Level 5-6 Algebra - Equations with Brackets

1. 3 x a + 4 = 6 is the same as which of the following?

   • 3 x a = 6 - 4
   • 3 x a = 6 / 4
   • 3 x a = 6 + 4
   • 3 x a = 6 x 4

2. 3b - 16 + b = 1 is the same as which of the following?

   • 4b = 1 - 16
   • 4b = 1 / 16
   • 4b = 1 + 16
   • 4b = 1 x 16

3. 3a + 6 + b = 3a + 5 is the same as which of the following?

   • b = 3a - 3a + 5 - 6
   • b = 3a + 3a + 5 - 6
   • b = 3a - 3a - 5 + 6
   • b = 3a - 3a + 5 + 6

4. 2x - 6 could be written as which of the following?

   • (x - 3)2
   • 2(x - 3)
   • Either of the above
   • Neither of the above

5. If 6a - 5 = 20, which of the following is incorrect?

   • 6a = 25
   • a = 25 / 6
   • a = 25 x 6
   • a = 4.25

6. 5(a - 4) is the same as which of the following?

   • 5a + 20
   • 5a - 20
   • 5a - 4
   • 5a4

7. Look at the following equation and choose the correct answer when the brackets have been expanded: 4(a + 3) = 5(b - 8)

   • 4a - 12 = 5b - 40
   • 4a - 12 = 5b + 40
   • 4a + 12 = 5b - 40
   • 4a + 12 = 5b + 40

8. If 4(x - 5) = 10, what is the value of x?

   • 5
   • 7.5
   • 10
   • 15

9. If 16(a + 7) = 128, what is the value of a?

   • 1
   • 2
   • 3
   • 4

10. If 5(x + 2) = -35, what is the value of x?

    • -5
    • -9
    • -10
    • 10

Quiz written by Colin King