Math 7

Unit 6 Equations

Lesson 6.4  Solving Equations Using Algebra

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

Solve a problem by solving an equation algebraically.

There isn’t a Focus activity in this lesson.

Explore

Explore an idea or problem.
The exploration provides the background for the ideas presented in the lesson.

TEXT Page 237

Read/Work through the  Explore  section on Page 237 in your textbook.

You can do this activity on your own.
Do your best to answer the questions, then watch the Video Tutorial for help or to check your answers.

Watch

Video Tutorial

Connect

Connect summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 237

Read/Work through the  Connect  section on Page 237 in your textbook.

Example

The Example will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example

TEXT Pages 237 - 238

Work through the Example on Pages 237 - 238  in your textbook.

Watch

Video Tutorial

Fundamental Principle of Equations  (Unit Summary)

When you solve an equation, remember the balance-scales model.

To preserve equality, always perform the same operation on both sides of the equation.

Using the scale analogy:

• 	We can add the same mass to each side.
(using algebra,  add the same thing to both sides of an equation to maintain equality)

• 	We can subtract the same mass from each side.
(using algebra,  subtract the same thing from both sides of an equation to maintain equality)

•	We can divide each side into the same number of equal groups.
(using algebra,  divide both sides of an equation by the same number to maintain equality)

Later, we will show that:
• 	We can multiply each side by the same number by placing equal groups on each side that match the group already there.
(using algebra,  multiply both sides of an equation by the same number to maintain equality)

Practice Problems

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Assessment Focus a question that gives a good example of the kind of question you would be expected to answer after completing the lesson

Take It Further questions offer enrichment and extension.

Notes

Question 8,    You are asked to make up your own problem.
If you do, great!
If you want to check your work, here is a problem you can try.

Tom decided to go bowling on the weekend.
He spent $13.
How many games did he play?

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", }})