Computation and Algebraic Reasoning
What is the absolute value of -7?
7
Simplify: 8 × (3 + 2).
8 × 5 = 40
Q: What is the area of a rectangle with length 8 cm and width 3 cm?
A: 24 cm²
Q: What is the mean of the following set of numbers: 4, 8, 6, 10, 2?
A: (4 + 8 + 6 + 10 + 2) ÷ 5 = 6
Q: What is the prime factorization of 36?
A: 2² × 3²
Order the following numbers from least to greatest: 0.75, 5/8, 0.7
5/8 (0.625), 0.7, 0.75
Solve for x: 5x = 25.
x = 5
Q: Convert 5 feet to inches.
A: 60 inches
Q: If you save $15 each week, how much will you have saved after 12 weeks?
A: $180
Q: Solve: 3/4 ÷ 2/3.
A: 3/4 × 3/2 = 9/8
1 and 1/8
Identify the set(s) to which the number -3 belongs: whole numbers, integers, rational numbers.
Integers, Rational Numbers
2³ × 5
8 × 5 = 40
Q: Find the volume of a cube with side length 4 cm.
A: 4³ = 64 cm³
Q: A store offers a 20% discount on a $50 item. What is the sale price?
A: $50 - ($50 × 0.2) = $50 - $10 = $40
Q: Graph the point (–3, 4) on a coordinate plane. In which quadrant is the point located?
A: Quadrant II
Represent 3/5 as a decimal and a percent.
0.6, 60%
Q: Solve the inequality: 3x - 4 > 11.
A: x > 5
Q: The perimeter of a square is 36 cm. What is the length of one side?
A: 9 cm
Q: If the probability of rain tomorrow is 0.3, what is the probability that it will not rain?
Answer in Decimal or Percent
A: 1 - 0.3 = 0.7
70%
Q: A recipe calls for 2 cups of flour to make 16 cookies. How much flour is needed to make 40 cookies?
A: 5 cups (since 40 is 2.5 times 16, multiply 2 by 2.5)
Solve for x: |x - 4| = 7.
x = 11 or x = -3
Q: The sum of three consecutive integers is 72. What are the integers?
A: 23, 24, 25
Q: A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Is it a right triangle?
(Pythagorean Theorem)
A: Yes, because 7² + 24² = 49 + 576 = 625 = 25²
Q: You deposit $500 in a savings account with an annual interest rate of 4%. How much interest will you earn in one year?
A: $500 × 0.04 = $20
Q: The ratio of boys to girls in a class is 3:4. If there are 21 boys, how many girls are there?
A: (21 ÷ 3) × 4 = 28 girls