Fractions, Decimals, and Percents
Write 11/40 as a decimal.
0.275
Simplify
-4+7- 9
-6
Write 84:126 in simplest form.
2:3
Simplify:
8x - 3x + 5 - 12
5X - 7
Find the area of a triangle with a base of 15 cm and a height of 8 cm.
60 cm2
Which is greater?
7/15 or 0.47?
0.47 is greater!
Evaluate:
-3(5-8)+7
16
A car travels 234 miles on 9 gallons of gas. What is its unit rate in miles per gallon?
26 miles per gallon
Evaluate:
2x2 - 5x + 7 when x = -3.
40
A circle has a diameter of 20 cm. Find its circumference (use pi = 3.14).
62.8 cm
A jacket costs $72 after a 25% discount. What is the original price?
$96
Simplify
|-12+4| + |7-20|
21
A student solved a problem incorrectly:
“If 3 notebooks cost $4.50, then 10 notebooks cost $13.50.”
Explain why this is wrong and find the correct cost.
Error: scaled additively.
Correct: unit price = $4.50/3=$1.50
10 x $1.50=$15.00
Solve:
9x - 14 = 5x + 18.
X=8
A box is 5 cm × 6 cm × 12 cm.
Find its volume.
360 cm3
If 18 is 12% of a number, what is the number?
150
The temperature was -8 degrees in the morning. It rose 15 degrees by noon, then dropped twice as far by midnight. What is the midnight temperature?
-23
Two gears rotate in a 7:3 ratio. If the smaller gear spins 96 times, how many times does the larger gear spin?
224 spins
The sum of twice a number and three times the same number is 85. What is the number?
17
A cube has a surface area of 216 cm². Find its volume.
216 cm3
A school club has 24 boys and 36 girls. If 25% of the boys and 50% of the girls show up to a meeting, what fraction of the entire club attends?
2/5
A diver starts at 40 feet below sea level, ascends 18 feet, then descends twice the amount he ascended. Where is the diver now relative to sea level?
58 feet below sea level (-58 ft)
A mixture is made by combining two liquids in a 5:3 ratio. If the total mixture is 64 liters, how many liters of each liquid are there?
40 L and 24 L
The perimeter of a rectangle is 66. The length is 3 more than twice the width. Find the dimensions.
Width= 10
Length= 23
The sum of three consecutive odd integers is 159.
Find the integers.
51,53, and 55