In your KS3 Maths lessons, you've probably encountered expressions. These are super important in algebra and overall in maths.
Algebra is like a secret code using symbols, often letters, to stand in for unknown numbers, called variables. These variables can change, or vary, depending on the situation. When you write down a situation as a maths sentence, it becomes an expression.
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In Algebra, think of an expression as a bunch of symbols showing a number or quantity. It can have numbers, letters, and symbols, and even a single number by itself is an expression. Understanding expressions is crucial in KS3 Maths, especially when dealing with BIDMAS/BODMAS.
Treat it like a puzzle – take your time, read each question carefully, and think through your answers. If you're confident with expressions, test yourself with this quiz!
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1.
|
Which of the following is not a mathematical expression? |
|
[ ] |
6 |
[ ] |
6a x 14 |
[ ] |
5a - 4b +16c x 8d |
[ ] |
Oh my gosh! |
|
|
2.
|
In an algebraic expression letters are often used to represent what? |
|
[ ] |
Other letters |
[ ] |
Only numbers greater than 1 |
[ ] |
Only numbers less than 1 |
[ ] |
Values |
|
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3.
|
Simplify 5a + 7a. |
|
[ ] |
12a |
[ ] |
12aa |
[ ] |
57a |
[ ] |
57aa |
|
|
4.
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Which of these is a simplification of 2a x 3a? |
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[ ] |
5a |
[ ] |
6a |
[ ] |
23aa |
[ ] |
6a2 |
|
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5.
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Simplify 4a + 5b + 6b + 11a |
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[ ] |
26ab |
[ ] |
15a2 + 11b2 |
[ ] |
15a + 11b |
[ ] |
9a + 17b |
|
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6.
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What is the simplification of 3a + 4b + 6c + 3a - 6c - a - 3b? |
|
[ ] |
4a + 2b - 3c |
[ ] |
5a + b |
[ ] |
6a - 3b |
[ ] |
9a - 2b - c |
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7.
|
If I have x rabbits and you have twice as many, how many rabbits have you got? |
|
[ ] |
2x |
[ ] |
2 + x |
[ ] |
2 - x |
[ ] |
x2 |
|
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8.
|
Jane is c years old and her sister Katie is three years younger so how old is Katie? |
|
[ ] |
c3 |
[ ] |
c + 3 |
[ ] |
c - 3 |
[ ] |
c - 3 - 3 |
|
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9.
|
Peter has x brothers, Paul has y brothers and Graham has z brothers. Between the three boys, how many brothers have they got? |
|
[ ] |
xyz |
[ ] |
x + y + z |
[ ] |
x + y - z |
[ ] |
x - y + z |
|
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10.
|
Suzie is x years old and she has a sister called Rosie who is four years older. Rosie's mother was 28 when Rosie was born. How old is Rosie's mother now? |
|
[ ] |
7x |
[ ] |
x + 28 |
[ ] |
x - 4 |
[ ] |
x + 32 |
|
|
1.
|
Which of the following is not a mathematical expression? |
|
[ ] |
6 |
[ ] |
6a x 14 |
[ ] |
5a - 4b +16c x 8d |
[x] |
Oh my gosh! |
|
|
2.
|
In an algebraic expression letters are often used to represent what? |
|
[ ] |
Other letters |
[ ] |
Only numbers greater than 1 |
[ ] |
Only numbers less than 1 |
[x] |
Values |
|
|
3.
|
Simplify 5a + 7a. |
|
[x] |
12a |
[ ] |
12aa |
[ ] |
57a |
[ ] |
57aa |
|
|
4.
|
Which of these is a simplification of 2a x 3a? |
|
[ ] |
5a |
[ ] |
6a |
[ ] |
23aa |
[x] |
6a2 |
|
|
5.
|
Simplify 4a + 5b + 6b + 11a |
|
[ ] |
26ab |
[ ] |
15a2 + 11b2 |
[x] |
15a + 11b |
[ ] |
9a + 17b |
|
|
6.
|
What is the simplification of 3a + 4b + 6c + 3a - 6c - a - 3b? |
|
[ ] |
4a + 2b - 3c |
[x] |
5a + b |
[ ] |
6a - 3b |
[ ] |
9a - 2b - c |
|
|
7.
|
If I have x rabbits and you have twice as many, how many rabbits have you got? |
|
[x] |
2x |
[ ] |
2 + x |
[ ] |
2 - x |
[ ] |
x2 |
|
|
8.
|
Jane is c years old and her sister Katie is three years younger so how old is Katie? |
|
[ ] |
c3 |
[ ] |
c + 3 |
[x] |
c - 3 |
[ ] |
c - 3 - 3 |
|
|
9.
|
Peter has x brothers, Paul has y brothers and Graham has z brothers. Between the three boys, how many brothers have they got? |
|
[ ] |
xyz |
[x] |
x + y + z |
[ ] |
x + y - z |
[ ] |
x - y + z |
|
|
10.
|
Suzie is x years old and she has a sister called Rosie who is four years older. Rosie's mother was 28 when Rosie was born. How old is Rosie's mother now? |
|
[ ] |
7x |
[ ] |
x + 28 |
[ ] |
x - 4 |
[x] |
x + 32 |
|
|