Solving 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 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 3 - 5x = -9 + x?

Back

x = 2

Front

What is the solution to the equation 7(5x - 4) - 1 = 14 - 8x?

Back

x = 1

Front

What does it mean if an equation has one unique solution?

Back

It means there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has no solution?

Back

It means there is no value of the variable that can satisfy the equation.

Front

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

Back

It means there are countless values of the variable that can satisfy the equation.

Front

What is the solution to the equation 3x - 6 = 4 + 2x?

Back

One Unique Solution

Front

What is the solution to the equation 3x - 8 = 3(x - 4) + 1?

Back

No Solution

Front

What is the solution to the equation 8x + 4 = 4(2x + 1)?

Back

Infinitely Many Solutions