Solving 2 Step Equations (Word Problems)

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 reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

What is the first step to solve the equation: 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8.

Front

What is the second step to solve the equation: 2x = 8?

Back

Divide both sides by 2 to find x = 4.

Front

In the word problem, 'A taxi charges $3 plus $1.50 for each mile traveled,' what does the $3 represent?

Back

The $3 represents the base fare or initial charge for using the taxi.

Front

In the equation 10m + 35 = 115, what does 'm' represent?

Back

The variable 'm' represents the number of minutes the printer has been printing.

Front

How do you set up an equation from a word problem?

Back

Identify the quantities involved, define variables for unknowns, and translate the relationships into an equation.

Front

What is the solution to the equation -3x + 8 = -1?

Back

x = 3.

Front

If a printer can print 10 pages per minute, how many pages can it print in 'm' minutes?

Back

The printer can print 10m pages in 'm' minutes.

Front

What does the term 'total cost' refer to in a word problem?

Back

Total cost refers to the sum of all charges, including base fees and variable costs.