Enhance Your Learning with Algebraic Expressions and Equations Flash Cards for quick learning
A symbol that represents an unknown quantity or a value that can change.
A number multiplied by a variable in an algebraic expression.
Terms in an algebraic expression that have the same variables raised to the same powers.
Combining like terms and performing operations to make an expression simpler.
Replacing variables with given values and calculating the result of an expression.
Finding the value(s) of the variable that make an equation true.
An equation that represents a straight line when graphed.
An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
A set of equations with the same variables that are solved simultaneously.
A mathematical sentence that compares two expressions using <, >, ≤, ≥, or ≠.
A mathematical problem presented in the form of a real-life situation.
An algebraic expression with one or more terms, each consisting of a variable raised to a non-negative integer exponent.
Rewriting an expression as a product of its factors.
An algebraic expression that represents a ratio of two polynomials.
A number that represents the repeated multiplication of a base.
The symbol √ used to represent the square root or other roots of a number.
The distance of a number from zero on a number line, always positive.
The set of all possible input values of a function or relation.
The set of all possible output values of a function or relation.
A relation in which each input value is associated with exactly one output value.
A function that undoes the effect of another function.
A test used to determine if a relation is a function by checking if any vertical line intersects the graph more than once.
A test used to determine if a function is one-to-one by checking if any horizontal line intersects the graph more than once.
A sequence of numbers in which the difference between consecutive terms is constant.
A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
The average of a set of numbers, calculated by dividing the sum of the numbers by the count of numbers.
The positive square root of the product of two numbers.
A way to represent a function using symbols and parentheses.
A function that is formed by combining two functions, where the output of one function becomes the input of the other.
A function that is defined by different expressions or rules for different intervals or subdomains of its domain.
A formula used to find the solutions of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a)
The expression b^2 - 4ac in the quadratic formula, used to determine the nature of the solutions of a quadratic equation.
A method used to solve quadratic equations by adding a constant term to make a perfect square trinomial.
The highest or lowest point on the graph of a quadratic function, also known as the maximum or minimum point.
A vertical line that divides the graph of a quadratic function into two symmetric parts.
The form of a quadratic equation written as ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
A set of two or more linear equations with the same variables.
A value or set of values that make an equation or system of equations true.
A system of equations that has at least one solution.
A system of equations that has no solution.
A system of equations that has infinitely many solutions.
A system of equations that has exactly one solution.
Two or more inequalities joined together by the words 'and' or 'or'.
A way to represent an interval using brackets and parentheses.
An inequality that involves the absolute value of a variable.
A solution that does not satisfy the original equation or inequality.
A relationship between two variables in which their ratio is constant.
A relationship between two variables in which their product is constant.
A relationship between three or more variables in which their product is constant.
A word problem that involves arithmetic operations such as addition, subtraction, multiplication, or division.
A word problem that involves geometric concepts such as area, perimeter, volume, or ratios.
A word problem that involves polynomial expressions or equations.
A word problem that involves rational expressions or equations.
A word problem that involves exponential growth or decay.
A word problem that involves radical expressions or equations.
A word problem that involves quadratic equations or functions.
A word problem that involves functions and their properties.