Untitled Flashcards Set

Algebraic Expressions

Mathematical phrases that combine numbers, variables, and operational symbols.

Distributive Property

A property that states a(b + c) = ab + ac.

Evaluating Expressions

Substituting values for variables in expressions to find their numerical value.

Linear Equations

An equation that makes a straight line when graphed.

Inequalities

Mathematical statements that compare expressions to show that one is greater than or less than another.

Systems of Linear Equations

Two or more linear equations involving the same variables.

Substitution Method

A method for solving systems of equations by replacing one variable with an expression.

Elimination Method

A method for solving systems of equations by eliminating one variable.

Graphing

The process of plotting points or lines on a coordinate plane.

Exponents

A mathematical notation indicating the number of times a number is multiplied by itself.

Radicals

An expression that involves a root, such as a square root.

Function Notation

A way to write a function that uses symbols like f(x) to represent the output of a function.

Domain

The set of all possible input values (x-values) for a function.

Range

The set of all possible output values (y-values) for a function.

Slope

The steepness of a line, calculated as rise over run.

Y-Intercept

The point where a line crosses the y-axis.

Transformations of Functions

Changes to the graph of a function, such as shifts, stretches, and reflections.

Arithmetic Sequence

A sequence of numbers in which the difference between consecutive terms is constant.

Geometric Sequence

A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number.

Polynomials

An algebraic expression that contains one or more terms.

Factoring Polynomials

Breaking down a polynomial into simpler components that can be multiplied together.

Quadratic Equation

An equation of the form ax^2 + bx + c = 0.

Vertex of a Quadratic Function

The highest or lowest point of the graph of a quadratic function.

Axis of Symmetry

A line through a shape that divides it into two equal parts that are mirror images.

Quadratic Formula

A formula that provides the solution to a quadratic equation: x = (-b ± √(b²-4ac))/(2a).

Data Analysis

The process of inspecting, cleansing, transforming, and modeling data to discover useful information.

Scatter Plots

A graph that shows the relationship between two sets of data using dots.

Line of Best Fit

A straight line that best represents the data on a scatter plot.

Correlation

A measure of the relationship between two variables.

Causation

The action of causing something; the relationship between cause and effect.

Measures of Central Tendency

Statistical measures that describe the center of a data set, including mean, median, and mode.

Mean

The average of a set of numbers, calculated as the sum of the values divided by the number of values.

Median

The middle value in a list of numbers when they are arranged in order.

Mode

The value that appears most frequently in a data set.

Box Plot

A standardized way of displaying the distribution of data based on a five-number summary.

Histogram

A bar graph that represents the frequency distribution of numerical data.

Exam Tip: Review Formulas

Make sure to memorize key formulas relevant to algebra problems.

Exam Tip: Practice Problems

Regular practice can help recognize and solve a variety of problems.

Exam Tip: Show Your Work

Writing down steps can help prevent errors and may result in partial credit.

Exam Tip: Check Answers

If time allows, always revisit and check your work for errors.

Multi-Step Equations

Equations that require more than one step to solve.