Terms, Factors, & Coefficients - Algebra 1

Identify the factors of the term $-5xy$ .

Factors: $-5$ , $x$ , and $y$ . All quantities multiplying together are factors.
Identify the constant term in the expression $2x^3+7x-1$ .

$-1$ . The constant term has no variable.
What is the coefficient of $y$ in the expression $6y+2$ ?

$6$ . The coefficient is the number multiplying $y$ .
What is the coefficient of $x^2$ in the term $-6x^2$ ?

$-6$ . The coefficient includes the negative sign.
What is the coefficient of $x$ in the term $9x$ ?

$9$ . The coefficient is the number multiplying the variable.
What is the coefficient of $ab$ in the term $12ab$ ?

$12$ . The coefficient is the number multiplying both variables.
Identify the factors of the term $3(x-4)$ .

Factors: $3$ and $(x-4)$ . Both the number and binomial are factors.
What is the coefficient of $x$ in the term $-0.2x$ ?

$-0.2$ . The coefficient includes the negative sign.
Identify the constant term in the expression $-(x-4)+6$ .

$6$ . The constant term has no variable.
What is the coefficient of $(x-4)$ in the term $-(x-4)$ ?

$-1$ . The negative sign makes the coefficient $-1$ .
What is the coefficient of $x^3$ in the expression $2x^3+7x-1$ ?

$2$ . Look for the number multiplying $x^3$ .
Identify the factors of the term $2(x+5)$ .

Factors: $2$ and $(x+5)$ . Both the number and binomial are factors.
What is the coefficient of $x$ in the expression $x-4$ ?

$1$ . When no number is shown, the coefficient is $1$ .
Identify the terms in the expression $x^2-9$ .

Terms: $x^2$ and $-9$ . Identify each part separated by the $-$ sign.
How many terms are in the expression $3x+5$ ?

$2$ terms. Count parts separated by $+$ or $-$ signs.
Identify the terms in the expression $7x-2y+9$ .

Terms: $7x$ , $-2y$ , $9$ . Identify each part separated by $+$ or $-$ signs.
Identify the factors of the expression $(x+2)(x-5)$ .

Factors: $(x+2)$ and $(x-5)$ . The two binomials multiply to form the expression.
What is the coefficient of $(x+5)$ in the term $2(x+5)$ ?

$2$ . The coefficient is the number multiplying the binomial.
What is the coefficient of $x^2y$ in the term $9x^2y$ ?

$9$ . The coefficient is the number multiplying the variables.
How many terms are in the expression $-4x^2+3x-8$ ?

$3$ terms. Count parts separated by $+$ or $-$ signs.
What is the coefficient of $x$ in the expression $x^2+5x+6$ ?

$5$ . The coefficient is the number multiplying $x$ .
Identify the terms in the expression $2(x+5)-3$ .

Terms: $2(x+5)$ and $-3$ . Identify each part separated by the $-$ sign.
Identify the factors of the term $9x^2y$ .

Factors: $9$ , $x^2$ , and $y$ . All quantities multiplying together are factors.
Identify the factors of the term $\frac{2}{3}x$ .

Factors: $\frac{2}{3}$ and $x$ . Both the fraction and variable are factors.
Identify the factors of the term $x^2$ .

Factors: $x$ and $x$ . $x^2$ means $x$ multiplied by itself.
What is a factor in an algebraic expression?

A quantity multiplied by other quantities in a product. Factors are quantities that multiply together to form a product.
What is a term in an algebraic expression?

A part separated by $+$ or $-$ in an expression. Terms are separated by addition or subtraction signs.
Identify the terms in the expression $-(x-4)+6$ .

Terms: $-(x-4)$ and $6$ . Identify each part separated by the $+$ sign.
Which term is the middle term in the expression $x^2+5x+6$ ?

$5x$ . The middle term is between the first and last terms.
What is a constant term?

A term with no variable, such as $7$ or $-3$ . A constant term contains only numbers, no variables.
Identify the terms in the expression $-4x^2+3x-8$ .

Terms: $-4x^2$ , $3x$ , $-8$ . Identify each part separated by $+$ or $-$ signs.
What is the coefficient of $x$ in the term $-x$ ?

$-1$ . When no number is shown, the coefficient is $-1$ .
What is the coefficient of $y$ in the term $\frac{3}{4}y$ ?

$\frac{3}{4}$ . The coefficient is the fraction multiplying the variable.
Identify the variable term in the expression $4x-11$ .

$4x$ . The variable term contains a variable.
Identify the constant term in the expression $6y+2$ .

$2$ . The constant term has no variable.
What is a coefficient?

The numerical factor multiplying a variable term. The coefficient is the number that multiplies the variable.
Which term is the constant in the expression $-4x^2+3x-8$ ?

$-8$ . The constant term has no variable.
Identify the factors of the term $12x$ .

Factors: $12$ and $x$ . Factors are quantities that multiply to form the term.
How many terms are in the expression $2(x+5)-3$ ?

$2$ terms. Count parts separated by $+$ or $-$ signs.
What is the coefficient of $x$ in the term $x$ ?

$1$ . When no number is shown, the coefficient is $1$ .
Identify the constant term in the expression $x-4$ .

$-4$ . The constant term has no variable.
How many terms are in the expression $7x-2y+9$ ?

$3$ terms. Count parts separated by $+$ or $-$ signs.
Identify the constant term in the expression $4x-11$ .

$-11$ . The constant term has no variable attached.
What is the coefficient of $x$ in the expression $-4x^2+3x-8$ ?

$3$ . The coefficient of $x$ is $3$ .
How many terms are in the expression $x^2-9$ ?

$2$ terms. Count parts separated by $+$ or $-$ signs.
Identify the terms in the expression $5-3x+2x^2$ .

Terms: $5$ , $-3x$ , $2x^2$ . Identify each part separated by $+$ or $-$ signs.
What is the numerical coefficient in the term $-8x^3$ ?

$-8$ . The numerical coefficient includes the negative sign.
What is the coefficient of $x$ in the term $0.5x$ ?

$0.5$ . The coefficient is the decimal number.
Which part of $-7(x+3)$ is a factor that is a binomial?

$(x+3)$ . The binomial factor is the expression in parentheses.
Which part of $-7(x+3)$ is the coefficient?

$-7$ . The coefficient is the number multiplying the binomial.

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