THEA THEA Algebra & Problem Solving 2

Question 1

A car travels 240 miles in 4 hours. What is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

Average speed = distance ÷ time = 240 ÷ 4 = 60 mph.

Question 2

What is the value of x in the proportion 3/5 = x/20?

Accepted Answer

12

Answer

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?

Accepted Answer

$30

Answer

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

Accepted Answer

x = 7, y = 3

Answer

Adding the equations: 2x = 14, so x = 7; substituting back: 7 + y = 10, so y = 3.

Question 5

What is the value of |-15|?

Accepted Answer

15

Answer

The absolute value of any number is its distance from zero on the number line, so |-15| = 15.

THEA Test Practice Test