Ratios & Rates
A recipe calls for 3 cups of flour to 2 cups of sugar. Write the ratio of flour to sugar in three different ways
3 to 2
3:2
3/2
Divide the following fractions and write the answer in simplest form: ¾ divided by 2/3
9/8
1 1/8
Evaluate the expression 34 - (5 x 2)
71
Find the area of a triangle with a base of 10 centimeters and a height of 7 centimeters.
Area = 35 square centimeters
Find the mean of the following data set: 8, 12, 15, 9, 11
Mean = 11
A car travels 150 miles in 3 hours. What is the car's unit rate in miles per hour?
50 miles per hour
Find the greatest common factor (GCF) of 24 and 36.
GCF is 12
Write an algebraic expression for the phrase: "12 less than a number x"
x - 12
Find the area of a parallelogram with a base of 12 inches and a height of 5 inches.
Area = 60 square inches.
Find the median of the following data set: 5, 12, 3, 9 ,7, 11
Median = 8
A store sells a 6-pack of soda for $3.00 and a 12-pack for $5.40. Which is the better buy based on unit price?
The 12 pack.
Find the least common multiple (LCM) of 6 and 8.
LCM is 24.
Use the distributive property to simplify the expression 4(2x+5)
8x+20
A rectangular prism has a length of 5 centimeters, a width of 3 centimeters, and a height of 4 centimeters. What is its volume?
Volume = 60 cubic centimeters.
Identify the mode and the range of this data set: 4, 7, 4, 9, 12, 4, 10.
Range = 8
There are 12 boys and 18 girls in a class. What percent of the class is made up of boys?
40%
Solve the following decimal problem: 45.6 x 1.2
54.72
Solve for y in the equation: y + 14.5 = 32
y = 17.5
Plot the points A (2,3) B(2,-2) and C (-3,-2) on a coordinate plane. What is the length of side AB?
What is a statistical question? Give one example.
A question that anticipates variability in the data.
Example:
How many hours of sleep do 6th graders get per night?"
An electronics store marks down a $400 tablet by 15%. What is the sale price of the tablet?
$340
Order these numbers from least to greatest: -3.5, 2, -4, 0.75, -1/2
-4, -3.5, -1/2, 0.75, 2
Solve for m in the equation: m/6 = 18
m = 108
A cube has a side length of 3 inches. What is the total surface area of the cube?
Surface Area = 54 square inches.
A data set consists of the numbers 2, 4, 5, 7, 9, 12, 15. What is the interquartile range (IQR) of this data?