Solutions of Equations

Front

What is a solution of an equation?

Back

A solution of an equation is a value that makes the equation true when substituted for the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the equation for finding the value of x in 39 + x = 50?

Back

x = 50 - 39 = 11.

Front

What is the solution to the equation 18 + p = 25?

Back

p = 25 - 18 = 7.

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

Is d = 5.9 a solution to 16.1 + d = 22?

Back

Yes, because 16.1 + 5.9 = 22.

Front

Is n = 0 a solution to 7n = 7?

Back

No, because 7(0) = 0, which is not equal to 7.

Front

Is x = 8 a solution to x - 7 = 15?

Back

No, because 8 - 7 = 1, which is not equal to 15.

Front

What is the first step to solve the equation 5x + 3 = 18?

Back

Subtract 3 from both sides: 5x = 15.

Front

What is the next step after isolating the variable in 5x = 15?

Back

Divide both sides by 5: x = 3.