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

By Matt Richardson

Last updated over 1 year ago

17 Questions

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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.

A.REI.3

Solve It! Explain your reasoning.

A.REI.3

A.CED.1

Example of a two-step equation: 

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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.

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

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? 

A

B

C

D

A.CED.1

A.REI.3

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10.

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?

48 ads

56 ads

64 ads

12 ads

A.CED.1

A.REI.3

11.

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

12.

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

A.CED.1

A.REI.3

13.

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

A.CED.1

A.REI.3

14.

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

A.REI.3

A.CED.1

15.

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

16.

Problem 4 Got It?

A

B

C

D

A.CED.1

A.REI.3

17.

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