Algebra Vocabulary Flashcards
Free algebra vocabulary flashcards covering variables, terms, coefficients, expressions, equations, inequalities, polynomials and functions. Flip each card, say the answer first, then mark what you know and drill what you miss.
Keys: Space or Enter flips, arrow keys move, K marks known, R marks review. No sign-up and nothing is stored.
How to study with these algebra vocabulary flashcards
- Read the front of the card and say or write your answer before you flip it.
- Flip the card, then mark I know this only if you were right without hesitating.
- Mark Review again for anything you missed, then use Review missed only to drill those cards.
- Pick one topic at a time, then shuffle all topics for a mixed review.
Study tips for algebra vocabulary
Do short rounds of 10 to 15 cards. Say the answer out loud before you flip, then use Review missed only until the pile is empty. Come back the next day: spacing your practice beats one long session.
All 36 cards at a glance
Every card is also listed below so you can scan, print or review without the viewer.
Expressions and equations
| Question | Answer |
|---|---|
| What is a variable | A letter that stands for an unknown or changing number, such as x. |
| What is a constant | A term with a fixed value and no variable, such as 7. |
| What is a coefficient | The number multiplied by a variable. In 5x the coefficient is 5. |
| What is a term | A number, a variable, or a product of numbers and variables. In 3x + 4 the terms are 3x and 4. |
| What are like terms | Terms with the same variable part, such as 3x and 8x. |
| What is an algebraic expression | A combination of numbers, variables and operations with no equals sign, such as 2x + 5. |
| What is an equation | A statement that two expressions are equal, such as 2x + 5 = 11. |
| What is a solution of an equation | A value of the variable that makes the equation true. |
| What does it mean to evaluate an expression | Substitute a number for the variable and compute. If x = 3, then 2x + 5 = 11. |
| What is the distributive property | a(b + c) = ab + ac. |
| What is an identity | An equation true for every value of the variable, such as x + 0 = x. |
| What is the inverse operation of addition | Subtraction. Inverse operations undo each other. |
Inequalities and polynomials
| Question | Answer |
|---|---|
| What is an inequality | A statement comparing expressions with <, >, ≤ or ≥, such as x + 2 > 5. |
| What does ≤ mean | Less than or equal to. |
| What is a solution set | All the values that make an inequality true. |
| What changes when you multiply an inequality by a negative number | The inequality sign flips. −2x > 6 gives x < −3. |
| What is a monomial | A single term, such as 7x². |
| What is a binomial | A polynomial with two terms, such as x + 4. |
| What is a trinomial | A polynomial with three terms, such as x² + 5x + 6. |
| What is a polynomial | A sum of terms, each a number times a variable raised to a whole-number power. |
| What is the degree of a polynomial | The highest exponent of the variable. 4x³ + x has degree 3. |
| What is the leading coefficient | The coefficient of the term with the highest degree. |
| What is factoring | Writing an expression as a product of simpler expressions. x² + 5x + 6 = (x + 2)(x + 3). |
| What is a quadratic expression | A polynomial of degree 2, such as x² − 4x + 3. |
Functions and graphs
| Question | Answer |
|---|---|
| What is a function | A rule that assigns exactly one output to each input. |
| What is the domain | The set of all possible inputs (x-values). |
| What is the range | The set of all possible outputs (y-values). |
| What is an independent variable | The input variable, usually x. |
| What is a dependent variable | The output variable, usually y, whose value depends on x. |
| What does f(3) mean | The output of function f when the input is 3. |
| What is slope | The steepness of a line: rise over run, or change in y over change in x. |
| What is the y-intercept | The point where a graph crosses the y-axis, where x = 0. |
| What is the x-intercept | The point where a graph crosses the x-axis, where y = 0. |
| What is a root (zero) of a function | An x-value where f(x) = 0. |
| What is a system of equations | Two or more equations with the same variables, solved together. |
| What is the vertical line test | A graph is a function if no vertical line crosses it more than once. |
Frequently asked questions
What is the difference between an expression and an equation?
An expression has no equals sign and can be simplified or evaluated. An equation sets two expressions equal and can be solved.
What is a coefficient?
The number that multiplies a variable. In 7y the coefficient is 7.
Which grades cover algebra vocabulary?
Variables and expressions begin in Grades 6 and 7 and are extended in Algebra 1.
Sources
More free math flashcards
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