Scholar Zone Summer Math | Grade 7 Student Handbook

Check: When q = 30 ,

1 2

1 2

× 30 – 5

q – 5 =

PR1ME WEEK 2 I DAY 2

= 15 – 5 = 10

c) Solve Practice s 3 1. Use the balance method to solve these equations. Fill in each with +, –, × or ÷. a) j – 14 = 18 1 2 q – 5 = 10. 1 2 q – 5 + 5 = 10 + 5 q = 15 Add 5 to both sides Practice 3

I can carry out the same operations on both sides until only q is left on one side.

1 2

1 2

q × 2 = 15 × 2

Multiply by 2 on both sides

j – 14 + 14 = 18 +

j =

1

1 2

1 2

q × 2 =

× 2 × q

= q 1

b)

3 f – 19 = 17

q = 30 3 f – 19

= 17

q = 30 is a solution of 1 2

q – 5 = 10.

3 f =

3 f

=

Check: When q = 30 ,

1 2

1 2

× 30 – 5

q – 5 =

f =

= 15 – 5 = 10

11

© 2015 Scholastic Education International (S) Pte Ltd ISBN 978-981-09-0495-1

1 4

c)

g + 11 = 16

1 4

= 16

g + 11

Practice s 3 1. Use the balance method to solve these equations. Fill in each with +, –, × or ÷. a) j – 14 = 18 Practice 3 1 4 g = 1 4 g =

g =

j – 14 + 14 = 18 +

2. Use the balance method to solve these equations.

j =

a)

q + 32 = 51

b) r – 26 = 26

b)

3 f – 19 = 17

= 17

3 f – 19

3 f =

3 f

=

f =

44 Scholar Zone Summer: Math

11

ISBN 978-981-09-0495-1

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