4.8 Processing

Front

What is the process to solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to simplify the equation.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation if necessary, combining like terms.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form ax + b = c, where a, b, and c are constants.

Front

How do you check your solution after solving for x?

Back

Substitute the value of x back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2x + 4 = 12?

Back

x = 4.

Front

What is the solution to the equation 3x - 5 = 16?

Back

x = 7.

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, often resulting in a contradiction.

Front

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

Back

x = 6.

Front

What is the solution to the equation 5x + 2 = 17?

Back

x = 3.