Algebra 2 Flashcards: Terms Factors And Coefficients

What this deck covers

This deck focuses on Terms Factors And Coefficients, giving you a quick way to review the definitions, rules, and examples that matter most for Algebra 2.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Identify the constant factor in the term $15mn$.

Answer: $15$. The numerical part of the term.

Flashcard 2: Identify the coefficient of $x$ in the expression rac{1}{2}x-3.

Answer: rac{1}{2}. The fraction multiplying the variable $x$.

Flashcard 3: What does it mean for an expression to be a sum of terms?

Answer: It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.

Flashcard 4: Identify the top-level terms in the expression $4x-(2x-7)$.

Answer: $4x$ and $-(2x-7)$. The subtraction creates two main terms.

Flashcard 5: Identify the terms in the expression $2(a-3)+5$.

Answer: $2(a-3)$ and $5$. Each part separated by addition at the top level.

Flashcard 6: Identify the coefficient of $x^2y$ in the term $9x^2y$.

Answer: $9$. The number multiplying the entire variable part.

Flashcard 7: Identify the coefficient of $y$ in the expression $4x+3y-2$.

Answer: $3$. The number multiplying the variable $y$.

Flashcard 8: What is the implied coefficient of $-x$ in the term $-x$?

Answer: $-1$. The negative sign indicates coefficient $-1$.

Flashcard 9: What is the implied coefficient of $x$ in the term $x$?

Answer: $1$. When no coefficient is written, it equals $1$.

Flashcard 10: Identify the constant term in the expression $12-3x+2x^2$.

Answer: $12$. The term with no variables attached.

Flashcard 11: What does it mean for an expression to be a sum of terms?

Answer: It is written using addition/subtraction between terms. Each term is connected by addition or subtraction.

Flashcard 12: What is the leading coefficient of the polynomial $6x^4-2x+3$?

Answer: $6$. The coefficient of the highest degree term.

Flashcard 13: Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.

Answer: $-1$. The negative sign indicates coefficient $-1$.

Flashcard 14: Identify the number of terms in the expression $5x^2y-2y+9$.

Answer: $3$. Count parts separated by plus or minus signs.

Flashcard 15: Identify the coefficient of $x^2$ in the expression $-4x^2+9x-1$.

Answer: $-4$. The number multiplying $x^2$ in the term.

Flashcard 16: Identify the factors of the expression $x^2+5x$ as a product.

Answer: $x(x+5)$. Common factor $x$ factored out.

Flashcard 17: Identify the factors of the expression $x^2-9$ as a product.

Answer: $(x-3)(x+3)$. Factored form of the difference of squares.

Flashcard 18: Which part of $8(x-1)(x+2)$ is the coefficient of the product $(x-1)(x+2)$?

Answer: $8$. The number multiplying the entire parenthetical expression.

Flashcard 19: Identify the factors of the term $-14x^3$.

Answer: $-14$ and $x^3$. The coefficient $-14$ and variable part $x^3$.

Flashcard 20: What is the greatest common factor of the terms $6x^2$ and $9x$?

Answer: $3x$. Factor out the highest power common to both terms.

Flashcard 21: Identify the coefficient of $x^2y^3$ in the term $-x^2y^3$.

Answer: $-1$. The negative sign indicates coefficient $-1$.

Flashcard 22: Identify the coefficient of $x^2y^3$ in the term $x^2y^3$.

Answer: $1$. When no number is shown, coefficient is $1$.

Flashcard 23: Which expression shows $-6x^2y$ as a product of a coefficient and variable factors?

Answer: $-6 imes x^2 imes y$. Shows coefficient separated from variable factors.

Flashcard 24: Identify the factors of the term $4x^2y$ written as a product of three factors.

Answer: $4 imes x^2 imes y$. Breaking down into coefficient, $x^2$, and $y$.

Flashcard 25: Identify the constant term in the simplified form of $-(x-5)$.

Answer: $5$. From distributing: $-x + 5$, the constant is $5$.

Flashcard 26: Identify the coefficient of $x$ in the expression $-(x-5)$ after simplifying.

Answer: $-1$. Distribute the negative: $-x + 5$, so coefficient is $-1$.

Flashcard 27: What is the meaning of the coefficient in the term $kx$ when $k$ is a constant?

Answer: $k$ is the number multiplying $x$. It represents how many times $x$ is counted.

Flashcard 28: Identify the coefficient of $x^0$ in the polynomial $4x^2-3x+9$.

Answer: $9$. The constant term is the coefficient of $x^0$.

Flashcard 29: Identify the variable part of the term $-12x^3y$.

Answer: $x^3y$. All the variable parts with their exponents.

Flashcard 30: Identify the constant factor in the term rac{7}{3}x^4.

Answer: rac{7}{3}. The fractional coefficient of the variable part.