7-5.7 T12 2024- 5Write & Solve Two 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. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve a word problem involving equations?

Back

Solving a word problem involves translating the words into a mathematical equation and then solving for the unknown variable.

Front

What is the first step in solving the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

If Kasey's lesson cost $39 and Natalie charges $11 per hour plus a $6 tip, how do you write the equation?

Back

The equation is 11x + 6 = 39, where x represents the number of hours.

Front

What is the equation for buying a magazine and erasers if the total spent is $25?

Back

The equation is 5 + 4x = 25, where x is the cost of each eraser.

Front

How do you determine the cost of each eraser from the equation 5 + 4x = 25?

Back

Subtract 5 from both sides to get 4x = 20, then divide by 4 to find x = 5.

Front

What does the equation 7x + 35 = 63 represent?

Back

It represents the total cost of Kylie's car bill, where 7x is the hourly charge and 35 is the base charge for the service.

Front

What is the first step to solve the equation -3x + 11 = 44?

Back

Subtract 11 from both sides to start isolating the variable.

Front

How do you find the number of minutes a printer has been running if it prints 10 pages per minute and has printed a total of 115 pages?

Back

Set up the equation 10x + 35 = 115, where x is the number of minutes.