Algebra and Equations

1. What is the slope of a horizontal line?

• A. 1
• B. -1
• C. Undefined

💡 A horizontal line has a slope of 0 because there is no rise — it is perfectly flat.

2. Solve: 2x - 4 = 10

• A. 5
• B. 6
• C. 7 ✓
• D. 8

💡 2x = 10 + 4 = 14, so x = 14 ÷ 2 = 7.

3. Solve for x: x/3 = 9

• A. 18
• B. 24
• C. 27 ✓
• D. 30

💡 x = 9 × 3 = 27.

4. If x + 5 = 12, what is x?

• A. 5
• B. 6
• C. 7 ✓
• D. 8

💡 x + 5 = 12, so x = 12 - 5 = 7.

5. If y = 2x + 3 and x = 4, what is y?

• A. 9
• B. 10
• C. 11 ✓
• D. 12

💡 y = 2(4) + 3 = 8 + 3 = 11.

6. If a = 3 and b = 4, what is a² + b²?

• A. 20
• B. 25 ✓
• C. 30
• D. 35

💡 a² + b² = 3² + 4² = 9 + 16 = 25.

7. Which of these is a quadratic equation?

• A. 3x + 2 = 0
• B. x³ + 1 = 0
• C. x² - 5x + 6 = 0 ✓
• D. 2x = 8

💡 A quadratic equation has degree 2 (highest power is x²). x² - 5x + 6 = 0 is quadratic.

8. What is the value of 3x when x = 6?

• A. 12
• B. 15
• C. 18 ✓
• D. 21

💡 3x = 3 × 6 = 18.

9. What is the square root of 144?

• A. 10
• B. 11
• C. 12 ✓
• D. 13

💡 √144 = 12 because 12 × 12 = 144.

10. What is the value of 2³?

• A. 4
• B. 6
• C. 8 ✓
• D. 10

💡 2³ = 2 × 2 × 2 = 8.

11. Expand: (x + 3)(x + 2)

• A. x² + 5x + 5
• B. x² + 5x + 6 ✓
• C. x² + 6x + 6
• D. x² + 6x + 5

💡 (x+3)(x+2) = x² + 2x + 3x + 6 = x² + 5x + 6.

12. What is the LCM of 4 and 6?

• A. 8
• B. 10
• C. 12 ✓
• D. 24

💡 The Least Common Multiple of 4 and 6 is 12, the smallest number divisible by both.

13. What is the value of x² when x = 5?

• A. 10
• B. 15
• C. 20
• D. 25 ✓

💡 x² = 5² = 5 × 5 = 25.

14. Simplify: 3x + 2x

• A. x
• B. 5x ✓
• C. 6x
• D. 5x²

💡 3x + 2x = 5x. Add the coefficients when the variable is the same.

15. Solve: 5(x - 2) = 20

• A. 4
• B. 5
• C. 6 ✓
• D. 7

💡 5x - 10 = 20, so 5x = 30, x = 6.