Solving Equations and Inequalities

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 and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find the value(s) of the variable(s) that make the inequality true.

Front

What is the purpose of using variables in equations?

Back

Variables are used in equations to represent unknown values that can change or vary.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

A linear equation represents a straight line and has an equal sign, while a linear inequality represents a region of the coordinate plane and uses inequality symbols (>, <, ≥, ≤).

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.

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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 connect the points with a straight line.

Front

What is a head start in a race?

Back

A head start is a predetermined distance that one participant is allowed to begin ahead of others in a race.