Free practice questions/GMAT Focus Edition
GMAT Focus Edition — Algebra: Linear Equations & Inequalities
6 free practice questions with full explanations.
This is a sample. Create a free account for the full GMAT Focus Edition Q-bank, timed mock exams, and daily practice.
Start freeQuestion 1
Solve for x: 3x + 7 = 22.
- A) 3
- B) 4
- C) 5
- D) 6
Show answer & explanation
Correct answer: C) 5
3x = 22 - 7 = 15, so x = 15/3 = 5.
Question 2
If 5(x - 3) = 2x + 6, what is x?
- A) 5
- B) 6
- C) 7
- D) 8
Show answer & explanation
Correct answer: C) 7
5x - 15 = 2x + 6, so 3x = 21, and x = 7.
Question 3
If 2x - 5 > 9, what is the smallest integer value of x that satisfies the inequality?
- A) 6
- B) 7
- C) 8
- D) 9
Show answer & explanation
Correct answer: C) 8
2x > 14, so x > 7. The smallest integer greater than 7 is 8.
Question 4
Solve the system: x + y = 10 and x - y = 4. What is the value of x?
- A) 5
- B) 6
- C) 7
- D) 8
Show answer & explanation
Correct answer: C) 7
Adding the two equations eliminates y: 2x = 14, so x = 7.
Question 5
For what value(s) of x is the equation 4x + 3 = 3x + 3 + x true?
- A) x = 0 only
- B) x = 1 only
- C) All real numbers
- D) No solution
Show answer & explanation
Correct answer: C) All real numbers
Simplifying the right side: 3x + 3 + x = 4x + 3, which is identical to the left side. The equation holds for every value of x.
Question 6
If 3x - 4y = 12 and y = 0, what is x?
- A) 2
- B) 3
- C) 4
- D) 5
Show answer & explanation
Correct answer: C) 4
With y = 0, 3x = 12, so x = 4.
Want more Algebra: Linear Equations & Inequalities practice?
Create a free account to unlock the full GMAT Focus Edition Q-bank and timed mock exams — no card required.
Create free account