Algebra and Equations

1. If 2x - 4 = 10, what is x?

• A. 5
• B. 6
• C. 7 ✓
• D. 8

💡 Adding 4 then dividing by 2 gives x = 7.

2. Solve for x: x + 5 = 12.

• A. 5
• B. 6
• C. 7 ✓
• D. 8

💡 Subtracting 5 from both sides gives x = 7.

3. What is the value of x in x/4 = 9?

• A. 32
• B. 34
• C. 36 ✓
• D. 38

💡 Multiplying both sides by 4 gives x = 36.

4. Solve for x: 4(x + 2) = 24.

• A. 2
• B. 3
• C. 4 ✓
• D. 5

💡 Dividing by 4 gives x + 2 = 6, so x = 4.

5. Simplify: 3x + 2x.

• A. 4x
• B. 5x ✓
• C. 6x
• D. 7x

💡 Combining like terms, 3x + 2x = 5x.

6. Solve for x: 5x - 10 = 20.

• A. 4
• B. 5
• C. 6 ✓
• D. 7

💡 Adding 10 then dividing by 5 gives x = 6.

7. Solve for x: x/3 + 2 = 7.

• A. 12
• B. 13
• C. 14
• D. 15 ✓

💡 Subtracting 2 gives x/3 = 5, then multiplying by 3 gives x = 15.

8. What is the value of (x+2)(x-2) when x=5?

• A. 15
• B. 19
• C. 21 ✓
• D. 25

💡 This expands to x² - 4, and 5² - 4 = 21.

9. Solve for x: 7x = 63.

• A. 7
• B. 8
• C. 9 ✓
• D. 10

💡 Dividing both sides by 7 gives x = 9.

10. Solve for x: 3x = 21.

• A. 6
• B. 7 ✓
• C. 8
• D. 9

💡 Dividing both sides by 3 gives x = 7.

11. What is the slope of the line y = 2x + 3?

• A. 1
• B. 2 ✓
• C. 3
• D. 4

💡 In the form y = mx + b, the slope m is 2.

12. Solve for x: x - 8 = 15.

• A. 21
• B. 22
• C. 23 ✓
• D. 24

💡 Adding 8 to both sides gives x = 23.

13. If y = 3x and x = 4, what is y?

• A. 7
• B. 10
• C. 12 ✓
• D. 14

💡 Substituting x = 4 gives y = 3 x 4 = 12.

14. Solve for x: x² = 49.

• A. 6
• B. 7 ✓
• C. 8
• D. 9

💡 The square root of 49 is 7, so x = 7.

15. Solve for x: 2x + 3 = 11.

• A. 3
• B. 4 ✓
• C. 5
• D. 6

💡 Subtracting 3 then dividing by 2 gives x = 4.