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 of an equation?

Back

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

Front

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

Back

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

Front

What is the solution to the equation 35 / s = 7 when s = 5?

Back

Yes, because 35 / 5 = 7.

Front

Is w = 3 a solution to the equation 17w - 50 = 0?

Back

No, because 17(3) - 50 = 51 - 50 = 1, which is not equal to 0.

Front

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

Back

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

Front

What is the solution to the equation 6x = 54 when x = 9?

Back

Yes, because 6(9) = 54.

Front

Is g = 1,000 a solution to the equation 25g = 25,000?

Back

Yes, because 25(1,000) = 25,000.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.