Ratios and Proportions
What is the unit rate if 12 oranges cost $3?
$0.25 per orange.
What is -8 + 3 ?
-5
What is (-6) x 4 ?
-24
Simplify 3(x + 4)
3x+12
Solve 2x = 10
x=5
A recipe uses 2 cups of sugar for every 3 cups of flour. If you use 6 cups of flour, how much sugar will you need?
4 cups of sugar
Simplify 7 - (-4)
11
Simplify 45 / (-5)
-9
Simplify 2x + 4x - 3
6x-3
Solve x + 7 = 12
x=5
A car travels 180 miles in 4 hours. What is the car’s speed in miles per hour?
45mph
Simplify -3.2 + 4.5
1.3
Simplify (-7) x (-3)
21
Write an equivalent expression for 5(x - 2)
5x-10
Solve 3x - 5 = 16
x=7
The ratio of boys to girls in a class is 5:7. If there are 24 girls, how many boys are there?
17 boys
A submarine is at -120 feet. It rises 45 feet. What is its new depth?
-75 feet
Simplify -12 / (-4)
3
Factor 12x + 8
4(3x+2)
Solve 4x + 8 = 20
x=3
A map uses a scale of 1 inch = 10 miles. Two cities are 3.8 inches apart on the map. What is the actual distance?
38 miles
Simplify -5.6 - 2.3
-7.9
A store loses $5 on each item sold. If the store sells 16 items, what is the total loss?
-$80
Rewrite 6x + 9 to show how it can be used to calculate when x = 10
3(2x+3)
A total of $50 is split between two friends, such that one gets $10 more than the other. How much does each friend get?
One friend gets $20, and the other gets $30