Algebra

Expressions

100

What is a simplified expression for the perimeter (omkrets) of a square if one side is A cm long?

4A cm

200

What is a simplified expression for the perimeter (omkrets) of a rectangle where one side is 3 times as long as the other side and the shorter side has length B dm?

8B dm

300

Alice has A kr, Bob has 5 kr more than Alice, Clara has 10 kr less than twice as much as Alice. What is a simplified expression for how much money they all have together?

4A - 5 kr

400

I have drawn a square and an equilateral triangle (liksidig). Each side of the triangle is 3 cm less than the whole perimeter (omkrets) of the square. If a side of the square is K meters, what is a simplified expression for the perimeter of the triangle?

12K - 9 meters

500

The perimeter (omkrets) of a square is 8A cm. What is a simplified expression for the area of the square?

4A² cm²

Simplify

100

4x+3-2x=

2x+3

200

-3a+20-6+4-2a+a=

-4a+18

300

3.1b - 4.5 + 0.5 - 2.8b + b =

1.3b - 4

400

-x/2 + 5 - x/2 - 3 + 1 =

-x + 3

500

x/2 - 15 + x/3 - 4 +1 =

5x/6 -18

Integer equations

100

Solve: 3b + 4 = 22

b = 6

200

Solve: 9f - 11 = 17f - 27

f = 2

300

6 -3k +2k - 2 + 3 - k = 11k + 18 - 3 + 1 - k - 3k + 9

k = -2

400

99x - 23 = 12 - 11x - 6 + 4 + 2x - 33

x = 0

500

4(2x - 3) = 156

x = 21

Decimal equations

100

1.2a - 3.6 = 4.8

a = 7

200

1.2b - 3.6 = 3.6b + 1.2

b = -2

300

0.86c - 4 + 1 - c = 2.4 - 1.64c

c = 3.6

400

2(0.5a-1.5) = 43

a = 46

500

0.5(x+1) = 4(0.5x - 0.2) + 0.1

x = 0.8

Fraction equations

100

x/2 + 8 = 36

x = 56

200

x/4 - 8 = 1.5

x = 38

300

2a/3 - 5 = 31

a = 54

400

b/2 = 30 - b/3

b = 36

500

x/2 + x/3 + x/4 = 169

x = 156