Scholar Zone Summer Math | Grade 7 Student Handbook

PR1ME WEEK 2 I DAY 1

Using the balance method to solve algebraic equations Learn a) Solve x + 6 = 10.

1 1 1 1 1 1

1 1 1 1 1 1 1 1 1 1

6

x

x

10

The scale is balanced.

x + 6

=

10

To find the value of x , remove the same number of cubes from both sides until only x is left on one side.

1 1 1 1 1 1

1 1 1 1 1 1

1 1 1 1

x

x + 6 – 6

=

10 – 6

The scale stays balanced as the same number of cubes have been removed from both sides.

1 1 1 1

x

x

=

4

x = 4 is a solution of x + 6 = 10.

Check: When x = 4 , x + 6 = 4 + 6 = 10

9

34 Scholar Zone Summer: Math

ISBN 978-981-09-0495-1

Made with FlippingBook - Online catalogs