Algebra 1 2-2 Guided Practice: Solving Two-Step Equations

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! The diagram shows the amount of money that each player starts with in a video game. To be fair, each player should have the same amount of money. If each chest contains the same amount of money, how much money must be in each chest? Enter only a number.

Solve It! Explain your reasoning.

Example of a two-step equation: 

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Take Note: Provide an example of a two-step equation that includes mutliplication and addition.

Take Note: Recall that when we "do" math operations, we follow the order of operations, PEMDAS. Since solving equations is essentially "un-doing" operations, we reverse the order of operations. Order the following operations in the reverse order of PEMDAS.

exponents
subtraction/addition
parentheses & other grouping symbols
division/multiplication

Take Note: Summarize the process of solving a two-step equation.

Take Note: Just as PEMDAS is a helpful mnemonic device for remembering the order of operations, SADMEP can help you remember the order in which to "un-do" operations when solving equations.

Problem 1 Got It?

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Problem 2 Got It? Recall Problem 2:

Now, suppose you used one quarter of a sheet of paper for each ad and four full sheets for the title banner in Problem 2.

How many ads could you make?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the solution? Check your answer.
Enter only a number.

Problem 3 Got It? Write the right side of the equation as the difference of two fractions.

Problem 3 Got It? Reasoning: Which of these equations is easier to solve? Why?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! The diagram shows the amount of money that each player starts with in a video game. To be fair, each player should have the same amount of money. If each chest contains the same amount of money, how much money must be in each chest? Enter only a number.

Solve It! Explain your reasoning.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Provide an example of a two-step equation that includes mutliplication and addition.

Take Note: Recall that when we "do" math operations, we follow the order of operations, PEMDAS. Since solving equations is essentially "un-doing" operations, we reverse the order of operations. Order the following operations in the reverse order of PEMDAS.

Take Note: Summarize the process of solving a two-step equation.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Recall Problem 2: Now, suppose you used one quarter of a sheet of paper for each ad and four full sheets for the title banner in Problem 2. How many ads could you make?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the solution? Check your answer.Enter only a number.

Problem 3 Got It? Write the right side of the equation as the difference of two fractions.

Problem 3 Got It? Reasoning: Which of these equations is easier to solve? Why?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Problem 2 Got It? Recall Problem 2:

Now, suppose you used one quarter of a sheet of paper for each ad and four full sheets for the title banner in Problem 2.

How many ads could you make?

Problem 3 Got It? What is the solution? Check your answer.
Enter only a number.

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?