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Example 1 :<br />

Exercises:<br />

Example 2 :<br />

1. Solve the following equations:<br />

(a) 4x = 20<br />

(b) 6x = 24<br />

(c) x<br />

3<br />

(d) x<br />

5<br />

= 5<br />

= 1.2<br />

(e) 2x = 11<br />

<br />

<br />

x<br />

3<br />

x<br />

× 3<br />

3<br />

=<br />

=<br />

2 becomes<br />

2 × 3 multiplying both sides by 3<br />

x = 6<br />

<br />

2<br />

x<br />

7<br />

7 ×<br />

= 4<br />

2<br />

<br />

<br />

x<br />

7<br />

2x<br />

=<br />

=<br />

4 × 7<br />

28<br />

(multiplying both sides by 7)<br />

2x<br />

2<br />

=<br />

28<br />

2<br />

(dividing both sides by 2)<br />

x = 14<br />

(f) 3x = −24<br />

(g) x<br />

2<br />

(h) 3x<br />

4<br />

(i) 2<br />

5<br />

(j) 3m<br />

4<br />

= −7<br />

= −12<br />

m = 10<br />

= −6<br />

Section 3 Multiple Terms<br />

The puzzle page in the newspapers sometimes has puzzles like this example:<br />

Example 1 : Jean is 7 years older than half <strong>of</strong> Tom’s age. If Jean is 35, how old is<br />

Tom? We now write the information that we are given in the form <strong>of</strong> an algebraic<br />

expression. Let Jean’s age be J and Tom’s T . Then<br />

J = 1<br />

T + 7<br />

2<br />

Page 12

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