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GCSE · Algebra

2.9D Solving One Step Equations: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 30 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Solve x + 7 = 12.

(Total for Question 1 is 1 mark)

Solve y - 5 = 9.

(Total for Question 2 is 1 mark)

Solve 3x = 15.

(Total for Question 3 is 1 mark)

Solve x/4 = 3.

(Total for Question 4 is 1 mark)

Solve t - 8 = 2.

(Total for Question 5 is 1 mark)

Solve -3k = 18.

(Total for Question 6 is 1 mark)

Solve x/5 = -6.

(Total for Question 7 is 1 mark)

Solve 2x = 7. Give the exact value of x.

(Total for Question 8 is 2 marks)

Solve (1/3)p = 4.

(Total for Question 9 is 1 mark)

Solve x + 3.5 = 7.2.

(Total for Question 10 is 1 mark)

Solve 0.25m = 1.5. Show your method.

(Total for Question 11 is 2 marks)

Solve 5 + n = -2.

(Total for Question 12 is 1 mark)

Solve -4x = -10. Give your answer as a fraction in lowest terms.

(Total for Question 13 is 2 marks)

Solve x / 0.2 = 15.

(Total for Question 14 is 1 mark)

Solve 7 = y / (-3).

(Total for Question 15 is 1 mark)

Solve (1/2)k = -3.

(Total for Question 16 is 1 mark)

Solve -(1/3) a = 9. (Multiply both sides to isolate a.)

(Total for Question 17 is 2 marks)

Solve each of the following. Give exact answers where appropriate.
a) 4x = 9
b) x/6 = 2.5
c) -2y = 7

(a)4x = 9(1)

(b)x/6 = 2.5(1)

(c)-2y = 7(1)

(Total for Question 18 is 3 marks)

Solve (3/4)x = 9. Show your method and give the exact value of x.

(Total for Question 19 is 2 marks)

Solve 5 = -x/2. Give your answer exactly.

(Total for Question 20 is 2 marks)

Mark scheme · 2.9D Solving One Step Equations: Fluency and Exam Drill

Question 1

B1 x = 5 cao
Answer: 5

Question 2

B1 y = 14 cao
Answer: 14

Question 3

B1 x = 5 cao
Answer: 5

Question 4

B1 x = 12 cao
Answer: 12

Question 5

B1 t = 10 cao
Answer: 10

Question 6

B1 k = -6 cao
Answer: -6

Question 7

B1 x = -30 cao
Answer: -30

Question 8

M1 divide both sides by 2 or show 2x/2 = 7/2
A1 x = 7/2 cao
Answer: 7/2

Question 9

B1 p = 12 cao
Answer: 12

Question 10

B1 x = 3.7 cao
Answer: 3.7

Question 11

M1 multiply or divide: m = 1.5 / 0.25 or show 0.25m/0.25 = 1.5/0.25
A1 m = 6 cao
Answer: 6

Question 12

B1 n = -7 cao
Answer: -7

Question 13

M1 divide both sides by -4 or equivalent method
A1 x = 5/2 cao
Answer: 5/2

Question 14

B1 x = 3 cao
Answer: 3

Question 15

B1 y = -21 cao
Answer: -21

Question 16

B1 k = -6 cao
Answer: -6

Question 17

M1 multiply both sides by -3 or show (-1/3)a * -3 = 9 * -3
A1 a = -27 cao
Answer: -27

Question 18

(a) B1 x = 9/4 cao
(a) Answer: 9/4
(b) B1 x = 15 cao
(b) Answer: 15
(c) B1 y = -7/2 cao
(c) Answer: -7/2

Question 19

M1 multiply both sides by 4/3 or show x = 9 * (4/3)
A1 x = 12 cao
Answer: 12

Question 20

M1 multiply both sides by -2 or show -x/2 * -2 = 5 * -2
A1 x = -10 cao
Answer: -10

Solving One Step Equations: Fluency and Exam Drill - Worksheets, Questions and Revision