HV1 introduction formulas

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

HV1 formulas

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example

money raised = 4 + 5 • hours of work

formula

money raised = 4 + 5 • number of hours

important :

use the order of operations

fixed number

variable/ certain number

what is the fixed number in this example
temperature = 21 + 3 • number of hours

1. 21
2. 3
3. there is no fixed number
4. temperature

what is the variable number in this example
temperature = 19 + 5 • number of hours

1. 19
2. 5
3. there isn't a variable number

what is the variable number in this formula
money = 14 • number of hours + 12

1. 14
2. 12
3. this isn't a formula
4. too bad peanutbutter

................... =  ................ + ..................... • ......................

11

income

3.50

number of hours

how can you write this formula as a letter formula?
money raised = 8 + 2.50 • number of laps run

Letter formulas

important:

letters instead of words (write what they stand for)

5d means 5*d

you fill in the value of the letter to calculate

m = 8 + 2.50l

where m stands for the amount of money and l stands for the number of laps

a = 5 and b = -3

Evaluate a + b - 7

1. -15
2. -9
3. -5
4. I have no idea how to do this

p = 2 and q = -5

Evaluate 5p : q

1. -2
2. -10.4
3. 2
4. I have no idea how to do this

Coordinate plane

important:

first x-coordinate, then y-coordinate

Origin is the point (0, 0)

Quadrants I, II, III, IV

The point A(-3 , 0) is on the...

1. x-axis
2. y-axis
3. not on the x-axis or the y-axis

Give the coordinates of point K, that is 7 to the right and 3 down from point A(-3, 9).

1. K(-10, 12)
2. K(4, 6)
3. K(-6, 16)
4. K(10, 6)

Drawing graphs

how to draw a graph from a formula

1) make a table

2) draw a coordinate system

 use your table to decide the proper steps on the axes

3) draw in the points from the table in the coordinate system

4) draw a line through the points

draw with pencil (potlood)

use your protractor triangle

The formula for the length of a candle is l = 40 - 5h

Fill in the table.

Done? Draw a graph by this formula.

0

h

l

40

35

1

8

0

To which extent do you feel capable of drawing a graph?

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