounds
300
Three times the sum of d and four is fifty-four.
What is 3(d + 4) = 54
300
Solve: 4b - 8 = 10 - 2b
What is b = 3
300
Solve: -3/x = 2/8
What is x = -12
300
Find the total price of an item that costs $48.00 and has a tax of 7.5%.
What is $51.60
300
Whole milk is 4% butterfat. How much skim milk with 0% butterfat should be added to 32 ounces of whole milk to obtain a mixture that is 2.5% butterfat?
What is 19.2 ounces
400
8 - 6x = 4 + 2x
What is eight minus six times x is four plus two times x
400
Solve: 5(m + 1) + 6 = 3(4 + m) + 2m - 1
What is m = All Real Solutions
400
Solve: 4/(b - 2) = 4/12
What is b = 14
400
Find the final price given that the current price is $102 and has a discount of 45%.
What is $56.10
400
Two cyclists begin traveling in the same direction on the same bike path. One travels at 15 miles per hour and the other travels at 12 miles per hour. When will the cyclists be 10 miles apart?
What is 3.33 hours.
500
Three plus the sum of the squares of w and x is thirty-two/
What is 3 + w^2 + x^2 = 32
500
Solve: |2x - 5| = 9
What is x = -2 and 7
500
Solve: (3 + y)/4 = -y/8
What is y = -2
500
Find the final price given the television costs $375, discount of 25% and a tax of 6%.
What is $298.13
500
Two trains leave Chicago, one traveling east at 30 miles per hour and one traveling west at 40 miles per hour. When will the trains be 210 miles apart?
What is 3 hours