← SAT Algebra & Functions Mastery

SAT 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 3(x - 4) = 2x + 5, what is the value of x?

Answer: x = 17. Distribute to get 3x - 12 = 2x + 5, then subtract 2x and add 12 to both sides.

Question 2

What does it mean for a linear equation to have 'no solution'?

Answer: A linear equation has no solution when simplification yields a false statement (e.g., 3 = 5), meaning the lines are parallel and never intersect.

Question 3

What does it mean for a linear equation to have 'infinitely many solutions'?

Answer: A linear equation has infinitely many solutions when simplification yields a true statement for all values (e.g., 5 = 5), meaning both sides are identical expressions.

Question 4

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 (rate of change) and b is the y-intercept (the value of y when x = 0).

Question 5

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

Answer: Use the slope formula: m = (y₂ - y₁) / (x₂ - x₁). This measures the rise over run between the two points.