Chapter 8.2, Problem 85CCR

To determine

An expression in simplest form that represents the total amount of money you and your friend have saved

Answer to Problem 85CCR

The equation is $2x+40$

Explanation of Solution

Given:

You have saved some money. Your friend has saved $40 more than you

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find an expression

Let’s assume that you saved money is $x$

Your friend saved money is $x+40$

Total money saved by both is below

  $\begin{array}{c}x+\left(x+40\right)\\ 2x+40\end{array}$

Thus, the equation is $2x+40$ .