Rational Numbers
Evaluate: −8 + 13
5
Three notebooks cost $6. At the same rate, what is the cost of one notebook?
$2
Evaluate 3x + 5 when x = 4.
17
Find the area of a triangle with a base of 10 cm and a height of 6 cm.
30 cm²
Find the mean of 6, 8, 10, and 12.
9
Evaluate: (−6)(−7)
42
In the equation y = 4x, identify the constant of proportionality.
4
Use the distributive property to simplify 4(2x − 3).
8x - 12
One angle in a supplementary pair measures 68°. What is the measure of the other angle?
112°
A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of randomly choosing a blue marble?
2/10 or 1/5
Evaluate: 3/4 − 5/6. Give the answer in simplest form.
−1/12
A map uses a scale of 1 inch = 12 miles. How many actual miles does 3.5 inches represent?
42 miles
Solve: 5x − 7 = 18
x = 5
Find the circumference of a circle with a diameter of 10 cm. Use 3.14 for π.
31.4 cm
Find the median of 4, 7, 8, 11, 15, and 19.
9.5
Evaluate: −2.5 ÷ 0.5
-5
A backpack costs $80. What is a 15% discount on the backpack?
$12
Solve: 3(x + 2) = 2x + 11
x = 5
A rectangle has an area of 24 square units. Every side length is doubled. What is the area of the new rectangle?
96 square units
A fair coin is flipped and a fair six-sided number cube is rolled. What is the probability of getting heads and an even number?
1/4
At sunrise, the temperature was −3°C. It rose 7.5°C and then fell 4.25°C. What was the final temperature?
0.25°C
A $60 jacket is discounted by 25%. An 8% sales tax is then applied to the discounted price. What is the final cost?
$48.60
A bike rental costs $12 plus $3.50 per hour. Write and solve an inequality to find the greatest whole number of hours you can rent the bike with $40.
12 + 3.5h ≤ 40; h ≤ 8, so 8 hours
A rectangular prism is 8 cm long, 5 cm wide, and 3 cm high. What is its volume?
120 cm³
In a random sample of 50 students, 18 prefer soccer. Based on this sample, about how many of 300 students would be expected to prefer soccer?
108 students