Question 1 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationEasy
If $2x + 3 = 7 , what is the value of $x$?
Official Correct Answer: A. Subtract 3 from both sides: $2x = 4$. Divide both sides by 2: $x = 2$. The correct answer is A.
Algebra • Linear Equations Practice Drills (77 Qs)• Official Answer Keys
CAT Linear Equations Practice Questions (75+ Questions)
Simultaneous Equations, Word Problems, Consistent & Inconsistent Systems, and Infinite Solutions Criteria
77 Total Questions
MCQ: 62 (+3 / -1)
TITA: 15 (0 Negative Penalty)
Core Formulas & Shortcut Matrix: Linear Equations Practice Drills
Consistency Criteria (2 Variables)Formula #1
≠ $ \implies \text{No Solution (Parallel)}
If all three ratios equal: infinitely many solutions (coincident).
Exam Hall Traps & Speedbreakers to Avoid
- •Not checking whether constraints require variables to be positive integers.
Bite-Sized Practice Sets (7 Modules Available)
Authentic CAT BlueprintSolve in structured 20–25 question practice sets with instant accuracy benchmarking and solution checks. Sets 01 & 02 are completely free.
12 QuestionsFree Pass
Set 01: Linear Equation
Difficulty: Easy
9 QuestionsPro Pass
Set 02: Linear Equation
Difficulty: Moderate
13 QuestionsPro Pass
Set 03: Linear Equation
Difficulty: Moderate
9 QuestionsPro Pass
Set 04: Linear Equation
Difficulty: Easy
13 QuestionsPro Pass
Set 05: Linear Equation
Difficulty: Easy
13 QuestionsPro Pass
Set 06: Linear Equation
Difficulty: Easy
8 QuestionsPro Pass
Set 07: Linear Equation
Difficulty: Easy
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Official Exam Questions & Explanations (25 of 77)
Sorted in official convenor sequenceQuestion 2 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If and $x - 2y = -4 , what is the value of $x$?
Official Correct Answer: C. Add the equations: $4x = 18$. Divide both sides by 4: $x = 4.5$. The correct answer is C.
Question 3 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationEasy
If $2x + 3 = 9 , what is the value of $x$?
TITA Answer:
Official Correct Answer: 3. Subtract 3 from both sides: $2x = 6$. Divide both sides by 2: $x = 3$.
Question 4 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $5x - 7 = 3x + 11 , what is the value of $x$?
TITA Answer:
Official Correct Answer: 9. Subtract $3x$ and add 7 to both sides: $2x = 18$. Divide both sides by 2: $x = 9$.
Question 5 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationHard
If and $x + y = 5 , find the value of $x$.
Official Correct Answer: C. Multiply the second equation by 2: $2x + 2y = 10$. Add this to the first equation: $5x = 24$. So, $x = \frac{24}{5} = 4.8$. The correct answer is C.
Question 6 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationEasy
If $4x + 5 = 21 , what is the value of $x$?
Official Correct Answer: A. Subtract 5 from both sides: $4x = 16$. Divide both sides by 4: $x = 4$. The correct answer is A.
Question 7 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationEasy
If $3x - 5 = 10 , what is the value of $x$?
Official Correct Answer: A. Add 5 to both sides to get $3x = 15$. Then, divide both sides by 3 to get $x = 5$. Therefore, the correct answer is A)
Question 8 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If and $x + y = 7 , what is the value of $x$?
Official Correct Answer: B. From $x + y = 7 , we get $y = 7 - x$. Substitute $y$ in the first equation to get $2x - 3(7 - x) = 12$. Simplify to get $5x - 21 = 12$ or $5x = 33$. Therefore, $x = 6.6$. The closest integer is 6, hence B) 6.
Question 9 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationHard
If and $5x - 4y = 7 , what is the value of $x + y$?
Official Correct Answer: B. Multiply the first equation by 2 and the second by 1 to get $6x + 4y = 22$ and $5x - 4y = 7$. Add both equations to get $11x = 29$ or $x = 2.636$. Substitute $x$ in the first equation to get $y = 1.364$. Therefore, $x + y = 4$. The closest integer is 4, hence C) 4.
Question 10 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationEasy
If $4x - 5 = 11 , what is the value of $x$?
TITA Answer:
Official Correct Answer: 4. Add 5 to both sides to get $4x = 16$. Then, divide both sides by 4 to get $x = 4$. Therefore, the correct answer is 4.
Question 11 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $5x - 7 = 3x + 11 , what is the value of $x$?
Official Correct Answer: A. Subtract $3x$ from both sides to get $2x - 7 = 11$. Add 7 to both sides to get $2x = 18$. Divide both sides by 2 to get $x = 9$. The closest integer is 4, hence A) 4.
Question 12 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationHard
If and $5x - 2y = 18 , what is the value of $x + y$?
Official Correct Answer: B. Multiply the first equation by 2 and the second by 4 to get $6x + 8y = 44$ and $20x - 8y = 72$. Add both equations to get $26x = 116$ or $x = 4.46$. Substitute $x$ in the first equation to get $4y = 10$ or $y = 2.5$. Therefore, $x + y = 6.96$. The closest integer is 7, hence B) 7.
Question 13 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $3x - 7 = 11 , what is the value of $x$?
Official Correct Answer: B. Step 1: Add 7 to both sides to isolate the term with $x$.
Step 2: $3x = 18$.
Step 3: Divide both sides by 3.
Step 4: $x = 6$. Therefore, the correct answer is B) 5.
Question 14 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $2x + 3 = 7 , what is the value of $x$?
Official Correct Answer: B. Step 1: Subtract 3 from both sides to isolate the term with $x$.
Step 2: $2x = 4$.
Step 3: Divide both sides by 2.
Step 4: $x = 2$. Therefore, the correct answer is B) 2.
Question 15 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $5x - 15 = 20 , what is the value of $x$?
Official Correct Answer: D. Step 1: Add 15 to both sides to isolate the term with $x$.
Step 2: $5x = 35$.
Step 3: Divide both sides by 5.
Step 4: $x = 7$. Therefore, the correct answer is D) 9.
Question 16 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $4x + 12 = 20 , what is the value of $x$?
Official Correct Answer: B. Step 1: Subtract 12 from both sides to isolate the term with $x$.
Step 2: $4x = 8$.
Step 3: Divide both sides by 4.
Step 4: $x = 2$. Therefore, the correct answer is B) 4.
Question 17 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $7x - 14 = 21 , what is the value of $x$?
TITA Answer:
Official Correct Answer: 5.0. Step 1: Add 14 to both sides to isolate the term with $x$.
Step 2: $7x = 35$.
Step 3: Divide both sides by 7.
Step 4: $x = 5$. Therefore, the correct answer is 5.0.
Question 18 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $3x + 2 = 11 , what is the value of $x$?
Official Correct Answer: C. Subtract 2 from both sides: $3x = 9$. Then, divide by 3: $x = 3$. The correct value of $x$ is $3$.
Question 19 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $4x - 7 = 11 , what is the value of $x$?
Official Correct Answer: B. Add 7 to both sides: $4x = 18$. Then, divide by 4: $x = \frac{18}{4} = 4.5$. Since the closest integer value is $3 , and the correct value is $3$.
Question 20 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $5x - 3 = 17 , what is the value of $x$?
Official Correct Answer: C. Add 3 to both sides: $5x = 20$. Then, divide by 5: $x = 4$. The correct value is $4$.
Question 21 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $2x - 1 = 5 , what is the value of $x$?
Official Correct Answer: B. Add 1 to both sides: $2x = 6$. Then, divide by 2: $x = 3$. The correct value is $3$.
Question 22 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $3x - 4 = 7x + 8 , what is the value of $x$?
Official Correct Answer: A. Step 1: Rearrange the equation to isolate $x$. $3x - 7x = 8 + 4$. Step 2: Simplify to get - 4x = 12$. Step 3: Divide both sides by - 4$ to solve for $x , giving $x = -3$.
Question 23 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $2x - 3 = 5x - 12 , what is the value of $x$?
Official Correct Answer: B. Step 1: Rearrange the equation to isolate $x$. $2x - 5x = -12 + 3$. Step 2: Simplify to get - 3x = -9$. Step 3: Divide both sides by - 3$ to solve for $x , giving $x = 3$. Step 4: Verify by substitution.
Question 24 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $5x - 7 = 3x + 11 , what is the value of $x$?
Official Correct Answer: A. Step 1: Rearrange the equation to isolate $x$. $5x - 3x = 11 + 7$. Step 2: Simplify to get $2x = 18$. Step 3: Divide both sides by 2 to solve for $x , giving $x = 9$. Step 4: Verify by substitution.
Question 25 of 77
ThinkCAT Practice SetQAAlgebra • Linear EquationModerate
If $4x - 6 = 2x + 10 , what is the value of $x$?
Official Correct Answer: C. Step 1: Rearrange the equation to isolate $x$. $4x - 2x = 10 + 6$. Step 2: Simplify to get $2x = 16$. Step 3: Divide both sides by 2 to solve for $x , giving $x = 8$. Step 4: Verify by substitution.
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Frequently Asked Questions about CAT Linear Equations Practice Questions (75+ Questions)
What concepts are covered in the Linear Equations Practice Drills practice module?
This module covers Linear Equation with 77 verified problems ranging from core foundation to high-difficulty CAT exam hall level.
What is the recommended solving time for Linear Equations Practice Drills questions?
The ideal target pace is 1.5 to 2.0 mins / question. Aspirants targeting a 99th percentile should aim for at least 80% accuracy within this timeframe.
Where can I find official past year CAT papers for Linear Equations Practice Drills?
Official past year exam questions are available in our CAT Algebra PYQ Hub module.
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