Question

q3 - accelerated mathematics gr 8 | quiz 3

1. what is the first operation to perform when solving $\frac{b+c}{d}=e$ for $b$

a. subtract e from both sides
b. divide both sides by e
c. multiply both sides by d
d. add e to both sides

Explanation:

Step1: Identify target variable

We need to isolate $k$ in $\frac{k+c}{d}=e$.

Step2: Eliminate denominator first

The variable $k$ is in a numerator divided by $d$. To undo division by $d$, multiply both sides by $d$.
<Expression>$\frac{k+c}{d} \times d = e \times d$ simplifies to $k+c = ed$</Expression>

Step3: Verify first operation

This first step removes the denominator, making it possible to then isolate $k$ by subtracting $c$.

Answer:

c. Multiply both sides by d