Equations and Their Solutions

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean for a value to be a solution to an equation?

Back

A value is a solution to an equation if, when substituted for the variable, it makes the equation true.

Front

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

Back

To check if a value is a solution, substitute the value into the equation and see if both sides are equal.

Front

What is the solution to the equation 4w = 86?

Back

w = 21.5

Front

Is w = 24 a solution to 4w = 86?

Back

No, because 4(24) = 96, which is not equal to 86.

Front

What is the solution to the equation k + 18 = 63?

Back

k = 45

Front

Is k = 44 a solution to k + 18 = 63?

Back

No, because 44 + 18 = 62, which is not equal to 63.

Front

What is the solution to the equation b + 21 = 28?

Back

b = 7

Front

Is b = 8 a solution to b + 21 = 28?

Back

No, because 8 + 21 = 29, which is not equal to 28.

Front

What is the solution to the equation 132 / m = 12?

Back

m = 11