Chapter 1.8, Problem 37PPE

To determine

To Match: The sentence “the square of g is the same as two times the difference of g and 10” with an equation.

A) $g^2=2\left(g-10\right)$

B) $\frac{1}{2}g+32=15+6g$

C) $g^3=24g+4$

D) $3g^2=30+9g$

Answer to Problem 37PPE

The required equation is $g^2=2\left(g-10\right)$ i.e. option A.

Explanation of Solution

Given information:

The sentence “the square of g is the same as two times the difference of g and 10”.

Calculation:

Square of g can be represented as:

  $g^2$

Is can be represented by “=”

Difference of g and 10 can be represented as:

  $g-10$

Two times the difference of g and 10 can be represented as:

  $2\left(g-10\right)$

So, the sentence “the square of g is the same as two times the difference of g and 10”” can be written as:

  $g^2=2\left(g-10\right)$

Thus the correct match is option is A.