Algebra - Equations with Brackets
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Algebra - Equations with Brackets

This Math quiz is called 'Algebra - Equations with Brackets' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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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.
If 4(x - 5) = 10, what is the value of x?
5
7.5
10
15
4x - 20 = 10 and therefore 4x = 30
2.
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
3.
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
4.
If 16(a + 7) = 128, what is the value of a?
1
2
3
4
16a + 112 = 128 and therefore 16a = 16
5.
If 6a - 5 = 20, which of the following is incorrect?
6a = 25
a = 25 / 6
a = 416
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
6.
2x - 6 could be written as which of the following?
(x - 3)2
2(x - 3)
Either of the above
Neither of the above
7.
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
8.
If 5(x + 2) = -35, what is the value of x?
-5
-9
-10
10
5 x -7 = -35
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.
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
Author:  Frank Evans

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