Integers & Rational Numbers
What is −8 + 15?
7
Solve: x + 9 = 23
x = 14
What is 25% of 80?
20
Find the area of a rectangle that is 12 cm long and 5 cm wide.
60 cm²
What is the probability of rolling an even number on a fair six-sided die?
1/2 or 50%
What is (−6) × (−9)?
54
Simplify: 4(2x − 3) + 5x
13x − 12
A car travels 180 miles in 3 hours. What is its average speed?
60 mph
A triangle has angles measuring 45° and 65°. What is the third angle?
70°
Find the mean of 6, 8, 10, 12, and 14.
10
Evaluate −24 ÷ 3 + (−5).
-13
Solve: 3x − 7 = 2x + 11
x = 18
A $60 jacket is discounted 30%. What is the sale price?
$42
Find the volume of a rectangular prism measuring 8 cm × 5 cm × 3 cm.
120 cm³
A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of selecting a blue marble?
3/10 or 30%
Order from least to greatest: −0.75, 1/2, −2/3, 0.2.
−0.75, −2/3, 0.2, 1/2
Solve: 5(2x − 1) = 3x + 23
X = 4
A recipe requires 3 cups of flour for 8 servings. How many cups are needed for 20 servings?
7.5 cups
A right triangle has legs measuring 9 cm and 12 cm. What is the length of the hypotenuse?
15 cm
Find the median and interquartile range of 3, 5, 7, 8, 10, 12, 15.
Median = 8; IQR = 7
A submarine is at −125 feet. It rises 48 feet and then descends 73 feet. What is its final depth?
-150 ft.
Gym A charges $25 to register and $15 per month. Gym B charges $10 to register and $18 per month. After how many months will their costs be equal?
5 months
A town has 500 residents. Its population increases 20% one year and decreases 20% the next. What is the final population?
480 residents
A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume in terms of pi.
160pi cm³
A bag contains 4 red and 6 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red?
2/15