Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Solve the equation |
Grade: 9-a Lesson: S2-L1 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Solve \$((6b)/3 + 3b)/2 = 1\$.
Step 1a
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Rewrite the equation. |
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Explanation:
Rewrite the equation. \$((6b)/3 + 3b)/2 = 1\$. ⇒ \$(6b)/3 + 3b = 1 times 2\$ ⇒ \$(6b)/3 + 3b = 2\$ |
Step 1b
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Perform operation according to PEMDAS rule. |
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Explanation: Perform operation according to PEMDAS rule. ⇒ \$(6b)/3 + 3b = 2\$ ⇒ \$(6b + 9b)/3 = 2\$ ⇒ \$(15b)/3 = 2\$ ⇒ \$15b = 2 times 3\$ ⇒ \$15b = 6\$ |
Step 1c
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Apply division property. |
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Explanation: Divide both sides of the equation by 3. ⇒ \$(15b)/3 = 6/3\$ ⇒ \$(cancel15^5b)/cancel3^1 = cancel6^2/cancel3^1\$ ⇒ \$(5b)/1 = 2/1\$ ⇒ \$5b = 2\$ Again divide both sides of the equation by 5. ⇒ \$(5b)/5 = 2/5\$ ⇒ \$(cancel5^1b)/cancel5^1 = 2/5\$ ⇒ \$b/1 = 2/5\$ ⇒ \$b = 2/5\$ |
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