2AT Solving equations and inequalities, substitution and rearranging

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 2

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

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)

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)

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 .............

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

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 = ..... + ......

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

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 = ..... = 

​3​​8​​

2​3​​2​​

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

What will you do? 

What will you do?