Question

1. in solving $\frac{q+r}{s} = t$ for $q$, begin by:

a. adding $r$ to both sides
b. multiplying both sides by $s$
c. subtracting $r$ from both sides
d. dividing both sides by $t$

Explanation:

Step1: Analyze the target variable

We need to isolate $q$ in $\frac{q+r}{s}=t$. The first step is to eliminate the denominator $s$ attached to the numerator containing $q$.

Step2: Match to operation

To remove the division by $s$, we multiply both sides by $s$, which gives $\frac{q+r}{s} \times s = t \times s$, simplifying to $q+r = ts$. This is the logical first step before isolating $q$ further.

Answer:

b. Multiplying both sides by $s$