Home Chapter 7 LO 7-1.1: Identify equations, terms, factors, constants, variables, and coefficients

# LO 7-1.1: Identify equations, terms, factors, constants, variables, and coefficients

An equation is a statement that two quantities are equal. A variable is a letter that represents an unknown value. A root or solution of an equation is the value of the variable that makes the equation a true statement.

x = 4 + 3 is an equation. x is the variable. 7 is the root or solution.

Factors are expressions of multiplication.

3x means 3 times x. 3 is a factor of 3x. x is a factor of 3x.

Terms are algebraic expressions that are added or subtracted.

In the expression 2m + 3n + 8, 2m is a term and 3n is a term. 8 is a term.

Constants are terms that contain only numbers.

In 2m + 3n + 8, the constant term is 8.

Variable terms are terms that have at least one letter.

In 5a + 3b + 7, 5a and 3b are variable terms.

A coefficient is one factor as it relates to the remaining factors of a term.

In 2m + 3n + 8, 2 is the coefficient of m and 3 is the coefficient of n. 8 has no coefficient. The coefficients 2 and 3 are also called the numerical coefficients.

## Practice Exercises

This activity contains 5 questions.

## Identify the statement that is a true equation.

 5 – 7 = 2 (–6) + (–1) = 7 (–6)(–2) = 8 2(–3) = –6

## Solve the equation: x = (–3) + 5.

 x = –2 x = 2 x = –8 x = 8

## Identify the algebraic expression that contains two terms.

 2(y – 5) 3x + 7 x + 4y – 9

 1 6 a

## Identify the numerical coefficient of the term: 2(x – 5).

 –10 –5 1 2