Terms, Factors, & Coefficients - Algebra 2
Card 1 of 30
Identify the constant factor in the term $15mn$.
Identify the constant factor in the term $15mn$.
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$15$. The numerical part of the term.
$15$. The numerical part of the term.
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Identify the coefficient of $x$ in the expression $ rac{1}{2}x-3$.
Identify the coefficient of $x$ in the expression $ rac{1}{2}x-3$.
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$ rac{1}{2}$. The fraction multiplying the variable $x$.
$ rac{1}{2}$. The fraction multiplying the variable $x$.
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What does it mean for an expression to be a sum of terms?
What does it mean for an expression to be a sum of terms?
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It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.
It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.
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Identify the top-level terms in the expression $4x-(2x-7)$.
Identify the top-level terms in the expression $4x-(2x-7)$.
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$4x$ and $-(2x-7)$. The subtraction creates two main terms.
$4x$ and $-(2x-7)$. The subtraction creates two main terms.
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Identify the terms in the expression $2(a-3)+5$.
Identify the terms in the expression $2(a-3)+5$.
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$2(a-3)$ and $5$. Each part separated by addition at the top level.
$2(a-3)$ and $5$. Each part separated by addition at the top level.
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Identify the coefficient of $x^2y$ in the term $9x^2y$.
Identify the coefficient of $x^2y$ in the term $9x^2y$.
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$9$. The number multiplying the entire variable part.
$9$. The number multiplying the entire variable part.
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Identify the coefficient of $y$ in the expression $4x+3y-2$.
Identify the coefficient of $y$ in the expression $4x+3y-2$.
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$3$. The number multiplying the variable $y$.
$3$. The number multiplying the variable $y$.
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What is the implied coefficient of $-x$ in the term $-x$?
What is the implied coefficient of $-x$ in the term $-x$?
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$-1$. The negative sign indicates coefficient $-1$.
$-1$. The negative sign indicates coefficient $-1$.
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What is the implied coefficient of $x$ in the term $x$?
What is the implied coefficient of $x$ in the term $x$?
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$1$. When no coefficient is written, it equals $1$.
$1$. When no coefficient is written, it equals $1$.
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Identify the constant term in the expression $12-3x+2x^2$.
Identify the constant term in the expression $12-3x+2x^2$.
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$12$. The term with no variables attached.
$12$. The term with no variables attached.
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What does it mean for an expression to be a sum of terms?
What does it mean for an expression to be a sum of terms?
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It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.
It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.
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What is the leading coefficient of the polynomial $6x^4-2x+3$?
What is the leading coefficient of the polynomial $6x^4-2x+3$?
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$6$. The coefficient of the highest degree term.
$6$. The coefficient of the highest degree term.
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Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.
Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.
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$-1$. The negative sign indicates coefficient $-1$.
$-1$. The negative sign indicates coefficient $-1$.
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Identify the number of terms in the expression $5x^2y-2y+9$.
Identify the number of terms in the expression $5x^2y-2y+9$.
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$3$. Count parts separated by plus or minus signs.
$3$. Count parts separated by plus or minus signs.
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Identify the coefficient of $x^2$ in the expression $-4x^2+9x-1$.
Identify the coefficient of $x^2$ in the expression $-4x^2+9x-1$.
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$-4$. The number multiplying $x^2$ in the term.
$-4$. The number multiplying $x^2$ in the term.
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Identify the factors of the expression $x^2+5x$ as a product.
Identify the factors of the expression $x^2+5x$ as a product.
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$x(x+5)$. Common factor $x$ factored out.
$x(x+5)$. Common factor $x$ factored out.
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Identify the factors of the expression $x^2-9$ as a product.
Identify the factors of the expression $x^2-9$ as a product.
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$(x-3)(x+3)$. Factored form of the difference of squares.
$(x-3)(x+3)$. Factored form of the difference of squares.
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Which part of $8(x-1)(x+2)$ is the coefficient of the product $(x-1)(x+2)$?
Which part of $8(x-1)(x+2)$ is the coefficient of the product $(x-1)(x+2)$?
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$8$. The number multiplying the entire parenthetical expression.
$8$. The number multiplying the entire parenthetical expression.
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Identify the factors of the term $-14x^3$.
Identify the factors of the term $-14x^3$.
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$-14$ and $x^3$. The coefficient $-14$ and variable part $x^3$.
$-14$ and $x^3$. The coefficient $-14$ and variable part $x^3$.
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What is the greatest common factor of the terms $6x^2$ and $9x$?
What is the greatest common factor of the terms $6x^2$ and $9x$?
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$3x$. Factor out the highest power common to both terms.
$3x$. Factor out the highest power common to both terms.
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Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.
Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.
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$-1$. The negative sign indicates coefficient $-1$.
$-1$. The negative sign indicates coefficient $-1$.
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Identify the coefficient of $x^2y^3$ in the term $x^2y^3$.
Identify the coefficient of $x^2y^3$ in the term $x^2y^3$.
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$1$. When no number is shown, coefficient is $1$.
$1$. When no number is shown, coefficient is $1$.
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Which expression shows $-6x^2y$ as a product of a coefficient and variable factors?
Which expression shows $-6x^2y$ as a product of a coefficient and variable factors?
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$-6 imes x^2 imes y$. Shows coefficient separated from variable factors.
$-6 imes x^2 imes y$. Shows coefficient separated from variable factors.
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Identify the factors of the term $4x^2y$ written as a product of three factors.
Identify the factors of the term $4x^2y$ written as a product of three factors.
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$4 imes x^2 imes y$. Breaking down into coefficient, $x^2$, and $y$.
$4 imes x^2 imes y$. Breaking down into coefficient, $x^2$, and $y$.
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Identify the constant term in the simplified form of $-(x-5)$.
Identify the constant term in the simplified form of $-(x-5)$.
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$5$. From distributing: $-x + 5$, the constant is $5$.
$5$. From distributing: $-x + 5$, the constant is $5$.
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Identify the coefficient of $x$ in the expression $-(x-5)$ after simplifying.
Identify the coefficient of $x$ in the expression $-(x-5)$ after simplifying.
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$-1$. Distribute the negative: $-x + 5$, so coefficient is $-1$.
$-1$. Distribute the negative: $-x + 5$, so coefficient is $-1$.
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What is the meaning of the coefficient in the term $kx$ when $k$ is a constant?
What is the meaning of the coefficient in the term $kx$ when $k$ is a constant?
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$k$ is the number multiplying $x$. It represents how many times $x$ is counted.
$k$ is the number multiplying $x$. It represents how many times $x$ is counted.
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Identify the coefficient of $x^0$ in the polynomial $4x^2-3x+9$.
Identify the coefficient of $x^0$ in the polynomial $4x^2-3x+9$.
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$9$. The constant term is the coefficient of $x^0$.
$9$. The constant term is the coefficient of $x^0$.
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Identify the variable part of the term $-12x^3y$.
Identify the variable part of the term $-12x^3y$.
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$x^3y$. All the variable parts with their exponents.
$x^3y$. All the variable parts with their exponents.
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Identify the constant factor in the term $ rac{7}{3}x^4$.
Identify the constant factor in the term $ rac{7}{3}x^4$.
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$ rac{7}{3}$. The fractional coefficient of the variable part.
$ rac{7}{3}$. The fractional coefficient of the variable part.
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