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 (usually x) that makes the equation true.

Front

What is the first step in solving the equation 4x + 1 = 7x - 5?

Back

The first step is to isolate the variable x by moving all terms involving x to one side of the equation.

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

What is the solution to the equation x - 5 = 7?

Back

x = 12

Front

How do you solve the equation 5x = -35?

Back

Divide both sides by 5 to isolate x, giving x = -7.

Front

What is the solution to the equation 15x + 40 = 5x - 10?

Back

x = -5

Front

How do you solve the equation -4x = 24?

Back

Divide both sides by -4 to isolate x, giving x = -6.

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, confirming its correctness.

Front

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

Back

Isolating the variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.