Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Equations with Brackets (Questions)

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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. 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 = 416
[ ] 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
Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Equations with Brackets (Answers)
1. 3 x a + 4 = 6 is the same as which of the following?
[x] 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
2. 3b - 16 + b = 1 is the same as which of the following?
[ ] 4b = 1 - 16
[ ] 4b = 1 / 16
[x] 4b = 1 + 16
[ ] 4b = 1 x 16
When - 16 crosses the equals sign it changes to + 16
3. 3a + 6 + b = 3a + 5 is the same as which of the following?
[x] 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
4. 2x - 6 could be written as which of the following?
[ ] (x - 3)2
[ ] 2(x - 3)
[x] 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 = 416
[x] 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. 5(a - 4) is the same as which of the following?
[ ] 5a + 20
[x] 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
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
[x] 4a + 12 = 5b - 40
[ ] 4a + 12 = 5b + 40
8. If 4(x - 5) = 10, what is the value of x?
[ ] 5
[x] 7.5
[ ] 10
[ ] 15
4x - 20 = 10 and therefore 4x = 30
9. If 16(a + 7) = 128, what is the value of a?
[x] 1
[ ] 2
[ ] 3
[ ] 4
16a + 112 = 128 and therefore 16a = 16
10. If 5(x + 2) = -35, what is the value of x?
[ ] -5
[x] -9
[ ] -10
[ ] 10
5 x -7 = -35