simplifying equations
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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
………………………………
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(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)
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(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)
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(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
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..................................... (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)
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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)
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(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)
Khalid Mazhar Qureshi www.edexcel-cie.com
14. Simplify fully
(i) 54 mm
……………………………..
(ii) 26 pp
………………………………
(iii) 3
62
q
………………………………
(iv) 83 25 xyyx
………………………………
(v)
8
84 2
k
k
…………………………….. (Total 6 marks)
15. Simplify fully
(i) 54 mm
……………………………..
(ii) 26 pp
………………………………
Khalid Mazhar Qureshi www.edexcel-cie.com
(iii) 3
62
q
………………………………
(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)
Khalid Mazhar Qureshi www.edexcel-cie.com
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)
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(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)
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(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)
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(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)
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(d) Solve 5y + 3 = 15
y = ……….. (2)
(Total 5 marks)
30. Simplify fully (3xy2)4
…………………. (Total 2 marks)
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