Solving Linear Equations

Front

What is a linear equation?

Back

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the first step to solve the equation 3x - 5 = 10?

Back

Add 5 to both sides of the equation.

Front

What is the solution to the equation 5(x-3)=40?

Back

The solution is x = 11.

Front

What is the next step to solve the equation 3x = 15?

Back

Divide both sides by 3.

Front

How do you solve the equation x - 62 = 123?

Back

Add 62 to both sides of the equation.

Front

Back

The solution is x = 25.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the solution back into the original equation to verify that both sides are equal.

Front

What is the slope in the equation of a line?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

What is the y-intercept in a linear equation?

Back