Two Step Equations Lesson 3 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 addition or subtraction followed by multiplication or division.

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 eliminate any addition or subtraction, then eliminate multiplication or division.

Front

What is the first step to solve the equation 11x + 6 = 39?

Back

Subtract 6 from both sides to isolate the term with the variable: 11x = 33.

Front

What is the solution to the equation 11x + 6 = 39?

Back

x = 3.

Front

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

Back

Identify the unknown, define a variable, and translate the words into a mathematical equation using the relationships described in the problem.

Front

What does the equation 20 + 15x = 80 represent in a word problem?

Back

It represents the total cost of buying x shirts at $15 each plus one pair of pants at $20, equaling $80.

Front

How do you determine the number of items you can buy with a budget?

Back

Set up an equation that represents the total cost of the items and solve for the number of items.

Front

What is the equation for Drew's DVD purchase problem?

Back

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

Front

How do you find the price of each item in a total cost equation?

Back

Isolate the variable by first subtracting any additional costs, then divide by the number of items.

Front

What does the equation 331 = 6x + 7 represent?

Back

It represents the total number of students (331) being equal to the number of students in 6 buses (6x) plus 7 students who traveled in cars.