# Chapter 5: Linear equations

Welcome
Materials needed for today's class:
Notebook                  Piff
Paper                           Pen

1 / 22
Slide 1: Tekstslide
WiskundeWOStudiejaar 1

In deze les zitten 22 slides, met interactieve quizzen en tekstslides.

Lesduur is: 50 min

## Onderdelen in deze les

Welcome
Materials needed for today's class:
Notebook                  Piff
Paper                           Pen

#### Slide 1 -Tekstslide

Formula: y=3x+5
Equation: 7 = 3x + 5
What is the difference?

#### Slide 2 -Woordweb

Formula: y=3x+5
What is the Slope?

Solve:
3 + 5x = 43

Solve:
Nisje = 14

#### Slide 5 -Open vraag

Vocab: Terms
Terms are the parts of a formula that are added together or that are subtracted from each other.
In the formula 24 - 3t = h, the terms are 24 and -3t.
In the formula y = 2a + 8, the terms are 2a and 8.
In the formula p = 4 - 2t + 3 + 5t, the terms are 4, -2t, 3 and 5t

#### Slide 6 -Tekstslide

How many terms are there in this formula?
p = 8a + 4 - 2a
A
1
B
2
C
3
D
4

#### Slide 7 -Quizvraag

Solve:
5(x -1) -3x = 3(x -5)

Solve:

Solve

#### Slide 10 -Open vraag

Solve:
(x +2)(x -5) = (x +1)sq -10

#### Slide 11 -Open vraag

Vocab: Variables
In a linear formula there is a relation between two variables. They are the words (or letters if the formula is shortened) that can have a different value.
In the formula 20 + 5 x time in hours = amount in euro's, the variables are time and amount. (Remember from CH3: the units are hours and euro's)
In the formula p = 10a + 8 - 2a, the variables are p and a.

#### Slide 12 -Tekstslide

What are the variables in this formula?
t = 3a + 7 + 4a - 2
A
t, 3a and 4a
B
t and a
C
t, a and a
D
3a, 7, 4a and -2

#### Slide 13 -Quizvraag

Vocab: Like terms
If there are several terms in a formula, we can call some of them like terms if they are the same type of term. This happens if they have the same variable.

In the formula a = 8c + 3 - 2c + 5,
8c
and -2c are a pair of like terms and 3 and 5 are a pair of like terms.

In the formula p = 3a - 12 + 2b + 4a + 3b + 8,
3a and 4a are a pair of like terms, 2b and 3b are a pair of like terms, and -12 and 8 are a pair of like terms.

#### Slide 14 -Tekstslide

Simplifying formulas
When you add up the same number several times, you can write this as a multiplication.
In the same way, if you add up the same variable several times, you can write this as a mulitplication, which you can shorten.

#### Slide 15 -Tekstslide

Simplifying formulas
When you have like terms, you can add/subtract them.

#### Slide 16 -Tekstslide

Simplyfing formulas
When a formula contains several different like terms, you can shorten the formula by combining each type of like term.

#### Slide 17 -Tekstslide

Shorten the formula
a = 3t + 8 + 5t - 10

#### Slide 18 -Open vraag

Notation
When formulas are shortened and you end up with a term such as 1t or -1c, you write this as t or -c.

#### Slide 19 -Tekstslide

Homework next lesson