Algebra (Secondary) for Competitive Exam Success

Algebra (Secondary)

3D Geometry Arithmetic and Geometric Progressions Arithmetic and Geometric Progressions - Applications Arithmetic and Geometric Progressions - Case Studies Arithmetic and Geometric Progressions - Problem Set Binomial Theorem Binomial Theorem (Intro) Binomial Theorem (Intro) - Applications Binomial Theorem (Intro) - Case Studies Binomial Theorem (Intro) - Problem Set Complex Numbers and Quadratic Equations Coordinate Geometry - Circles Coordinate Geometry - Straight Lines Differential Equations Factorization Techniques Factorization Techniques - Applications Factorization Techniques - Case Studies Factorization Techniques - Problem Set Indices and Surds Indices and Surds - Applications Indices and Surds - Case Studies Indices and Surds - Problem Set Inequalities and Their Applications Inequalities and Their Applications - Applications Inequalities and Their Applications - Case Studies Inequalities and Their Applications - Problem Set Integral Calculus Limit, Continuity and Differentiability Linear Equations in One Variable Linear Equations in One Variable - Applications Linear Equations in One Variable - Case Studies Linear Equations in One Variable - Problem Set Linear Programming Basics Linear Programming Basics - Applications Linear Programming Basics - Case Studies Linear Programming Basics - Problem Set Mathematical Induction Matrices and Determinants Pair of Linear Equations - Word Problems Pair of Linear Equations - Word Problems - Applications Pair of Linear Equations - Word Problems - Case Studies Pair of Linear Equations - Word Problems - Problem Set Permutations and Combinations Polynomials - Introduction Polynomials - Introduction - Applications Polynomials - Introduction - Case Studies Polynomials - Introduction - Problem Set Polynomials - Roots and Factor Theorem Polynomials - Roots and Factor Theorem - Applications Polynomials - Roots and Factor Theorem - Case Studies Polynomials - Roots and Factor Theorem - Problem Set Quadratic Equations Quadratic Equations - Applications Quadratic Equations - Case Studies Quadratic Equations - Problem Set Quadratic Formula Applications Quadratic Formula Applications - Applications Quadratic Formula Applications - Case Studies Quadratic Formula Applications - Problem Set Sequences and Series Sets, Relations and Functions Simultaneous Linear Equations Simultaneous Linear Equations - Applications Simultaneous Linear Equations - Case Studies Simultaneous Linear Equations - Problem Set Trigonometry - Advanced Problems Vector Algebra

Q. What is the value of x in the equation 4x - 12 = 0?

A. 3
B. 4
C. 2
D. 0

Solution

Add 12 to both sides: 4x = 12. Then divide by 4: x = 3.

Correct Answer: A — 3

Learn More →

Q. What is the value of x in the equation 4x - 7 = 5?

A. x = 1
B. x = 2
C. x = 3
D. x = 4

Solution

Add 7 to both sides: 4x = 12. Then divide by 4: x = 3.

Correct Answer: B — x = 2

Learn More →

Q. What is the value of x in the equation 4x - 7 = 5x + 2?

A. x = -9
B. x = 11
C. x = 1
D. x = -1

Solution

Step 1: Subtract 4x from both sides: -7 = x + 2. Step 2: Subtract 2 from both sides: -9 = x. Therefore, x = -9.

Correct Answer: C — x = 1

Learn More →

Q. What is the value of x in the equation 4x^2 - 12x + 9 = 0?

A. 1
B. 2
C. 3
D. 4

Solution

Factor the equation: (2x - 3)(2x - 3) = 0. Thus, x = 3.

Correct Answer: C — 3

Learn More →

Q. What is the value of x in the equation 4x^2 - 12x = 0?

A. x = 0 or x = 3
B. x = 1 or x = 4
C. x = 2 or x = 6
D. x = -3 or x = 4

Solution

Factor: 4x(x - 3) = 0. So, x = 0 or x = 3.

Correct Answer: A — x = 0 or x = 3

Learn More →

Q. What is the value of x in the equation 4x^2 - 16 = 0?

A. x = 2
B. x = -2
C. x = 4
D. x = -4

Solution

Step 1: Add 16 to both sides: 4x^2 = 16. Step 2: Divide by 4: x^2 = 4. Step 3: Take the square root: x = 2 or x = -2.

Correct Answer: A — x = 2

Learn More →

Q. What is the value of x in the equation 5(x - 1) = 20?

A. x = 3
B. x = 4
C. x = 5
D. x = 6

Solution

Divide both sides by 5: x - 1 = 4. Then add 1: x = 5.

Correct Answer: B — x = 4

Learn More →

Q. What is the value of x in the equation 5(x - 1) = 3x + 7?

A. x = 4
B. x = 5
C. x = 6
D. x = 3

Solution

Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5: 2x = 12. Step 4: Divide by 2: x = 6.

Correct Answer: A — x = 4

Learn More →

Q. What is the value of x in the equation 5x + 2 = 3x + 10?

A. x = 4
B. x = 3
C. x = 2
D. x = 1

Solution

Step 1: Subtract 3x from both sides: 2x + 2 = 10. Step 2: Subtract 2 from both sides: 2x = 8. Step 3: Divide by 2: x = 4.

Correct Answer: A — x = 4

Learn More →

Q. What is the value of x in the equation 5x + 3 = 18?

A. x = 3
B. x = 4
C. x = 5
D. x = 2

Solution

To solve 5x + 3 = 18, subtract 3 from both sides: 5x = 15. Then divide by 5: x = 3.

Correct Answer: B — x = 4

Learn More →

Q. What is the value of x in the equation 5x - 2 = 3x + 6?

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Subtract 3x from both sides: 2x - 2 = 6. Then add 2: 2x = 8. Finally, divide by 2: x = 4.

Correct Answer: A — x = 2

Learn More →

Q. What is the value of x in the equation 5x^2 - 20 = 0?

A. x = 0
B. x = 2
C. x = -2
D. x = 4

Solution

Add 20 to both sides: 5x^2 = 20. Divide by 5: x^2 = 4. Take the square root: x = ±2.

Correct Answer: B — x = 2

Learn More →

Q. What is the value of x in the equation 6x + 2 = 20?

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Step 1: Subtract 2 from both sides: 6x = 18. Step 2: Divide both sides by 6: x = 3.

Correct Answer: C — x = 4

Learn More →

Q. What is the value of x in the equation 6x - 2 = 4?

A. x = 0
B. x = 1
C. x = 2
D. x = 3

Solution

Step 1: Add 2 to both sides: 6x = 6. Step 2: Divide both sides by 6: x = 1.

Correct Answer: B — x = 1

Learn More →

Q. What is the value of x in the equation 7x + 2 = 23?

A. x = 2
B. x = 3
C. x = 4
D. x = 5

Solution

Subtract 2: 7x = 21. Divide by 7: x = 3.

Correct Answer: C — x = 4

Learn More →

Q. What is the value of x in the equation 7x - 14 = 0?

A. x = 0
B. x = 1
C. x = 2
D. x = 3

Solution

Step 1: Add 14 to both sides: 7x = 14. Step 2: Divide both sides by 7: x = 2.

Correct Answer: C — x = 2

Learn More →

Q. What is the value of x in the equation 7x - 2 = 5x + 6?

A. 1
B. 2
C. 3
D. 4

Solution

Subtract 5x from both sides: 2x - 2 = 6. Add 2 to both sides: 2x = 8. Divide by 2: x = 4.

Correct Answer: A — 1

Learn More →

Q. What is the value of x in the equation x/3 + 2 = 5?

A. x = 9
B. x = 6
C. x = 3
D. x = 12

Solution

Step 1: Subtract 2 from both sides: x/3 = 3. Step 2: Multiply both sides by 3: x = 9.

Correct Answer: A — x = 9

Learn More →

Q. What is the value of x in the equation x^2 + 2x - 15 = 0?

A. x = 3, -5
B. x = -3, 5
C. x = 5, -3
D. x = -5, 3

Solution

Factoring gives (x - 3)(x + 5) = 0. Thus, x = 3 or x = -5.

Correct Answer: C — x = 5, -3

Learn More →

Q. What is the value of x in the equation x^2 + 4x + 4 = 0?

A. -2
B. 0
C. 2
D. 4

Solution

Factor the quadratic: (x + 2)(x + 2) = 0. Thus, x = -2.

Correct Answer: A — -2

Learn More →

Q. What is the value of x in the equation x^2 + 6x + 9 = 0?

A. -3
B. 3
C. 0
D. -6

Solution

This is a perfect square trinomial: (x + 3)^2 = 0. Therefore, x + 3 = 0, which gives x = -3.

Correct Answer: A — -3

Learn More →

Q. What is the value of x in the equation x^2 - 16 = 0?

A. x = 4
B. x = -4
C. x = 0
D. x = ±4

Solution

Factor the equation: (x - 4)(x + 4) = 0. Thus, x = 4 or x = -4.

Correct Answer: D — x = ±4

Learn More →

Q. What is the value of x in the equation x^2 - 4 = 0?

A. -2
B. 2
C. 0
D. Both -2 and 2

Solution

Step 1: Factor the equation: (x - 2)(x + 2) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x + 2 = 0. Solutions are x = 2 and x = -2.

Correct Answer: D — Both -2 and 2

Learn More →

Q. What is the value of x in the equation x^2 - 5x + 6 = 0?

A. 1
B. 2
C. 3
D. 4

Solution

Step 1: Factor the quadratic: (x - 2)(x - 3) = 0. Step 2: Set each factor to zero: x - 2 = 0 or x - 3 = 0. Step 3: Solutions are x = 2 or x = 3.

Correct Answer: C — 3

Learn More →

Q. What is the value of x in the equation x^2 - 9 = 0?

A. x = 3
B. x = -3
C. x = 0
D. x = ±3

Solution

Step 1: Factor the equation: (x - 3)(x + 3) = 0. Step 2: Set each factor to zero: x - 3 = 0 or x + 3 = 0. Step 3: Solutions are x = 3 and x = -3.

Correct Answer: D — x = ±3

Learn More →

Q. What is the value of x in the inequality 2x + 1 > 7?

A. x < 3
B. x > 3
C. x < 4
D. x > 4

Solution

Subtract 1 from both sides: 2x > 6. Then divide by 2: x > 3.

Correct Answer: B — x > 3

Learn More →

Q. What is the value of x in the inequality 3x - 4 < 5?

A. x < 3
B. x < 2
C. x > 3
D. x > 2

Solution

Step 1: Add 4 to both sides: 3x < 9. Step 2: Divide both sides by 3: x < 3.

Correct Answer: B — x < 2

Learn More →

Q. What is the value of x in the inequality 3x - 7 < 2?

A. x < 3
B. x < 2
C. x > 3
D. x > 2

Solution

Step 1: Add 7 to both sides: 3x < 9. Step 2: Divide by 3: x < 3.

Correct Answer: A — x < 3

Learn More →

Q. What is the value of x in the polynomial equation 3x^2 + 12x = 0?

A. x = 0, -4
B. x = 0, 4
C. x = -3, -4
D. x = 3, 4

Solution

Step 1: Factor out 3x: 3x(x + 4) = 0. Step 2: Set each factor to zero: 3x = 0 or x + 4 = 0. Step 3: Solutions are x = 0 and x = -4.

Correct Answer: A — x = 0, -4

Learn More →

Q. What is the value of x in the polynomial equation 3x^2 - 12 = 0?

A. x = 2
B. x = -2
C. x = 4
D. x = -4

Solution

Add 12 to both sides: 3x^2 = 12. Divide by 3: x^2 = 4. Take the square root: x = ±4.

Correct Answer: C — x = 4

Learn More →

Showing 541 to 570 of 702 (24 Pages)

Algebra (Secondary)

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?