Fractions & Decimals
Simplify: What is 12/16 in simplest form?
3/4
A recipe calls for 3 eggs to 2 cups of flour. What is the ratio of eggs to flour if the recipe is doubled?
6 eggs to 4 cups of flour or 3:2
Simplify: 3(2x - 5) + 4x
10x - 15
In a triangle, the first angle is 50°, and the second angle is 75°. What is the measure of the third angle?
55°
Find the mean of the following data set: 15, 25, 35, 45, 55, 65
40
Convert 0.75 into a fraction.
3/4
If 7 pencils cost $4.20, how much will 15 pencils cost?
$9
Solve: 2x - 4 = 10
x = 7
The area of a trapezoid is 48 cm², and the lengths of the two parallel sides are 8 cm and 12 cm. What is the height?
4.8 cm
What is the median of the data set: 5, 7, 12, 14, 20, 22, 30?
14
Add: 2/5 + 3/10
7/10
Solve: If the ratio of cats to dogs is 4:7, and there are 28 dogs, how many cats are there?
16 cats
Solve: 5x - 2 = 3x + 6
x = 4
In a right triangle, one angle is 90°, and the other angle is 55°. What is the measure of the third angle?
35°
What is the mode of the data set: 1, 4, 4, 5, 5, 5, 6?
5
Divide: 3.6 ÷ 0.6
6
A plane travels 1,200 miles in 5 hours. What is its average speed?
240 mph
Write an expression for the following: "The sum of three times a number and twice the number, minus 5."
3x + 2x - 5 or 5x - 5
The area of a triangle is 84 cm², and its base is 14 cm. What is the height?
12 cm
What is the range of the data set: 5, 9, 12, 18, 21, 25?
20
Order from least to greatest: 3/4, 0.7, 5/8
5/8, 0.7, 3/4
A factory produces 180 units in 6 hours. What is the unit rate for the number of units produced per minute?
0.5 units per minute
Solve: 4(2x + 1) - 3(x - 2) = 18
x = 3
The area of a parallelogram is 72 cm², and its base is 12 cm. What is the height?
6 cm
If a number is added to the data set 4, 6, 8 to make the mean 7, what is the number?