Simplifying simple expressions worksheet or homework sheet.

This worksheet contains various questions on simplifying expressions. They start off quite easy but get harder towards the end. All you need to do is add or subtract the same types of terms. That is only add x's to x's or y's to y's etc. The answers to these questions follow - if you get more than 3 wrong then you probably need to repeat this exercise on simplifying expressions.

Questions On Simplifying Expressions

1. Simplify: x + x + x + x + x

2. Simplify x + x + x + y + y

3. Simplify 5x + 2y + y + 3x

4. Simplify 2x - 5y + 3x + 6y

5. Simplify 8x - 7y + 3x - 4y

6. Simplify x2 + x2 + x2

7. Simplify 3xy + 4y2 + 7xy - 6y2

8. Simplify -3h -7k - 5h + 9k

9. Simplify -4m - 6n + 2m - 4n

10 Simplify -8x - 5y + 8z - 2x + 3y - 11z

Answers

1. Simplify: x + x + x + x + x

5x

2. Simplify x + x + x + y + y

x terms: 3x

y terms 2y

Which gives 3x + 2y

3. Simplify 5x + 2y + y + 3x

x terms: 8x

y terms 3y

Which gives 8x + 3y

4. Simplify 2x - 5y + 3x + 6y

x terms: 5x

y terms: y (1y needs to be simplified to y otherwise you score no marks)

Which gives 5x + y

5. Simplify 8x - 7y + 3x - 4y

x terms: 11x

y terms -11y

So the final answer is 11x - 11y

6. Simplify x2 + x2 + x2

3x2 (make sure you don't put x6- this is what you get if you were multiplying the exponents).

7. Simplify 3xy + 4y2 + 7xy - 6y2

xy terms: 10xy

y2 terms: -2y2

So the final answer is 10xy - 2y2

8. Simplify -3h -7k - 5h + 9k

h terms: -8h

k terms: 2k

Which gives -8h + 2k

9. Simplify -4m - 6n + 2m - 4n

m terms: -2m

n terms: -10n

Which gives -2m - 10n

10 Simplify -8x - 5y + 8z - 2x + 3y - 11z

x terms: -10x

y terms: -2y

z terms: -3z

Which gives a final answer of -10x -2y -3z


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