Negative Numbers and Absolute Value
|−14| = ?
14
What is 3/4 of 48?
36
3:7 = 12:?
28
(2/3)x = 18
x = 27
Order from least to greatest: −5, |−3|, −(−2), −7
−7, −5, 2, 3
What is 20% of 65?
13
A smoothie has 2 cups of mango for every 3 cups of pineapple. If you use 9 cups of pineapple, how many cups of mango do you need?
6 cups
(3/4)x + 5 = 14
x = 12
A submarine is at −80 feet. It rises 35 feet, then descends 50 feet. What is its final depth?
−95 feet
30% of a number is 21. What is the number?
70
In a class, the ratio of students who walk to school to students who take the bus is 4:5. There are 36 students total. How many walk?
16 walkers
(1/2)x + 3 = (3/4)x − 5
x = 32
If |x| = 9, what are all possible values of x? Now, what are all possible values of x if |x + 1| = 9?
x = 9 or −9; x = 8 or −10
A price increased from $80 to $100. What is the percent increase?
25%
A paint color is made by mixing red and blue in a ratio of 3:8. You have 18 cups of red paint. How many cups of blue do you need? Then — if you add 6 more cups of red, how much blue do you need to add to keep the same ratio?
18 cups red → 48 cups blue
6 more red → 16 more blue
Marcus earns $12 per hour. He spent 2/5 of his earnings on food and had $36 left. How many hours did he work? Write the equation and solve.
5 hours