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 ax + b = c, where a, b, and c are constants.

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 solution to the equation 3k + 5 = 23?

Back

k = 6

Front

Which equation has x = 5 as the solution?

Back

2x = 10

Front

What is the solution to the equation -5x = 25?

Back

x = -5

Front

What is the solution to the equation 3x - 5 = -26?

Back

x = -21

Front

What is the solution to the equation -8x - 8 + 3(x - 2) = -3x + 2?

Back

x = -8

Front

What is the first step in solving the equation 3k + 5 = 23?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

What is the importance of checking your solution in a linear equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that makes the equation true.