Unit 4A Linear Equations

Front

What is a linear equation?

Back

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

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

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

Back

The slope-intercept form of a linear equation is 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 is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

The first step is to distribute -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

The solution is b = 1.

Front

How do you check if your solution to a linear 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 solution to the equation 4x + 3 = -5?

Back

The solution is x = -2.

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Front

What is the process to solve the equation 33 = 4a - 7?

Back

Add 7 to both sides to get 40 = 4a, then divide both sides by 4 to find a = 10.