Ratios/Proportions
There are 6 red marbles and 9 blue marbles. What is the simplified ratio of red to blue?
2:3
What is 10% of 250?
25
Order these from least to greatest: –1, 0, 1/2, –1/2
–1, –1/2, 0, 1/2
Solve: x/2 = 6
x = 12
How many degrees are in a triangle?
180°
A recipe uses 3 cups of flour for every 4 cups of sugar. How many cups of flour are needed for 12 cups of sugar?
9 cups
A jacket costs $60 and is on sale for 20% off. What is the sale price?
$48
What's -3 - 5?
-8
2x – 5 = 9
x = 7
A rectangular prism has a length of 8, width of 3, and height of 2. What is its volume?
48 units³
You can buy 3 notebooks for $7.50. At the same rate, how much would 8 notebooks cost?
$20.00
A student scored 17 out of 20 on a quiz. What is their percentage score?
85%
If you multiply two negative rational numbers, is the result positive or negative?
positive
Solve: 2(x – 3) = 10
x = 8
What type of triangle has side lengths 7 cm, 7 cm, and 4 cm?
Isosceles
A map scale shows that 1 inch represents 50 miles. How many miles does 3.5 inches represent?
175 miles
A $120 item is discounted by 15%. What is the new price?
$102
Simplify: -9 - -10 - 8 + 2 - 5
Answer: -10
A movie ticket costs $12. You also buy x snacks that cost $3 each. If you spent $27 total, how many snacks did you buy?
5 snacks
A rectangular prism has a volume of 72 in³. Its base measures 4 in × 3 in. What is the height?
6 inches
A train travels 240 miles in 3 hours and 45 minutes. What is its average speed in miles per hour?
64 mph
A computer originally costs $800 and is discounted 15%, then taxed 8%. What’s the final price (to the nearest dollar)?
$734
Step 1: $800 – (0.15*800) = $680
Step 2: $680 + (0.08*680) = $734.40
A submarine is at –120 feet below sea level. It ascends 45 feet, then descends 80 feet. What is its final position relative to sea level?
–155 feet
A taxi charges a $4 base fee plus $2.50 per mile. If a ride costs $29, how many miles did the person travel?
10 miles
Ms. Vasquez is designing a prize box for next year’s class. The box will be a rectangular prism that’s 7 cm long, 5 cm wide, and 4 cm tall. She wants to wrap the entire box in colorful contact paper—no sides left uncovered. How many square centimeters of contact paper does she need to cover the whole box?
166 cm²