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Simplifying Algebra - Worksheets, Questions and Revision

20 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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2.6 Simplifying Algebra

EDEXCEL 1MA1 · Calculator allowed · about 50 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Simplify 5a + 3a
(Total for Question 1 is 1 mark)
2
Simplify 9b - 4b
(Total for Question 2 is 1 mark)
3
Simplify 3x + 2x + 4x
(Total for Question 3 is 1 mark)
4
Simplify 6p + 3q - 2p + 5q
(Total for Question 4 is 2 marks)
5
Simplify 7m - 2n - 3m + 6n
(Total for Question 5 is 2 marks)
6
Simplify each expression.
(a)a x a(1)
(b)b x b x b(1)
(Total for Question 6 is 2 marks)
7
Simplify each expression.
(a)3a x 2b(1)
(b)5x x 4y(1)
(Total for Question 7 is 2 marks)
8
Simplify each expression.
(a)12a / 4(1)
(b)20b / 5(1)
(Total for Question 8 is 2 marks)
9
Expand 4(x + 3)
(Total for Question 9 is 2 marks)
10
Expand 5(2y - 3)
(Total for Question 10 is 2 marks)
11
Expand and simplify 3(x + 2) + 2x
(Total for Question 11 is 2 marks)
12
Expand and simplify 4(a + 1) - 3
(Total for Question 12 is 2 marks)
13
A pen costs p pence. A pencil costs 15 pence less than a pen.
(a)Write down an expression, in terms of p, for the cost of the pencil in pence.(1)
(b)Write down and simplify an expression, in terms of p, for the total cost, in pence, of 3 pens and 2 pencils.(2)
(Total for Question 13 is 3 marks)
14
Which of these expressions is equivalent to 5a + 3a - 2a?
  • A) 6a
  • B) 10a
  • C) 0
  • D) 8a
(Total for Question 14 is 1 mark)
15
The diagram shows a rectangle. The length is (x + 3) cm and the width is (2x - 1) cm. Write down an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
Diagram NOT accurately drawn
(x + 3) cm (2x - 1) cm
(Total for Question 15 is 3 marks)
16
Simplify fully 6a + 3b - 2a - 5b + a
(Total for Question 16 is 2 marks)
17
Simplify each expression.
(a)a2 x a5(1)
(b)a7 / a3(1)
(Total for Question 17 is 2 marks)
18
Expand and simplify 3(x + 4) - 2(x - 1)
(Total for Question 18 is 3 marks)
19
Show that 2(3x + 5) - 4 = 6x + 6
(Total for Question 19 is 2 marks)
20
The cost, C pounds, of hiring a bike for h hours is given by C = 4(h + 3) - 2(h - 1)
(a)Show that C = 2h + 14(2)
(b)Hence, or otherwise, work out the cost of hiring the bike for 5 hours.(1)
(Total for Question 20 is 3 marks)
Mark scheme · 2.6 Simplifying Algebra

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

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Question 1

1 mark

Question 2

1 mark

Question 3

1 mark

Question 4

2 marks

Question 5

2 marks

Question 6

2 marks
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Question 7

2 marks
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Question 8

2 marks
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Question 9

2 marks

Question 10

2 marks

Question 11

2 marks

Question 12

2 marks

Question 13

3 marks
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Question 14

1 mark
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Question 15

3 marks

Question 16

2 marks

Question 17

2 marks
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Question 18

3 marks

Question 19

2 marks

Question 20

3 marks
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