Ratios & Proportional Relationships
A recipe calls for 2 cups of sugar for every 3 cups of flour. What is the ratio of sugar to flour?
2:3
What is –3 + 7?
4
Simplify 3x + 5 – x + 2
2x + 7
Find the area of a rectangle with length 8 units and width 3 units.
24 square units
What is the mode of the following data set?
3, 5, 2, 3, 7, 3, 6
3
Juan drives 180 miles in 3 hours. What is his speed in miles per hour?
60 miles per hour
What is –8 – (–5)?
-3
Evaluate 4a – 3 when a = –2
-11
A blueprint shows a room is 5 inches long. If the scale is 1 inch = 4 feet, what is the actual length of the room?
20 feet
Find the mean of the numbers:
4, 8, 6, 2, 10
6
A store sells 4 notebooks for $10. If the relationship is proportional, how much will 10 notebooks cost?
$25
What is –6 × 4 × –2?
48
Solve x + 9 = 15
x = 6
Find the surface area of a cube with side length 6 cm.
216 cm2
What is the median of this data set?
12, 18, 10, 16, 14
14
The graph below shows the amount of water (in liters) flowing from a faucet over time. If the point (3, 12) is on the graph, what is the constant of proportionality?
4 liters per minute
What is –12 ÷ 3/4?
-16
Solve 2x – 4 = 10
x = 7
A rectangular prism has a length of 4 cm, width of 3 cm, and height of 5 cm. What is its volume?
60 cm3
A survey finds that 3 out of 20 students prefer vanilla ice cream. Predict how many out of 180 students at the school prefer vanilla.
A recipe uses 2 eggs for every 5 cups of flour. If you want to make a larger batch using 20 cups of flour, how many eggs will you need?
8 eggs
Devin lost $8.25 each day for 4 days. How much money did he lose in total?
$33
Jenna has $50. She spends $8 on lunch and then buys 3 notebooks that cost the same amount. Write and solve an equation to find the cost of each notebook.
Equation: 3x + 8 = 50
Solution: x = 14
A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. What is the probability of pulling a red, then a blue marble without replacement?
1/15
Which of the following data sets has a higher mean? By how much?
Set A: 10, 12, 14, 11, 13
Set B: 15, 17, 14, 18, 16
Set B by 4