Selina solutions

Selina solutions

Grade 6

Simple (Linear) Equations (Including Word Problems) | Exercise 22(B)

Question 1

Q1) Solve:

(i) 2x + 5 = 17

(ii) 3y - 2 = 1

(iii) 5p + 4 = 29

(iv) 4a - 3 = -27

(v) 2z + 3 = -19

(vi) 7m - 1 = 20

(vii) 2.4x - 3 = 4.2

(viii) 4m + 9.4 = 5

(ix) 6y + 4 = -4.4

Solution 1:

(i) 2x + 5 = 17

2x = 17 - 5

2x = 12

x = 6

(ii) 3y - 2 = 1

3y = 1 + 2

3y = 3

y = 1

(iii) 5p + 4 = 29

5p = 29 - 4

5p = 25

p = 5

(iv) 4a - 3 = -27

4a = -27 + 3

4a = -24

a = -6

(v) 2z + 3 = -19

2z = -19 -3

2z = -22

z = -11

(vi) 7m - 1 = 20

7m = 20 + 1

7m = 21

m = 3

(vii) 2.4x - 3 = 4.2

2.4x = 4.2 + 3

2.4x = 7.2

x = 3

(viii) 4m + 9.4 = 5

4m = 5 - 9.4

4m = -4.4

m = -1.1

(ix) 6y + 4 = -4.4

6y = -4.4 -4.0

6y = -8.4

y = -1.4

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subject-cta

Question 1

Q1) Solve:

(i) 2x + 5 = 17

(ii) 3y - 2 = 1

(iii) 5p + 4 = 29

(iv) 4a - 3 = -27

(v) 2z + 3 = -19

(vi) 7m - 1 = 20

(vii) 2.4x - 3 = 4.2

(viii) 4m + 9.4 = 5

(ix) 6y + 4 = -4.4

Solution 1:

(i) 2x + 5 = 17

2x = 17 - 5

2x = 12

x = 6

(ii) 3y - 2 = 1

3y = 1 + 2

3y = 3

y = 1

(iii) 5p + 4 = 29

5p = 29 - 4

5p = 25

p = 5

(iv) 4a - 3 = -27

4a = -27 + 3

4a = -24

a = -6

(v) 2z + 3 = -19

2z = -19 -3

2z = -22

z = -11

(vi) 7m - 1 = 20

7m = 20 + 1

7m = 21

m = 3

(vii) 2.4x - 3 = 4.2

2.4x = 4.2 + 3

2.4x = 7.2

x = 3

(viii) 4m + 9.4 = 5

4m = 5 - 9.4

4m = -4.4

m = -1.1

(ix) 6y + 4 = -4.4

6y = -4.4 -4.0

6y = -8.4

y = -1.4

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