Sec 2 G1 Maths Solving linear equations worksheet with answers

A free Sec 2 G1 Maths worksheet on solving linear equations: 7 questions, 30 marks, short questions first and then structured ones, in the school exam style. The answers and full worked solutions are on the last page.

In the print window, choose Save as PDF to download it.

Or practise it online with step-by-step help when you get one wrong.

Try a question: Solving linear equations

Free · no sign-up

Answer a real practice question. Get it wrong and MugCorner shows you where it went wrong, with hints and a step-by-step guide.

MugCornerT-Leng Tuition · mugcornersg.com

Sec 2 G1 Maths worksheet: Solving linear equations

Total: 30 marksSuggested time: 50 minutes

Name: ______________________________Class: ____________ Date: ____________

Answer all questions. Show all your working. Give non-exact answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless the question says otherwise.

Section A

A tin has some 20-cent coins and

9

more 50-cent coins than 20-cent coins. The coins are worth $15.00 altogether. Find the number of 20-cent coins.

Answer[2]

The length of the rectangle is

2

times its width. Its perimeter is

18

cm. Find its area.

Answer[2]

(a)Solve

-3(4x - 7) = 117

Answer (a)[2]

(b)Solve

2(x + 2) = 6(3x + 6)

Answer (b)[2]

(a)Solve

6x + 15 = 27

Answer (a)[2]

(b)Solve

9 - 9x = -81

Answer (b)[2]

(a)Solve

6x - 4 = 8

Answer (a)[2]

(b)Solve

4x - 9 = 5x - 15

Answer (b)[2]

Section B

(a)Solve

-3(x + 8) = -3

Answer (a)[2]

(b)Solve

6x + 9 = 7x - 12

Answer (b)[2]

(c)The length of the rectangle is

5

times its width. Its perimeter is

36

cm. Find its area.

Answer (c)[2]

(a)Solve

3(2x - 8) = 2(4x - 4)

Answer (a)[2]

(b)At a zoo, an adult ticket costs $

16

and a child ticket costs $

13

. A group has twice as many children as adults, and pays $

84

for the tickets. Find the number of adults.

Answer (b)[2]

(c)(i)Solve

6x - 4 = 8

Answer (c)(i)[2]

(c)(ii)Solve

5x - 8 = x - 4

Answer (c)(ii)[2]

END OF PAPER

Answers and worked solutions

Question 1

Answer:

x = 15

[2]

20x + 50(x + 9) = 1500

70x + 450 = 1500

70x = 1050

x = 15

Question 2

Answer:

\mathstrut 6 \times 3 =

18

cm²[2]

2x

2(2x + x) = 18

6x = 18

x = 3

\mathstrut 6 \times 3 =

18

cm²

Question 3

(a)Answer:

x = -8

[2]

-12x + 21 = 117

-12x = 117 - 21

-12x = 96

x = -8

(b)Answer:

x = -2

[2]

2x + 4 = 18x + 36

2x - 18x = 36 - 4

-16x = 32

x = -2

Question 4

(a)Answer:

x = 2

[2]

6x = 27 - 15

6x = 12

x = 2

(b)Answer:

x = 10

[2]

-9x = -81 - 9

-9x = -90

x = 10

Question 5

(a)Answer:

x = 2

[2]

6x = 8 + 4

6x = 12

x = 2

(b)Answer:

x = 6

[2]

4x - 5x = -15 + 9

-x = -6

x = 6

Question 6

(a)Answer:

x = -7

[2]

-3x - 24 = -3

-3x = -3 + 24

-3x = 21

x = -7

(b)Answer:

x = 21

[2]

6x - 7x = -12 - 9

-x = -21

x = 21

(c)Answer:

\mathstrut 15 \times 3 =

45

cm²[2]

5x

2(5x + x) = 36

12x = 36

x = 3

\mathstrut 15 \times 3 =

45

cm²

Question 7

(a)Answer:

x = -8

[2]

6x - 24 = 8x - 8

6x - 8x = -8 + 24

-2x = 16

x = -8

(b)Answer:

x = 2

[2]

2x

16x + 13(2x) = 84

42x = 84

x = 2

(c)(i)Answer:

x = 2

[2]

6x = 8 + 4

6x = 12

x = 2

(c)(ii)Answer:

x = 1

[2]

5x - x = -4 + 8

4x = 4

x = 1

Sec 2 G1 Maths Solving linear equations worksheet with answers

In the print window, choose Save as PDF to download it.

Or practise it online with step-by-step help when you get one wrong.

Answers and worked solutions

Question 1

Answer:

x = 15

[2]

20x + 50(x + 9) = 1500

70x + 450 = 1500

70x = 1050

x = 15

Question 2

Answer:

\mathstrut 6 \times 3 =

18

cm²[2]

2x

2(2x + x) = 18

6x = 18

x = 3

\mathstrut 6 \times 3 =

18

cm²

Question 3

(a)Answer:

x = -8

[2]

-12x + 21 = 117

-12x = 117 - 21

-12x = 96

x = -8

(b)Answer:

x = -2

[2]

2x + 4 = 18x + 36

2x - 18x = 36 - 4

-16x = 32

x = -2

Question 4

(a)Answer:

x = 2

[2]

6x = 27 - 15

6x = 12

x = 2

(b)Answer:

x = 10

[2]

-9x = -81 - 9

-9x = -90

x = 10

Question 5

(a)Answer:

x = 2

[2]

6x = 8 + 4

6x = 12

x = 2

(b)Answer:

x = 6

[2]

4x - 5x = -15 + 9

-x = -6

x = 6

Question 6

(a)Answer:

x = -7

[2]

-3x - 24 = -3

-3x = -3 + 24

-3x = 21

x = -7

(b)Answer:

x = 21

[2]

6x - 7x = -12 - 9

-x = -21

x = 21

(c)Answer:

\mathstrut 15 \times 3 =

45

cm²[2]

5x

2(5x + x) = 36

12x = 36

x = 3

\mathstrut 15 \times 3 =

45

cm²

Question 7

(a)Answer:

x = -8

[2]

6x - 24 = 8x - 8

6x - 8x = -8 + 24

-2x = 16

x = -8

(b)Answer:

x = 2

[2]

2x

16x + 13(2x) = 84

42x = 84

x = 2

(c)(i)Answer:

x = 2

[2]

6x = 8 + 4

6x = 12

x = 2

(c)(ii)Answer:

x = 1

[2]

5x - x = -4 + 8

4x = 4

x = 1