CPM Homework Help : CC2 Problem 6-31

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.

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

Hint:

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.

Name a constant.
Answer (a):
$7$
What are the two factors in $2(4x+1)$ ? What are the two factors in $4x$ ?
Answer (b):
$2$ and $4x+1$ ; $4$ and $x$
Write an expression with a variable $m$ , a coefficient $−3$ , and a constant of $17$ .
Use the words coefficient, constant, term, expression, variable, and factor to describe $4x^2+11y-37$ .
Hint (d):
Refer to the Math Notes above.
Use the words factor, product, quotient, and sum to describe the parts of $\frac { 5 - m } { n } - 2 - 8 ( m + n )$ .