Solution to Equations

Front

What is a solution to an equation?

Back

A solution to an equation is a value of the variable that makes the equation true.

Front

How do you check if a value is a solution to an equation?

Back

Substitute the value into the equation and see if both sides are equal.

Front

What is the first step to solve the equation x - 62 = 123?

Back

Add 62 to both sides.

Front

What is the result of adding 62 to both sides of the equation x - 62 = 123?

Back

x = 185.

Front

Which equation has x = 5 as a solution?

Back

2x = 10.

Front

How do you determine if x = 8 is a solution to the equation x - 7 = 15?

Back

Substitute 8 into the equation: 8 - 7 = 1, which is not equal to 15.

Front

What is the purpose of performing the same operation on both sides of an equation?

Back

To maintain the equality of the equation.

Front

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

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the solution to the equation 3x = 12?

Back

x = 4.

Front

If you have the equation 2x = 10, what is the first step to solve for x?

Back

Divide both sides by 2.