Solving Linear Equations and Inequalities

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 of the equation 4 + x = 12?

Back

x = 8

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the solution of the equation 5x = 45?

Back

x = 9

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

What is the solution of the equation 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3

Front

What is the first step to solve the equation 4(2x - 3) = 6x + 2?

Back

Distribute 4 on the left side.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation.

Front

What is the solution of the equation 4(2x - 3) = 6x + 2?

Back

x = 7