# 2AT Solving equations and inequalities, substitution and rearranging

Write down the steps + answer for this equation in your notebook and add a picture of it onto this board:
2x + 7 = -6x + 71
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Slide 1: Open question
WiskundeMiddelbare schoolvwoLeerjaar 2

This lesson contains 11 slides, with interactive quizzes and text slides.

Lesson duration is: 30 min

## Items in this lesson

Write down the steps + answer for this equation in your notebook and add a picture of it onto this board:
2x + 7 = -6x + 71

#### Slide 1 -Open question

Today
• Fill the yellow or pink 'cupboard'
• Check what you still need to practice for chapter 9
• Work on skills 5, p .  154-157 (skip 14, 15 and 16)

#### Slide 2 -Slide

Purpose of the lesson
• To check if you can use the skills below
• Solve equations by using the balance method
• Sketch two graphs in one coordinate system
•  Calculate the point of intersection
• Solve inequality (by using the top two skills)

#### Slide 3 -Slide

The difference between an equation and an inequality is that you calculate an.......... for an equation and for an inequality it is usually more ............, so there is no point of .............

#### Slide 4 -Open question

Sketch of a graph
Linear formula
Rearranging
y = ax + b
a = gradient and direction of graph
b = y-intercept and belongs to (0,b)
2y + 4x = 6
2y = -4x + 6
y = -2x + 3

#### Slide 5 -Drag question

Substitution
Replace a   .....b..    in a.   f......     with another formula.

A: y = 6x + 64 and B: x = 8 -5b
y = 6(.......) + 64
y = 48 - 30b + 64
y = ..... + ......

#### Slide 6 -Slide

Point of intersection
Where the graphs have the .... result.
You can c........ the point of intersection by filling in the formula and calculate the .-value

#### Slide 7 -Slide

Solve equation
using cards
• 3x + 4 = 12
• 8 + 4 = 12
• 3x = 8
• x =      =
Solve equation using the balance method
• 6x - 4 = 3x + 4
• 6x = 3x .......
• 3x = .....
• x = ..... =
38
232

#### Slide 8 -Slide

Did you fill the 'cupboard' completely?
Yes, I did
Well, I still have to fill one shelf
No, I haven't started yet
..............

#### Slide 9 -Mind map

What will you do?

#### Slide 10 -Slide

What will you do?