Solve Linear Equations with Fractions

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 an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 5b - 6 = 24?

Back

Add 6 to both sides of the equation.

Front

What do you do after adding 6 to both sides in the equation 5b - 6 = 24?

Back

Divide both sides by 5.

Front

What is the solution to the equation 5b - 6 = 24?

Back

b = 6.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2x + 4 = 20?

Back

x = 8.

Front

What is the importance of fractions in linear equations?

Back

Fractions can represent parts of a whole and are often used in equations to express relationships.

Front

How do you solve an equation with fractions, like 1/2x = 3?

Back

Multiply both sides by the reciprocal of the fraction, which is 2 in this case.

Front

What is the solution to the equation 1/2x = 3?

Back

x = 6.