simplifying equations

1. y = 4x – 5

(a) Find the value of x when y = 1

x = …………………. (2)

(b) (i) Simplify pq + pq + pq

…………………………

(ii) Simplify k2 + k2

………………………... (2)

(Total 4 marks)

2. Simplify fully

(i) m4 × m5

……………………………..

(ii) p6 ÷ p2

………………………………

(iii) 5x3y × 2xy8

………………………………

Khalid Mazhar Qureshi www.edexcel-cie.com

(iv)

8

84 2

k

k

…………………………….. (Total 5 marks)

3. (a) Simplify 5p + 2q – 3p – 3q

..................................... (2)

y = 5x – 3

(b) Find the value of x when y = 4

x = .............................. (2)

(Total 4 marks)

4. (a) Simplify 4x + 7y + 2x – 3y

………………………… (2)

(b) Simplify 2pq + pq

………………………… (1)

(c) Factorise 3t – 12

………………………… (1)


(d) Expand and simplify 3(2x – 1) – 2(2x – 3)

………………………… (2)

(Total 6 marks)

5. (a) Expand and simplify

3(2x – 1) – 2(2x – 3)

………………………… (2)

(b) Factorise

y2 + y

………………………… (1)

(Total 3 marks)

6. (a) Factorise

9x2 – 6x + 1

…………………………… (2)


(b) Simplify

169

3762

2

xx

xx

…………………………… (3)

(Total 5 marks)

7. (a) Solve 3

–40 x = 4 + x

x = .................... (3)

(b) Simplify fully 9–4

6–42

2

x

xx

........................................ (3)

(Total 6 marks)

8. Simplify 352

942

2

xx

x


..................................... (Total 3marks)

9. (a) Simplify a3 a4

……………………. (1)

(b) Simplify 3x2y 5xy 3

……………………. (2)

(c) Simplify 1

)1( 2

x

x

……………………. (1)

(d) Factorise x2 – 9

……………………. (1)

(Total 5 marks)


10. (a) Simplify a3 a4

…………………… (1)

(b) Simplify 3x2y 5xy 3

…………………… (2)

(c) Simplify 1

)1( 2

x

x

…………………… (1)

(d) Factorise a2 – 9b2

…………………… (2)

(Total 6 marks)

11. Simplify fully

(a) ( )3 2 4xy

……………………. (2)


(b) x x

x x

2

2

3

8 15

……………………. (3)

(Total 5 marks)

12. Simplify xx

x

62

92

2

……………………. (Total 3 marks)

13. 54 xy

(a) Find the value of x when y = 1

x = …………………. (2)

(b) Simplify pq + pq + pq

………………………... (1)

(Total 3 marks)


14. Simplify fully

(i) 54 mm

……………………………..

(ii) 26 pp

………………………………

(iii) 3

62

q

qq

………………………………

(iv) 83 25 xyyx

………………………………

(v)

8

84 2

k

k

…………………………….. (Total 6 marks)

15. Simplify fully

(i) 54 mm

……………………………..

(ii) 26 pp

………………………………


(iii) 3

62

q

qq

………………………………

(iv)

8

84 2

k

k

…………………………….. (Total 4 marks)

16. (a) Simplify

8x + 5y – 3x + y

…………………………… (2)

(b) Solve

2x – 5 = 4

x = …………………………… (2)

(c) Factorise

3m + 15

…………………………… (1)

(Total 5 marks)


17. (a) Simplify

12y3 ÷ 3y5

…………………………… (2)

(b) Simplify

2w3x2 × 3w4x

…………………………… (2)

(Total 4 marks)

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

…………………………………. (Total 2 marks)

19. Simplify fully 5x3y4 × 7xy2

…………………………… (Total 2 marks)

20. (a) Simplify q + q + q + q

……………………. (1)


(b) Simplify 7x + 3y + 2x 2y

……………………. (2)

(Total 3 marks)

21. Simplify

25

)5(2

2

x

xx

…………………… (Total 2 marks)

22. Simplify

3a + 5b + 6a – 2b

............................................... (Total 2 marks)

23. (a) Expand and simplify (3x + 2)(4x + 1)

............................................ (2)


(b) Factorise completely 3x2 + 6xy

............................ (2)

(Total 4 marks)

24. Expand and simplify

(y + 5)(y + 3)

........................................ (Total 2 marks)

25. (a) Factorise completely 2(x – 5)2 + 3(x – 5)

................................ (2)

(b) Simplify 2)4(

)4(3

y

y

................................ (1)

(Total 3 marks)

26. (a) Simplify

x + x + x

............................ (1)


(b) Simplify

2e × 3f

............................ (1)

(Total 2 marks)

27. Simplify

6x + 3y – x + 5y

............................. (Total 2 marks)

28. Expand and simplify (x – 9)(x + 4)

................................ (Total 2 marks)

29. (a) Simplify d + d + d

…………… (1)

(b) Simplify 2c + 4c + c

…………… (1)

(c) Solve x + 7 = –3

x = ……….. (1)


(d) Solve 5y + 3 = 15

y = ……….. (2)

(Total 5 marks)

30. Simplify fully (3xy2)4

…………………. (Total 2 marks)


simplifying equations

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