Writing two step equations from 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. It typically involves isolating the variable by performing two inverse operations.

Front

How do you write a two-step equation from a word problem?

Back

Identify the quantities involved, assign variables, translate the relationships into mathematical expressions, and set up the equation.

Front

In the problem, 'A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?', what is the first step to form the equation?

Back

The first step is to express the total pages printed as the sum of the pages already in the tray and the pages printed in 'x' minutes: 35 + 10x = 115.

Front

What is the equation for the problem: 'Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61.'?

Back

The equation is 5x + 6 = 61, where x is the price of each CD.

Front

How do you isolate the variable in the equation 5x + 6 = 61?

Back

Subtract 6 from both sides to get 5x = 55, then divide both sides by 5 to find x = 11.

Front

In the problem about the school trip, what does '12s + 85 = 613' represent?

Back

This equation represents the total cost of the trip, where 's' is the number of students, $12 is the fee per student, and $85 is the bus fee.

Front

What is the solution to the equation 12s + 85 = 613?

Back

First, subtract 85 from both sides to get 12s = 528, then divide by 12 to find s = 44.

Front

What does the equation y = 15x + 40 represent in the plumbing problem?

Back

This equation models the total cost (y) of plumbing services, where x is the number of hours worked, $15 is the hourly rate, and $40 is the service fee.

Front

How do you find the total cost in the equation y = 15x + 40 if x = 3?

Back

Substitute x with 3: y = 15(3) + 40 = 45 + 40 = 85. The total cost is $85.

Front

In the scenario with Natalie, what does the equation 11x + 6 = 39 represent?

Back

This equation represents the total cost of the pitching lesson, where x is the number of hours, $11 is the hourly rate, and $6 is the tip.