Solving for Variables

Front

What is a variable in mathematics?

Back

A symbol, often a letter, that represents a number in an equation or expression.

Front

What does it mean to 'solve for a variable'?

Back

To find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 6 x c = 12?

Back

Divide both sides of the equation by 6.

Front

If x - 4 = 6, what is the value of x?

Back

x = 10.

Front

What operation would you use to isolate the variable in the equation p x 2 = 18?

Back

Divide both sides by 2.

Front

What is the solution to the equation 19 - R = 14?

Back

R = 5.

Front

How do you check if your solution for x + 18 = 21 is correct?

Back

Substitute the value of x back into the equation.

Front

What is the solution to the equation x + 18 = 21?

Back

x = 3.

Front

What does it mean if an equation has no solution?

Back

There is no value for the variable that makes the equation true.

Front

What is the purpose of using equations in mathematics?

Back

To represent relationships between quantities and solve problems.