← GRE Algebra & Equations Mastery

GRE Graduate Record 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 = 2x + 5, what is the value of x?

Answer: x = 12. Subtract 2x from both sides to get x - 7 = 5, then add 7 to both sides.

Question 2

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

Answer: The equation simplifies to a true statement for all values of the variable, such as 0 = 0, meaning every real number is a solution.

Question 3

How do you find the x-intercept of a linear equation in the form y = mx + b?

Answer: Set y = 0 and solve for x, giving x = -b/m.

Question 4

If 5(2x - 3) = 4(x + 1) + 2x, how many solutions does this equation have?

Answer: No solution. Expanding gives 10x - 15 = 6x + 4, then 4x = 19... wait — expanding correctly: 10x - 15 = 4x + 4 + 2x = 6x + 4, so 4x = 19, x = 19/4. One unique solution.

Question 5

What is the slope of a line passing through the points (2, 5) and (6, 13)?

Answer: Slope = (13 - 5)/(6 - 2) = 8/4 = 2.