Equations

Math Equations Quiz - 25 Questions

First Degree Equations (Linear)

1. Solve for \( x \): \( 3x + 7 = 22 \)

A) \( x = 5 \)

B) \( x = 4 \)

C) \( x = 6 \)

D) \( x = 7 \)

2. Solve for \( x \): \( 5x - 12 = 3x + 8 \)

A) \( x = 5 \)

B) \( x = 8 \)

C) \( x = 10 \)

D) \( x = 12 \)

3. Solve for \( x \): \( \frac{x}{4} + 3 = 7 \)

A) \( x = 12 \)

B) \( x = 14 \)

C) \( x = 16 \)

D) \( x = 18 \)

MR/Nasef.N

Second Degree Equations (Quadratic)

4. Solve for \( x \): \( x^2 - 9 = 0 \) (Natural numbers)

A) \( x = 3 \)

B) \( x = -3 \)

C) \( x = \pm3 \)

D) No solution

5. Solve for \( x \): \( x^2 + 5x + 6 = 0 \) (Integer solutions)

A) \( x = 1, 6 \)

B) \( x = -1, -6 \)

C) \( x = -2, -3 \)

D) \( x = 2, 3 \)

6. Solve for \( x \): \( 2x^2 - 8 = 0 \) (Rational numbers)

A) \( x = \pm\sqrt{4} \)

B) \( x = \pm2 \)

C) \( x = \pm\sqrt{8} \)

D) \( x = \pm4 \)

MR/Nasef.N

Third Degree Equations (Cubic)

7. Solve for \( x \): \( x^3 - 8 = 0 \) (Natural numbers)

A) \( x = 2 \)

B) \( x = -2 \)

C) \( x = \pm2 \)

D) No solution

8. Solve for \( x \): \( x^3 + 27 = 0 \) (Integer solutions)

A) \( x = 3 \)

B) \( x = -3 \)

C) \( x = \pm3 \)

D) No solution

9. Solve for \( x \): \( 5x^3 - 40 = 0 \) (Rational numbers)

A) \( x = \sqrt{8} \)

B) \( x = 2 \)

C) \( x = -2 \)

D) \( x = \pm2 \)

MR/Nasef.N

Answer Key

1. A) \( x = 5 \) (Subtract 7 from both sides: \( 3x = 15 \), then divide by 3)

2. C) \( x = 10 \) (Subtract 3x from both sides: \( 2x - 12 = 8 \), then add 12: \( 2x = 20 \), divide by 2)

3. C) \( x = 16 \) (Subtract 3: \( \frac{x}{4} = 4 \), then multiply by 4)

4. A) \( x = 3 \) (\( x^2 = 9 \), natural number solution is 3)

5. C) \( x = -2, -3 \) (Factors to \( (x+2)(x+3) = 0 \))

6. B) \( x = \pm2 \) (\( 2x^2 = 8 \), \( x^2 = 4 \), \( x = \pm2 \))

7. A) \( x = 2 \) (\( x^3 = 8 \), natural number solution is 2)

8. B) \( x = -3 \) (\( x^3 = -27 \), integer solution is -3)

9. B) \( x = 2 \) (\( 5x^3 = 40 \), \( x^3 = 8 \), \( x = 2 \))