THEA THEA Algebra & Problem Solving 2 — Questions and Answers
Question 1: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 40 mph
- 60 mph (Correct answer)
- 80 mph
- 120 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 2: What is the value of x in the proportion 3/5 = x/20?
- 10
- 12 (Correct answer)
- 15
- 18
Correct answer: 12
Cross-multiplying: 5x = 60, so x = 12.
Question 3: If a shirt originally costs $40 and is on sale for 25% off, what is the sale price?
- $10
- $25
- $30 (Correct answer)
- $35
Correct answer: $30
25% of $40 = $10 discount, so the sale price is $40 - $10 = $30.
Question 4: Solve the system of equations: x + y = 10 and x - y = 4
- x = 3, y = 7
- x = 7, y = 3 (Correct answer)
- x = 6, y = 4
- x = 8, y = 2
Correct answer: x = 7, y = 3
Adding the equations: 2x = 14, so x = 7; substituting back: 7 + y = 10, so y = 3.
Question 5: What is the value of |-15|?
- -15
- 0
- 15 (Correct answer)
- 225
Correct answer: 15
The absolute value of any number is its distance from zero on the number line, so |-15| = 15.
Question 6: Which of the following is a solution to the equation x² - 9 = 0?
- x = 4
- x = 3 (Correct answer)
- x = 9
- x = 1
Correct answer: x = 3
x² = 9, so x = ±3; both 3 and -3 are solutions, and x = 3 is among the choices.
THEA THEA Algebra & Problem Solving 2
A car travels 240 miles in 4 hours.
What is its average speed in miles per hour?