Add & Subtract Rational Numbers
Evaluate: −8+13
5
Evaluate: (−6)(4)
−24
Evaluate: −7+12−3
2
A car travels 180 miles in 3 hours. What is its unit rate?
60 mph
If 3 pencils cost $6, how much will 5 pencils cost at the same rate?
$10
Evaluate: 7−(−9)
16
Evaluate: (−42)÷(−7)
6
Your bank account has $35. You make a $48 purchase. What is the new balance?
−$13
Six notebooks cost $15. What is the cost per notebook?
$2.50
The equation y-4x represents a proportional relationship. What is the constant of proportionality?
4
The temperature was −4∘F. It increased by 11∘. What is the new temperature?
7°F
Evaluate: −43(20)
−15
Evaluate: 4.5−8.2+2.7
−1
A runner travels 7.5 miles in 1.5 hours. What is the unit rate?
5 mph
A car travels 150 miles on 5 gallons of gas. Write an equation relating miles y to gallons x.
y=30x
Evaluate: −12.5+7.8
−4.7
Evaluate: −5.6÷0.7
−8
A football team gains 12 yards, loses 17 yards, and gains 8 yards. What is the team's total change in yardage?
3 yards
A machine produces 225 bottles in 15 minutes. How many bottles does it produce per minute?
15 bottles/minute
Determine whether the table represents a proportional relationship: x:2,4,6,8: y:7,14,21,28
Yes; y-3.5
A submarine is at −125 feet. It rises 48 feet and then descends 27 feet. What is its final position?
−104 feet
A scuba diver descends 7.5 feet per minute for 8 minutes. What integer/rational number represents the total change in position?
−60 feet
DAILY DOUBLE: A hiker begins at an elevation of 125 feet. She descends 38.5 feet, climbs 17.25 feet, and then descends another 24.75 feet. What is her final elevation?
79 feet
A recipe uses 2 1/2 cups of flour to make 1 1/2 batches of muffins. How many cups of flour are needed per batch?
1½ cups per batch
Company A charges according to y=2.50x Company B charges $18 for 6 items. Which company has the lower unit rate?
Company A: $2.50/item; Company B: $3/item. Company A is cheaper.