Algebra
Pythagorean Theorem
Distance & Length
Perimeter
Area
100

Solve for x

3x = 27

x=9

100

The formula of the Pythagorean Theorem


a^2+b^2=c^2

100

A=4 and B=12

Find the length of \overline(AB)

8

100

The perimeter of a square, 3 cm on each side.


12 cm

100

Area of a square, 3 cm on each side.


9 " cm"^2

200

Solve for x

Simplify!

6x = 3

x=1/2

200

a=3 cm and b=4 cm

Find c

a^2+b^2=c^2


5 cm

200

C=-3 and D=6

Find the length of \overline(CD)

9

200

The perimeter of a rectangle with length 8 m and width 10 m

36 m

200

Area of a rectangle:

base 20 m and height 5 m

A_("rectangle")=b cdot h

100 "m"^2

300

Solve for x

4x -5 = 27

x = 8

300

a=8 cm and b=15 cm

Find c

a^2+b^2=c^2


17 cm

300

E=-12 and F=-5

Find the length of \overline(EF)

7

300

The perimeter of a regular hexagon with sides of 3 m

18 m

300

Area of a trapezoid with base 12 cm and 10 cm. Height 5 cm

A_("trapezoid")=1/2(b_1+b_2)h


55 "cm"^2

400

Solve for x

(35 + x)/3 = 10

x=-5

400

b=12 cm and c=15 cm

Find a

a^2+b^2=c^2


9 cm

400

G=(8,5) and H=(16,11)

Find the length of \overline(GH)

D=sqrt([x_2-x_1]^2+[y_2-y_1]^2)

10

400

The perimeter of a parallelogram, base 7 cm,

height 4 cm and overhang 3 cm

P = s_1+s_2+s_3+s_4


24 cm

400

Area of a triangle, base 18m and height 24 m

A_("triangle")=1/2b\cdoth

216 "m"^2

500

Solve for x

10x - 14 = 3x + 70

x=12

500

a=10 cm and c=26 cm

Find b

a^2+b^2=c^2


24 cm

500

J=(-5,4) and K=(19,-6)

Find the length of \overline(JK)

D=sqrt([x_2-x_1]^2+[y_2-y_1]^2)

26

500

The perimeter of a right triangle with base 3 cm and height 4 cm.

a^2+b^2=c^2

12 cm

500

Area of a circle,

with radius 4.5 m

A_("circle")=pi cdot r^2

63.62 "m"^2

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