Table of Contents
Table of Contents
Table of Contents
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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 />
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