Unit Rates and Ratios
If you jog 3 miles in ½ hour, what is your unit rate in miles per hour?
6 mph
What is 3/4 + 2/5?
23/20 or 1.15
What is −6+9?
3
A store sells 4 apples for $2. What’s the cost per apple?
$0.50
Simplify: 2x+3x
5x
A hose fills ¾ of a tank in 6 minutes. How much of the tank is filled per minute?
1/8 tank per minute
Subtract: 7.5−3.875
3.625
Solve: −4(−3)
12
You earn $120 in 8 hours. What’s your hourly rate?
$15/hr
Evaluate: 4x−2 when x=3
10
Which is the better deal: 12 oz for $3 or 18 oz for $4.20?
18 oz (23.3¢/oz vs 25¢)
Multiply: -2/3 x 9/5
-6/5 or -1.2
Evaluate: −12+4−(−5)
-3
A recipe calls for ⅔ cup of sugar for one batch. How much sugar for 2½ batches?
5/3 or 1⅔ cups
Distribute and simplify: 3(2x+4)−5
6x + 7
Convert the ratio 5 cups to ¾ gallon into cups per gallon.
6.67 cups per gallon
Divide: -5/5 ÷ 10/3
-1/4
What is the result of (−24)÷6+(−3)
-7
A submarine descends 30 feet per minute. What is its depth after 4.5 minutes?
-135 feet
Write an expression: 5 pens at $1.25 each and a $2.50 notebook
5(1.25)+2.50=6.25+2.50=8.75
If it takes 2⅓ hours to drive 140 miles, what is the average speed in mph?
60 mph
Order: -0.7, -2/3, -3/4
-3/4, -0.7, -2/3
You owe $15, pay $7, then borrow $12. What’s your new balance?
-$20
You lose ⅝ of your money, then gain $12, end with $18. How much did you start with?
$15
Write and simplify: You earn $15/hr and pay a $10 weekly fee. How much after h hours?
15h−10