Algebra 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.

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: What is a coefficient?

Answer: The numerical factor multiplying a variable term. The coefficient is the number that multiplies the variable.

Flashcard 2: Identify the factors of the term $-5xy$.

Answer: Factors: $-5$, $x$, and $y$. All quantities multiplying together are factors.

Flashcard 3: Identify the constant term in the expression $2x^3+7x-1$.

Answer: $-1$. The constant term has no variable.

Flashcard 4: What is the coefficient of $y$ in the expression $6y+2$?

Answer: $6$. The coefficient is the number multiplying $y$.

Flashcard 5: What is the coefficient of $x^2$ in the term $-6x^2$?

Answer: $-6$. The coefficient includes the negative sign.

Flashcard 6: What is the coefficient of $x$ in the term $9x$?

Answer: $9$. The coefficient is the number multiplying the variable.

Flashcard 7: Identify the terms in the expression $-(x-4)+6$.

Answer: Terms: $-(x-4)$ and $6$. Identify each part separated by the $+$ sign.

Flashcard 8: What is the coefficient of $ab$ in the term $12ab$?

Answer: $12$. The coefficient is the number multiplying both variables.

Flashcard 9: Identify the factors of the term $3(x-4)$.

Answer: Factors: $3$ and $(x-4)$. Both the number and binomial are factors.

Flashcard 10: What is the coefficient of $x$ in the term $-0.2x$?

Answer: $-0.2$. The coefficient includes the negative sign.

Flashcard 11: Identify the constant term in the expression $-(x-4)+6$.

Answer: $6$. The constant term has no variable.

Flashcard 12: Identify the constant term in the expression $-(x-4)+6$.

Answer: $6$. The constant term has no variable.

Flashcard 13: What is the coefficient of $(x-4)$ in the term $-(x-4)$?

Answer: $-1$. The negative sign makes the coefficient $-1$.

Flashcard 14: What is the coefficient of $x^3$ in the expression $2x^3+7x-1$?

Answer: $2$. Look for the number multiplying $x^3$.

Flashcard 15: Identify the factors of the term $2(x+5)$.

Answer: Factors: $2$ and $(x+5)$. Both the number and binomial are factors.

Flashcard 16: What is the coefficient of $x$ in the expression $x-4$?

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

Flashcard 17: Identify the terms in the expression $x^2-9$.

Answer: Terms: $x^2$ and $-9$. Identify each part separated by the $-$ sign.

Flashcard 18: How many terms are in the expression $3x+5$?

Answer: $2$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 19: Identify the terms in the expression $7x-2y+9$.

Answer: Terms: $7x$, $-2y$, $9$. Identify each part separated by $+$ or $-$ signs.

Flashcard 20: Identify the factors of the expression $(x+2)(x-5)$.

Answer: Factors: $(x+2)$ and $(x-5)$. The two binomials multiply to form the expression.

Flashcard 21: What is the coefficient of $(x+5)$ in the term $2(x+5)$?

Answer: $2$. The coefficient is the number multiplying the binomial.

Flashcard 22: What is the coefficient of $x^2y$ in the term $9x^2y$?

Answer: $9$. The coefficient is the number multiplying the variables.

Flashcard 23: How many terms are in the expression $3x+5$?

Answer: $2$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 24: How many terms are in the expression $-4x^2+3x-8$?

Answer: $3$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 25: What is the coefficient of $x$ in the expression $x^2+5x+6$?

Answer: $5$. The coefficient is the number multiplying $x$.

Flashcard 26: What is the coefficient of $ab$ in the term $12ab$?

Answer: $12$. The coefficient is the number multiplying both variables.

Flashcard 27: Identify the terms in the expression $2(x+5)-3$.

Answer: Terms: $2(x+5)$ and $-3$. Identify each part separated by the $-$ sign.

Flashcard 28: Identify the factors of the term $9x^2y$.

Answer: Factors: $9$, $x^2$, and $y$. All quantities multiplying together are factors.

Flashcard 29: Identify the factors of the term rac{2}{3}x.

Answer: Factors: rac{2}{3} and $x$. Both the fraction and variable are factors.

Flashcard 30: Identify the factors of the term $x^2$.

Answer: Factors: $x$ and $x$. $x^2$ means $x$ multiplied by itself.

Flashcard 31: What is a factor in an algebraic expression?

Answer: A quantity multiplied by other quantities in a product. Factors are quantities that multiply together to form a product.

Flashcard 32: What is a term in an algebraic expression?

Answer: A part separated by $+$ or $-$ in an expression. Terms are separated by addition or subtraction signs.

Flashcard 33: Identify the terms in the expression $-(x-4)+6$.

Answer: Terms: $-(x-4)$ and $6$. Identify each part separated by the $+$ sign.

Flashcard 34: Which term is the middle term in the expression $x^2+5x+6$?

Answer: $5x$. The middle term is between the first and last terms.

Flashcard 35: What is a constant term?

Answer: A term with no variable, such as $7$ or $-3$. A constant term contains only numbers, no variables.

Flashcard 36: Identify the terms in the expression $-4x^2+3x-8$.

Answer: Terms: $-4x^2$, $3x$, $-8$. Identify each part separated by $+$ or $-$ signs.

Flashcard 37: What is the coefficient of $x$ in the term $-x$?

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

Flashcard 38: What is the coefficient of $y$ in the term rac{3}{4}y?

Answer: rac{3}{4}. The coefficient is the fraction multiplying the variable.

Flashcard 39: Identify the variable term in the expression $4x-11$.

Answer: $4x$. The variable term contains a variable.

Flashcard 40: Identify the constant term in the expression $6y+2$.

Answer: $2$. The constant term has no variable.

Flashcard 41: What is a coefficient?

Answer: The numerical factor multiplying a variable term. The coefficient is the number that multiplies the variable.

Flashcard 42: Which term is the constant in the expression $-4x^2+3x-8$?

Answer: $-8$. The constant term has no variable.

Flashcard 43: Identify the factors of the term $12x$.

Answer: Factors: $12$ and $x$. Factors are quantities that multiply to form the term.

Flashcard 44: How many terms are in the expression $2(x+5)-3$?

Answer: $2$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 45: Identify the terms in the expression $5-3x+2x^2$.

Answer: Terms: $5$, $-3x$, $2x^2$. Identify each part separated by $+$ or $-$ signs.

Flashcard 46: What is the coefficient of $x$ in the term $x$?

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

Flashcard 47: Identify the constant term in the expression $x-4$.

Answer: $-4$. The constant term has no variable.

Flashcard 48: How many terms are in the expression $7x-2y+9$?

Answer: $3$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 49: Identify the constant term in the expression $4x-11$.

Answer: $-11$. The constant term has no variable attached.

Flashcard 50: What is the coefficient of $x$ in the expression $-4x^2+3x-8$?

Answer: $3$. The coefficient of $x$ is $3$.

Flashcard 51: How many terms are in the expression $x^2-9$?

Answer: $2$ terms. Count parts separated by $+$ or $-$ signs.

Flashcard 52: Identify the terms in the expression $5-3x+2x^2$.

Answer: Terms: $5$, $-3x$, $2x^2$. Identify each part separated by $+$ or $-$ signs.

Flashcard 53: What is the numerical coefficient in the term $-8x^3$?

Answer: $-8$. The numerical coefficient includes the negative sign.

Flashcard 54: What is the coefficient of $x$ in the term $0.5x$?

Answer: $0.5$. The coefficient is the decimal number.

Flashcard 55: Which part of $-7(x+3)$ is a factor that is a binomial?

Answer: $(x+3)$. The binomial factor is the expression in parentheses.

Flashcard 56: Which part of $-7(x+3)$ is the coefficient?

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