EE4a: Writing and Solving Two Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15.

Front

What is the second step to solve the equation 3x = 15?

Back

Divide both sides by 3 to find x = 5.

Front

What does it mean to 'solve for r' in an equation?

Back

To solve for r means to find the value of r that makes the equation true.

Front

What is the equation for the total cost of items purchased?

Back

The total cost can be represented as the sum of the costs of individual items.

Front

If Samuel bought 3 tires for $79.95 each, what is the total cost of the tires?

Back

The total cost of the tires is 3 * 79.95 = $239.85.

Front

In the equation -6w + 1 = -11, what is the first step to solve for w?

Back

Subtract 1 from both sides to get -6w = -12.

Front

What is the solution for w in the equation -6w = -12?

Back

Divide both sides by -6 to find w = 2.

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol used to represent an unknown value in an equation.