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

Rewrite the equation.

Explanation: Rewrite the equation.

\$((6b)/3 + 3b)/2 = 1\$.

⇒ \$(6b)/3 + 3b = 1 times 2\$

⇒ \$(6b)/3 + 3b = 2\$

Step 1b

Perform operation according to PEMDAS rule.

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

Apply division property.

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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