Ch 6: Formulas and letters: Formative Assessment

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 1

GOOD LUCK!

Exercise 1

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula

Calculate the length of the plants after 3 days. And after one week.

3.a

s=4+2x​2​​

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula

What was the length of the plants when Sandra started writing this down (at day 0)? 

3.b

s=4+2x​2​​

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula
s = 4 + 2x2.
a. Calculate the length of the plants after 3 days. And after one week.

Sandra planted seeds of a lemon in the earth and everyday she writes down how much the seeds have grown. After t days the small plants have a length of s millimeters. You can calculate the length of the plants with the formula

Lemon trees can become 6 meters long when they are full grown (6 m = 6000 mm)! Sandra says after 30 days she has a fullgrown tree. Do you think this can be true? Why or why not? 

3.c

s=4+2x​2​​

Exercise 2

Given the formula

find y when x = 3

y=3x​2​​−20

4.a

Given the formula

find y when x = -6

y=−5x​2​​

4.b

Given the formula

find y when x =

y=(x−2)​2​​

​4​​2​​

4.c

Exercise 3

Which function is a linear function and which function is a quadratic function? Drag the functions to the right place.

5.a

Linear function

Quadratic function

Two functions are given: 

and 

Make tables for both functions and draw both the graphs on one coordinate plane.

y=​2​​1​​x​2​​

y=−2x−2

5.b

Two functions are given
and
The graphs intersect at one point. What are the coordinates of this point?

y=​2​​1​​x​2​​

y=−2x−2

5.c

Exercise 4

The photo shows the Mike O’Callaghan-Pat Tillman Memorial Bridge in the United States of America.

The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters. What is the heighest point of this bidge? 

How far above the water is the highest point of the arch?

6.a

y=675−0,0014x​2​​

The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.

How far above the water is the beginning point of the arch (A)? And the end point (B)? 

6.b

y=675−0,0014x​2​​

The bridge has the shape of a parabola, which can be modelled by the formula 

In this formula the y stands for the height of the parabola above the water. In this formula x and y are in meters.

What is the distance between point A and point B?

6.c

y=675−0,0014x​2​​

Exercise 5

Simplify:
7a + 3ab + 4a

To answer with a square on your laptop: 

5^2 = 

5​2​​

7.a

Simplify:

−8p⋅−2q⋅p

To answer with a square on your laptop: 

5^2 = 

5​2​​

7.b

Simplify:
5ac + 13b

To answer with a square on your laptop: 

5^2 = 

5​2​​

7.c

Simplify:

To answer with a square on your laptop: 

5^2 = 

5​2​​

​2​​1​​ac⋅​4​​3​​bd

7.d

Simplify:

2x⋅−6xyz

To answer with a square on your laptop: 

5^2 = 

5​2​​

7.e

Simplify:

To answer with a square on your laptop: 

5^2 = 

5​2​​

p⋅3q⋅r⋅0

7.f

Simplify:
7xy + 5z + 3

To answer with a square on your laptop: 

5^2 = 

5​2​​

7.g

Simplify:

To answer with a square on your laptop: 

5^2 = 

5​2​​

​5​​2​​bc+​3​​2​​cb

7.h

Exercise 6

Simplify:
-3y - 7y

8.a

Simplify:
7q - 4p - 3q + p

8.b

Simplify:

1​6​​5​​x−−​3​​1​​

8.c

Simplify:
5xy - 7xz + 4yz - 2xz

8.d

Simplify:

−1​2​​1​​abc+−2​8​​1​​abc

8.e

Simplify:
-2ab - - 3a

8.f

Simplify:
2a + 3ab - 5ab - 7a

8.g

Simplify:
-8ac - 4bc + 2ab + 5ac

8.h

This is the end of the formative assessment!

Check if you've answered all the questions. 

If you are completely done, you can log off this lesson.