Integers
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Solving 2 step equations
Angle Relationships
100

14 - 16 + 20

18

~~~~

-2 + 20

100

2 - 3b + 5b

2 + 2b

100

5(3k + 10)

15k + 50

100

2x + 4x = 180

x = 30


6x = 180

x/6 = 180/6

100

A pair of angles that add to 180 are called

(a) Complementary

(b) adjacent

(c) Supplementary

(c) Supplementary

200

-7 (4 - 5)

7


200

4m - 7m + 14

-3m + 14

or 14 - 3m

200

-4 ( 3 + 2x)

-12 - 8x

~~~~~~~~~~

-4 (3) + -4 (2x)

-12  + - 8x

-12 - 8x

200

130 + x = 180

x = 50

200

A pair of angles that add to 90 degrees are called

(a) Complementary

(b) Vertical

(c) Supplementary

Complementary

300

-4 ( 6 + 4)

-40

300

4 + r + 6r + 12 + 3r

16 + 10r

300

-10 ( 3y + 4)

-30y - 40


-10 (3y) + -10 (4)

-30y - 40

300

50 + x = 90

x = 40

300

x = 40

x+15+35 = 90

x + 50 = 90

x = 40

400

25 + 50 + 25 - 25 - 25

50

400

3 - 7y + 9 - 2y

12 - 9y

400

8( -2 + 3y) + 10y

-16 + 34y

~~~~~~~~~

-16 + 24y + 10y

-16 + 34y


400

30 + x = 90

x = 60

400

Pictured here are what kind of angles?(a) complementary, (b) supplementary (c) vertical


Vertical angles

500

-3 ( 5 + 3)

-24

500

-4 + 8m + 10 - 2m

6 + 6m

500

8 + 6(2s - 5)

-22 + 12s

~~~~~~~~~~~

8 + 6(2s - 5)

8 + 6(2s) +6 (-5)

8 + 12s - 30

8-30 + 12s

-22 + 12s

500

12x + 6x = 180

x = 10


18x = 180

500

Solve for x

x = 110 because vertical angles are equal