Ratios & Proportional Relationships
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?
6 cups
Evaluate the following expression:
-15
Simplify the following expression by combining like terms:
11x - 12
A circle has a radius of 7 centimeters.
Using Pi: 22/7
what is the approximate circumference of the circle?
44 cm
A standard six-sided die is rolled once. What is the probability, as a fraction in simplest form, of rolling a number greater than 4?
1/3
A bicyclist rides 24 miles in 1.5 hours. What is the cyclist's unit rate in miles per hour?
16 miles per hour.
Convert the fraction 3/8 into a decimal.
Is it terminating or repeating?
.375
Terminating.
Solve for x:
x = 7
Two angles are supplementary.
If Angle A measures 4x
and Angle B measures 80,
find the value of x.
x = 25
A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. If you randomly pick one marble, what is the probability that it is not blue?
9/15
3/5
A store buys a jacket for $40 and marks it up by 35%. What is the retail price of the jacket?
$54.
A submarine is 150 feet below sea level. It ascends 75 feet, then drops another 40 feet. What is the submarine's final elevation relative to sea level?
-115 feet (or 115 feet below sea level).
Factor the following expression completely using the greatest common factor (GCF):
7(2x - 5)
A rectangular prism has a length of 6 inches, a width of 4 inches, and a height of 5 inches. What is its total surface area?
148 square inches.
You flip a fair coin and spin a 4-section spinner (labeled 1, 2, 3, 4). How many total possible outcomes are in this sample space?
8 outcomes.
Write an equation that represents the proportional relationship shown in the table below.
x (Hours) y (Earnings)
3 $45
5 $75
8 $120
y = 15x
Evaluate the following expression, writing your answer in simplest form:
(-2/3) x (5/8) / (1/4)
-(5/3)
Solve the following inequality and state how it would look on a number line:
x > -4
A circular pizza has a diameter of 14 inches. Find the area of the pizza to the nearest square inch.
154 square inches.
A random sample of 50 students out of 400 total middle schoolers were surveyed about their favorite school lunch; 15 picked pizza. Based on this sample, predict how many total students in the school prefer pizza.
120 students.
The scale on a map is 0.5 inches = 20 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them in miles?
140 miles.
Over a 4-day period, a stock's value changed by -3.25, +1.50, -4.75, and -2.10. What was the average daily change in the stock's value?
-2.15
Samantha wants to buy a tablet that costs $220. She has saved $55 and plans to save $15 each week from her allowance. Write and solve an equation to find the minimum number of weeks, w, she needs to save.
w = 11
A triangular prism has a base that is a right triangle with a base of 3 cm and a height of 4 cm. The length (height) of the entire prism is 10 cm. What is the volume of the prism?
60 cubic centimeters
The double dot plot below shows the daily high temperatures (in °F) for two cities over a week. Compare their centers by finding the difference between their medians.
City A: 65, 68, 68, 70, 72, 72, 75
City B: 70, 72, 74, 75, 75, 78, 80
5°F.