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Simplifying 2

Task 1 : Collecting like terms – 3 terms with the same variable Task 2 : Collecting like terms – 4 positive terms with 2 variables Task 3 : Collecting like terms – 4 positive terms with 2 variables (positive answers only) Task 4 : Collecting like terms – 4 terms with 2 variables

Puzzle : Collecting like terms – 4 terms with 2 variables

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Help and hints……

Simplifying 2

TASK 1

TASK 2

TASK 3

Examples

Example

Example

1)

6e – 4e - e = e

2a + 3b + 4a + 2b

2)

4x – 3x + 2x = 3x

2a + 3b + 4a + 2b =

3)

5y – 6y – y = -2y

2a + 4a

Make sure you

check the signs in

front of the terms

4a + 6b – 3a – 4b = 4a – 3a

+ 3b + 2b =

+ 6b – 4b =

a + 2b

6a + 5b Remember that

‘y’ is ‘1y’

TASK 4 You cannot ‘mix’ your

a’s and b’s

Example 4a + b – 6a – 3b = 4a – 6a

+ b – 3b =

-2a - 2b

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Simplifying 2 TASK 1

TASK 2

TASK 3

TASK 4

1. 5b - 5b - 5b

1. 5a + 2b + 3a + 4b

1. 9a + 5b + 4a - 5b

1. 10a + 9b - a - 3b

2. 8x - 5x - 2x

2. 7a + 5b + 7a + 6b

2. 8a + 5b + 4a - 5b

2. 7a + 8b - 8a - 4b

3. 6d - d - 2d

3. 10a + 4b + 6a + 8b

3. 6a + 8b + a - 3b

3. 2a + 7b - 4a + 3b

4. 6x - 3x - 3x

4. 6a + 2b + 3a + 7b

4. 9a + 5b + 4a - 5b

4. 9a + 10b - 5a + 4b

5. 9b - 2b - 4b

5. 8a + 4b + 7a + 3b

5. 8a + 9b - 3a + 5b

5. 9a + 3b - 3a - 4b

6. 5c + 3c - 2c

6. 5a + 3b + 3a + 4b

6. 9a + 8b - 3a + 2b

6. 5a + 5b - 3a - 5b

7. 9x - 4x - 3x

7. 7a + 2b + 6a + 7b

7. 8a + 5b - 2a + 3b

7. 7a + 10b - 8a + 3b

8. 5a - 5a - 6a

8. 7a + 3b + 3a + 4b

8. 6a + 6b - 4a - 2b

8. 9a + 3b + a - b

9. 9f - 5f - 5f

9. 5a + 3b + 8a + 7b

9. 7a + 6b + 4a - 3b

9. 2a + 2b - 5a - 4b

10. 9a - 6a + a

10. 5a + 4b + 8a + 3b

10. 5a + 6b - a - 3b

10. 7a + 9b - 5a - 4b

11. 6b + 3b - b

11. 10a + 4b + 3a + 7b

11. 7a + 10b + a - 4b

11. 10a + 5b + 3a - 5b

12. 6e + 3e - e

12. 5a + 4b + 7a + 5b

12. 8a + 6b - a + 4b

12. 7a + 3b - 5a - 5b

13. 5x - x + x

13. 8a + 2b + 3a + 8b

13. 8a + 8b - 4a + 2b

13. 8a + 5b - 3a - 4b

14. 7x - x - 6x

14. 10a + 3b + 6a + 7b

14. 5a + 5b - 3a - 2b

14. 10a + 5b - a - 5b

15. 7b - 3b - 3b

15. 9a + 3b + 4a + 6b

15. 6a + 7b + 3a - 5b

15. 9a + 7b - a + 4b

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Simplifying 2 ANSWERS

TASK 1

TASK 2

TASK 3

TASK 4

1.

-5b

1.

8a + 6b

1.

13a

1.

9a + 6b

2.

x

2.

14a + 11b

2.

12a

2.

-a + 4b

3.

3d

3.

16a + 12b

3.

7a + 5b

3.

-2a + 10b

4.

0

4.

9a + 9b

4.

13a

4.

4a + 14b

5.

3b

5.

15a + 7b

5.

5a + 14b

5.

3a - b

6.

6c

6.

8a + 7b

6.

6a + 10b

6.

2a

7.

2x

7.

13a + 9b

7.

6a + 8b

7.

-a + 13b

8.

-6a

8.

10a + 7b

8.

2a + 4b

8.

10a + 2b

9.

-f

9.

13a + 10b

9.

11a + 3b

9.

-3a - 2b

10.

4a

10.

13a + 7b

10.

4a + 3b

10.

2a + 5b

11.

8b

11.

13a + 11b

11.

8a + 6b

11.

13a

12.

8e

12.

12a + 9b

12.

7a + 10b

12.

2a - 2b

13.

5x

13.

11a + 10b

13.

4a + 10b

13.

5a + b

14.

0

14.

16a + 10b

14.

2a + 3b

14.

9a

15.

b

15.

13a + 9b

15.

9a + 2b

15.

8a + 11b

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a-b

4a + 5b - 3a + b

3a + 3b - 4a - 3b

3a + 3b - a - 4b

-a + 4b

3a + 3b - 2a - 3b

-2a - 2b

-a - 2b 4a + 2b - 2a + 2b

-4a + b

-2a - b

-3b

-4a - b

2a + 5b - 5a - 4b

a + 5b - 6a - 5b

a + 3b - a - 2b

2a + 2b + a - 2b

-2a + 2b

-2a + 3b

3a + 2b - 3a - 5b

2a + 2b - 6a - 3b

a + 2b - 3a - 3b

2a + 2b - 3a - 4b

4a + 6b

2a + 2b - 4a - 4b

3a + 4b - 6a + b

-2a + 5b

b

4a + 2b - 3a - 3b 4a + 3b + 2a - 4b

2a + 5b - 3a + b

2a + 5b - 4a - 2b

4a + 3b - 6a + b

-2a + 4b

3a + 3b - 2a - 2b

-5a

-3a + 6b

2a + 5b - 6a - b

a + 4b - 5a - 3b

-2a + b 2a + 4b - 5a + 2b

a + 5b - 3a - 3b

-3a + 5b

-a + 6b

-3a + b

2a + 4b - 6a - 4b -4a + 4b

2a - b

2a + 5b - 4a - 4b

2a + 2b - 3a + 2b

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6a - b

a a + 2b - 3a + 3b 3a + 4b + a + 2b

-4a

-a

3a

a + 6b

2a + 4b

a+b