Level 5-6 Algebra - Equations with Letters on Both Sides

1. x + 7 = 10 + 12 is the same as which of the following?

   • x = 10 + 12 - 7
   • x = 10 + 12 + 7
   • x = 17 + 19
   • x = 70 + 84

2. 2x + 3y = 3y + 7 is the same as which of the following?

   • 2x = 6y + 7
   • 2x = 7
   • y = 2x - 7
   • y = 2x + 7

3. Look at this equation: 10 + 18 = 7x. Now decide which of the following is not correct.

   • 7x = 10 + 18
   • 7x = 10 - 18
   • 7x = 28
   • x = 4

4. Look at this equation: 10x + 18x = 7x + 189. Now decide which of the following is not correct.

   • 10x + 18x + 7x = 189
   • 10x + 18x - 7x = 189
   • 21x = 189
   • x = 9

5. 4(a + 7) = 40 is the same as which of the following?

   • 4 - a - 7 = 40
   • 4 - a + 7 = 40
   • 4 + a + 7 = 40
   • 4a + 28 = 40

6. Look at the equation 4(a - 4) = 3a - 9. Now decide which of the following is not correct.

   • 4a - 16 = 3a - 9
   • a = -9 + 16
   • a = 7
   • a = 25

7. What is the value of c in the following equation: 4c = 2c + 75?

   • 8
   • 37.5
   • 75
   • 150

8. What is the value of d in the following equation: 13d + 8 = 7d + 3d + 35?

   • 7
   • 9
   • 11
   • 13

9. What is the value of e in the following equation: 2(e + 5) = 44?

   • 0.7
   • 7
   • 17
   • 27

10. What is the value of f in the following equation: 7(f - 5) = 4(f - 3.5)?

    • 7
    • 9
    • 11
    • 13

Quiz written by Colin King