Q40. - Algebra 1

Question

Determine the equation of the sentence “One half of g plus thirty-two is as much as the sum of fifteen and six-times g”.

A. $g^2=2\left(g-10\right)$

B. $\frac{1}{2}g+32=15+6g$

C. $g^3=24g+4$

D. $3g^2=30+9g$

Step-by-Step Solution

Answer

The equation is $\frac{1}{2}g+32=15+6g$. The correct option is (B).

Step 1. Given information.

The given sentence is:

One-half of g plus thirty-two is as much as the sum of fifteen and six-times g.

Step 2. Break the sentence and write an expression.

The expression for one-half of g is $\frac{1}{2}g$, and the expression for six-times g is 6g.

So, the sum of fifteen and six-times g is $15+6g$.

Step 3. Write the equation.

Since, $\frac{1}{2}g$ plus thirty-two is as much as $15+6g$.

Therefore,

 $\frac{1}{2}g+32=15+6g$

This is the required equation.