  ### Home > CC2MN > Chapter 7 > Lesson 7.1.3 > Problem7-31

7-31.

MATH TALK

Read the Math Notes box in this lesson to review commonly used algebra vocabulary. Then consider the expression below as you answer the following questions.

$3x^2+7-2(4x+1)$

See the Math Notes below.

#### Math Vocabulary

Variable: A letter or symbol that represents one or more numbers.

Expression: A combination of numbers, variables, and operation symbols.  An expression does not contain an equal sign.  For example: $2x+3(5-2x)+8$.  Also, $5-2x$ is a smaller expression within the larger expression.

Terms: Parts of the expression separated by addition and subtraction.  For example, in the expression $2x+3(5-2x)+8$, the three terms are $2x$$3(5-2x)$, and $8$.  The expression $5-2x$ has two terms, $5$ and $2x$.

Coefficient: The numerical part of a term.  In the expression $2x+3(5-2x)+8$$2$ is the coefficient of $2x$.  In the expression $7x-15x^2$, both $7$ and $15$ are coefficients.

Constant term: A number that is not multiplied by a variable.  In the example above, $8$ is a constant term.  The number $3$ is not a constant term because it is multiplied by a variable inside the parentheses.

Factor: Part of a multiplication expression.  In the expression $3(5-2x)$, 3 and $5-2x$ are factors.

1. Name a constant.

$7$

2. What are the two factors in $2(4x+1)$? What are the two factors in $4x$?

$2$ and $4x+1$; $4$ and $x$

3. Write an expression with a variable $m$, a coefficient $−3$, and a constant of $17$.

4. Use the words coefficient, constant, term, expression, variable, and factor to describe $4x^2+11y-37$.

Refer to the Math Notes above.

5. Use the words factor, product, quotient, and sum to describe the parts of $\frac { 5 - m } { n } - 2 - 8 ( m + n )$.