ACT College Entrance Exam Sample Test

Try 5 free practice questions with instant feedback. See how ready you are.

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Sample Questions

Question 1

If 3x - 7 = 14, what is the value of x?

Answer: x = 7. Add 7 to both sides to get 3x = 21, then divide by 3.

Question 2

What is the slope-intercept form of a linear equation, and what does each variable represent?

Answer: y = mx + b, where m is the slope and b is the y-intercept.

Question 3

How do you find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂)?

Answer: Use the slope formula: m = (y₂ - y₁) / (x₂ - x₁).

Question 4

When you multiply or divide both sides of an inequality by a negative number, what must you do?

Answer: You must flip (reverse) the direction of the inequality sign.

Question 5

What is the solution to the system of equations: x + y = 10 and x - y = 4?

Answer: x = 7, y = 3. Add the equations to get 2x = 14, so x = 7; substitute to find y = 3.