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In these equations with brackets, you'll need to work out the value of x (or other letters such as a or b). This Algebra quiz gives you some practice at moving around letters and figures as an introduction to equations with brackets.

As you progress through the Math quiz, you get a chance to solve some equations - lucky you!

1.

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

The correct answer could be further simplified to b = -1

2.

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

-5

-9

-10

10

5 x -7 = -35

3.

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

(x - 3)2

2(x - 3)

Either of the above

Neither of the above

4.

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

5a + 20

5a - 20

5a - 4

5a4

Removing brackets this way is referred to as 'expanding the brackets'. In this case the 5 outside of the brackets must be multiplied by BOTH the a and the - 4 that are inside the brackets

5.

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

When the 4 crosses the equals sign it changes from + 4 to - 4

6.

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

When - 16 crosses the equals sign it changes to + 16

7.

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

6a = 25

a = 25 / 6

a = 4^{1}⁄_{6}

a = 4.25

You will often find that you have a term such as 6a and you need to separate the 6 from the a in order to determine the value of a

8.

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

5

7.5

10

15

4x - 20 = 10 and therefore 4x = 30

9.

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

10.

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

1

2

3

4

16a + 112 = 128 and therefore 16a = 16