Chapter 8.2, Problem 86CCR

To determine

An expression in simplest form that represents the total amount of CDs Zane and Sage have altogether

Answer to Problem 86CCR

The expression is $2x+24$ .

Explanation of Solution

Given:

Zane has a collection of CDs. Sage’s collection has 24 more CDs than Zane

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 Zane has CDs is $x$

Then Sage’s has is $x+24$

Total number of CDs Zane and Sage have altogether is below

  $\begin{array}{c}x+\left(x+24\right)\\ 2x+24\end{array}$

Thus, the expression is $2x+24$ .