Writing Equations & Inequalities and Funtions Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division).

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships and operations described in the problem into a mathematical equation.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs as a straight line and has no exponents greater than one, while a nonlinear equation can graph as a curve or other shapes.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a line through the points.

Front

What is a solution to an inequality?

Back

A solution to an inequality is a value or set of values that makes the inequality true.