All ACT Math Resources
Example Questions
Example Question #1 : How To Multiply Decimals
If Exam 1 is worth 25% of the total grade, Exam 2 is worth 25% and Exam 3 is worth 50%, what is Dave’s final grade?
84
83.5
82
79
85.75
84
Final Grade = Exam1 * 0.25 + Exam 2 * 0.25 + Exam3 * 0.50 =
96*0.25 + 70*0.25 + 85*0.5 =
24 + 17.5 + 42.5 = 84
Example Question #1 : How To Multiply Decimals
A chemistry students needs to dilute some acid. How much water should be added to 2 L of 80% acid solution to yield 50% acid solution?
1.0 L
2.0 L
0.8 L
1.5 L
1.2 L
1.2 L
Pure water would be 0% solution and pure solution would be 100%
V1P1 + V2P2 = VfPf
Let x = amount of water to add
x(0) + 2(0.80) = (x + 2)(0.50) which when solved gives x = 1.2 L
Example Question #1 : Fluently Add, Subtract, Multiply, And Divide Multi Digit Decimals: Ccss.Math.Content.6.Ns.B.3
Kevin is looking at the blueprint of the house he is building. The scale is 1 inch = 5 feet. On paper, the master bedroom is 2.5 inches by 3 inches. What is the actual size of the bedroom?
10 ft x 10 ft
12.5 ft x 15 ft
15 ft x 25 ft
20 ft x 30 ft
7.5 ft x 9 ft
12.5 ft x 15 ft
The given dimensions must be multiplied by 5, so 2.5 inches becomes 12.5 feet, and 3 inches becomes 15 feet.
Example Question #44 : Decimals
If , approximately how many inches are in one meter?
and
Using the factor-label method we get the following equation.
We treat the units as if they are numbers, and can cancel the units from the fractions.
Example Question #2 : How To Multiply And Divide Decimals
A car has gas mileage of 46 miles per gallon. Assume that gas costs $3.90 per gallon. What would be the total cost of gas if the car traveled 1,150 miles?
$97.50
$125.70
$179.40
$100.00
$115.60
$97.50
First find out how many gallons of gas the car consumed while traveling 1150 miles. This can be found out like so:
1150 miles x gallons/46 miles = 25 gallons
Multiplying 25 by $3.90 yields $97.50.
Example Question #261 : Arithmetic
Evaluate
First,
Then,
Example Question #35 : Other Decimals
You bought a dozen eggs marked at and received change from . What is the percent of sales tax?
Set the equation up as
Solve for , which equals
or
Therefore the percent sales tax is:
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