In your KS3 Maths journey, algebra is a part you'll spend a lot of time tackling. Sometimes, you'll face equations with letters on both sides of the equals sign, and that's what this quiz is all about. Remember the handy rule: 'change sides, change signs,' and you'll be on the right track.
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To make things easier, try the 'cover-up' method. For instance, in 3x + 4 = 10, cover up the x-term and replace it with 'what.' So, 'what plus 4 equals 10?' Easy, right? The answer is 6. Move on to the next line, which becomes 3x = 6. Finally, it leads to x = 2. A bit trickier when the variable is on both sides, but you'll get the hang of it!
This quiz is perfect practice for solving equations with letters on both sides. You'll be a pro by the time you finish!
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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 |
|
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3.
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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 |
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4.
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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 |
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5.
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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 |
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6.
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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 |
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|
7.
|
What is the value of c in the following equation: 4c = 2c + 75? |
|
[ ] |
8 |
[ ] |
37.5 |
[ ] |
75 |
[ ] |
150 |
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|
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 |
|
|
1.
|
x + 7 = 10 + 12 is the same as which of the following? |
|
[x] |
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 |
[x] |
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 |
[x] |
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. |
|
[x] |
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 |
[x] |
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 |
[x] |
a = 25 |
|
|
7.
|
What is the value of c in the following equation: 4c = 2c + 75? |
|
[ ] |
8 |
[x] |
37.5 |
[ ] |
75 |
[ ] |
150 |
|
|
8.
|
What is the value of d in the following equation: 13d + 8 = 7d + 3d + 35? |
|
[ ] |
7 |
[x] |
9 |
[ ] |
11 |
[ ] |
13 |
|
|
9.
|
What is the value of e in the following equation: 2(e + 5) = 44? |
|
[ ] |
0.7 |
[ ] |
7 |
[x] |
17 |
[ ] |
27 |
|
|
10.
|
What is the value of f in the following equation: 7(f - 5) = 4(f - 3.5)? |
|
[x] |
7 |
[ ] |
9 |
[ ] |
11 |
[ ] |
13 |
|
|