Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Simplify the expression |
Grade: 8-a Lesson: S1-L6 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Combine the terms in \$(2/3c + 3/5n + 12/13k) - (1/3c - 3/5n + 6/13k)\$.
Step 1a
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The given expression is, \$(2/3c + 3/5n + 12/13k) - (1/3c - 3/5n + 6/13k)\$. |
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Explanation:
The given expression is, \$(2/3c + 3/5n + 12/13k) - (1/3c - 3/5n + 6/13k)\$. The expression contains variables in 'c', 'n' and 'k'. |
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Step 1b
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Perform operations among them. |
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Explanation: Perform operations according to PEMDAS rule. \$(2/3c + 3/5n + 12/13k) - (1/3c - 3/5n + 6/13k)\$ First, do addition and then find the difference among the like terms. ⇒ \$(2/3c + 3/5n + 12/13k) - (1/3c - 3/5n + 6/13k)\$ ⇒ \$2/3c + 3/5n + 12/13k - 1/3c + 3/5n - 6/13k \$ ⇒ \$2/3c - 1/3c + 3/5n + 3/5n + 12/13k - 6/13k\$ ⇒ \$(2/3 - 1/3)c + (3/5 + 3/5)n + (12/13 - 6/13)k\$ ⇒ \$(1/3)c + (6/5)n + (6/13)k\$ ⇒ \$1/3c + 6/5n + 6/13k\$ |
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