Chapter 1 Review: Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

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 does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

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 check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation if possible, by combining like terms or distributing.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, represented by a number in an equation.

Front

How do you represent a word problem as an equation?

Back

Identify the variables, translate the words into mathematical operations, and set up an equation based on the relationships described.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

What is the relationship between the coefficients and the slope of a linear equation?

Back

The coefficient of the variable in the equation represents the slope of the line when the equation is in slope-intercept form.