Ratios & Proportions
What is the unit rate (miles per hour) if a car travels 120 miles in 2 hours?
60 miles/hour
Add: (-7) + 12 = ?
4
Simplify: 5x + 3x
8x
What is the area of a rectangle with length 9m and width 5m?
45 meters squared
If you toss a fair coin once, what is the probability of getting heads?
1/2 or 50%
A recipe uses 3 cups of flour for every 4 cups of sugar. If you want to make a batch using 9 cups of flour, how many cups of sugar do you need?
12 cups
Multiply: (-3) × 8 = ?
-24
Solve for x: 4x + 5 = 21
x= 4
Find the area of a triangle with base 5in and height 8in?
20 in squared
A spinner has 4 equal sections numbered 1–4. What is the probability of spinning a 3 or a 4?
2/4 or 1/2
On a map, 2 inches represents 50 miles. If two cities are 7 inches apart on the map, how many miles apart are they?
175 miles
Divide and simplify: −24/6
-4
Expand and simplify: 3(2x - 4) + 5
6x - 7
Two angles are supplementary. One angle measures 42°. What is the measure of the other angle?
138 degrees
Find the mean of these numbers 8, 15, 10,13 and 14
12
A map uses a scale of 1 inch : 15 miles. On the map two towns are 3.2 inches apart. What is the actual distance in miles?
48 miles
Write the decimal form of the rational number 7/12 to at least four decimal places (use repeating or rounded form).
0.5833
Solve: 2x - 3 < 9
x < 6
A scale drawing uses scale 1 cm : 6 m. A wall in the drawing measures 4.5 cm. What is the actual length in meters?
27 m
If a student rolls a dice what is the probability they roll a 5?
1/6
If y is proportional to x and y = 12 when x = 3, write the equation relating y and x.
y = 4x
Evaluate: If p = -5 and q = -2, what is p - q? Then rewrite p - q as p + (–q)
-5 - (-2) = -3 and -5 + (2) = -3
Write and solve a real-world inequality: You earn $8 per hour and want to earn at least $150 this week from tutoring. How many hours must you work?
8h ≥ 150 → h ≥ 18.75 hours, so at least 19 hours to meet goal
A right rectangular prism has length 8 cm, width 3 cm, and height 5 cm. Find the volume.
120 cm cubed
A bag contains 3 red, 4 blue, and 3 green marbles. If one marble is drawn at random, what is the probability it is blue?
4/10 or 2/5