mat102 20140826 - solving 2-step linear inequations

Do Now

Hand in your worksheets which you completed over the weekend.

Complete as much of the timetables worksheet as you can and then glue it into your books.

You have 3 minutes

Saturday, 8 April 2023

By the end of this lesson, I will be able to solve 1-step linear inequations

Complete the puzzle in your groups.


Point check:

Take 4 pieces of paper, write your name at the top and the date.

Answer 1 question on each piece of paper.

This is a small test to see how much you know, so no talking or copying.


To do this, we must be able to solve 2-step equations:

To warm up, try these:


Check:

I have the correct answer,

Read the equation starting with the unknown, and undo the last thing that was done before the .


How could you check that your answer is correct?

Discuss in your groups and be able to explain your answer on the board.

Read the equation.

What do you notice?

Let’s collect like terms first


What happens when we end up with a negative

Take a look at this:

If we multiplied both sides by -1, what happens?

But is still true?

What could we do to make this true?

NO!!!

¿ Flip the sign

By the end of this lesson, I will be able to solve 2-step linear equations involving addition

Sometimes, you will have to do 2 steps instead of 1.

Check:


Try for yourself

Read the equation starting with the unknown, and undo the last thing that was done.


Sometimes, the constant will come before an unknown.

Check:


Try for yourself

Read the equation, starting with the unknown, and undo the last thing that was done.


Sometimes, you will have to do 2 steps instead of 1.

Check:


Read the equation starting with the unknown, and undo the last thing that was done.


To do this, we must be able to solve 2-step equations:

To warm up, try these:

By the end of this lesson, I will be able to solve linear inequations

To be able to solve linear inequations, we must be able to understand what these symbols mean and use them:

¿≥

≤

“greater than”

“less than”

“greater than or equal to”

“less than or equal to”

6 ____ 5

5 _____ 6

6 _____ 5

5 _____ 6


Exercise 1:

Are these true or false?


Exercise 2:


To solve linear equations, we must be able to isolate the as we have been doing and then make sure that our answer is correct.

Is when ?What’s a number greater than 1? Is this true?

Q: When this was an equals () symbol, what were you doing?

A: Taking away 2 from both sides

Q: Now what would you do? A: Simplify

Q: Now what would you do? A: Check

A: 2

Yes, it’s true, therefore our answer, is correct


Try another:

Is when ?What’s a number greater than 7? Is this true?

Q: When this was an equals () symbol, what were you doing?

A: Adding 4 to both sides

Q: Now what would you do? A: Simplify

Q: Now what would you do? A: Check

A: 8

Yes, it’s true, therefore our answer, is correct

By the end of this lesson, I will be able to solve linear inequations.

Summary:

What did you learn today?

What are two mistakes your neighbour made today?

Homework: page 26-28

Should have done: up to and including page 21

mat102 20140826 - solving 2-step linear inequations

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