Enhance Your Learning with Algebraic Expressions Flash Cards for quick learning
A symbol, usually a letter, that represents an unknown quantity or a value that can change.
A value that does not change and has a fixed numerical value.
The numerical factor of a term that contains a variable.
A single number, variable, or the product of numbers and variables.
Terms that have the same variables raised to the same powers.
The process of simplifying an expression by adding or subtracting like terms.
The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
The process of reducing an expression to its simplest form by combining like terms and using the distributive property.
The process of finding the value of an expression by substituting a given value for each variable and simplifying.
The process of finding the value(s) of the variable(s) that make an equation true.
An equation that can be written in the form ax + b = 0, where a and b are constants and a is not equal to 0.
An equation that can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to 0.
The process of writing an expression as a product of its factors.
The largest factor that two or more numbers or expressions have in common.
The process of multiplying out the terms in an expression to simplify it.
Mathematical problems that are presented as written descriptions or scenarios and require the use of algebraic expressions and equations to solve.
The process of representing linear equations on a coordinate plane using points and lines.
The x-coordinate of the point where a graph intersects the x-axis.
The y-coordinate of the point where a graph intersects the y-axis.
The ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.
The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.
The equation of a line in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
The equation of a line in the form Ax + By = C, where A, B, and C are constants and A and B are not both zero.
Lines in the same plane that never intersect and have the same slope.
Lines that intersect at a right angle and have slopes that are negative reciprocals of each other.
A set of two or more equations with the same variables.
A value or set of values that make an equation or system of equations true.
A mathematical sentence that compares two expressions using the symbols <, >, ≤, or ≥.
Two or more inequalities joined together by the word 'and' or 'or'.
The distance between a number and zero on a number line. It is always positive or zero.
An inequality that contains an absolute value expression.
A number that represents the number of times a base is multiplied by itself.
The number that is multiplied repeatedly in an exponential expression.
The result of raising a base to an exponent.
When multiplying two powers with the same base, add the exponents.
When dividing two powers with the same base, subtract the exponents.
When raising a power to another power, multiply the exponents.
Any nonzero number raised to the power of zero is equal to 1.
A negative exponent indicates the reciprocal of the base raised to the positive exponent.
A way of expressing numbers that are very large or very small using powers of 10.
The symbol √ used to indicate a square root or other root of a number.
The number or expression inside a radical symbol.
The number that indicates the root to be taken.
An exponent that is a fraction or a decimal.
The process of eliminating radicals from the denominator of a fraction.
A number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit.
Any number that can be found on the number line, including rational and irrational numbers.
A number that cannot be expressed as a fraction or a decimal that terminates or repeats.
The set of all possible input values (x-values) of a function.
The set of all possible output values (y-values) of a function.
A relation in which each input value (x-value) is paired with exactly one output value (y-value).
A test used to determine if a graph represents a function. If any vertical line intersects the graph in more than one point, the graph does not represent a function.
A test used to determine if a function is one-to-one. If any horizontal line intersects the graph in more than one point, the function is not one-to-one.
A function that undoes the action of another function. The inverse function of f is denoted as f^(-1).
A function that is formed by combining two functions, where the output of one function becomes the input of the other function.
A function that is defined by different rules or formulas for different parts of its domain.
A sequence in which the difference between any two consecutive terms is constant.
A sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.
The sum of the terms in an arithmetic sequence.
The sum of the terms in a geometric sequence.
An algebraic expression with two unlike terms.
An algebraic expression with three unlike terms.
An algebraic expression with one or more terms.
The highest exponent of the variable in a polynomial.
A polynomial with only one term.
A formula for expanding a binomial raised to a positive integer power.