Problem 142 - Introductory Algebra for College Students

Question

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Fractions frustrated me in arithmetic, so I'm glad I won't have to use them in algebra.

Step-by-Step Solution

Answer

The statement does not make sense because fractions are used in both arithmetic and algebra. They are a basic concept in math that represent any number that is not whole and can be coefficients or variables in algebraic equations.

Step 1: Understanding the Statement

The statement is saying that the person was confused by fractions when doing arithmetic, and therefore, is relieved that they will not have to deal with them in algebra.

Step 2: Statement Verification

It doesn't make sense because fractions are not just part of arithmetic, they are also a crucial part of algebra. Fractions are used to represent numbers that are not whole, and in algebra, these can be coefficients of variables or the variables themselves.

Step 3: Providing Examples

For example, solving an equation such as \( \frac{3}{4}x+2=8 \) involves fractions. You have to work with the fractions to isolate the variable and find its value.