Http://. What you do to one side of an equation, you must do to the other side to keep it balanced

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What you do to one side of an equation, you must do to the other

side to keep it balanced.


1) GOAL:Get the variable on one side of the equation.

2) You always perform the same operation toboth sides of an equation.

3) To undo an operation you perform its opposite operation to both sides of the equation.


The inverse of add is SUBTRACT

The inverse of subtract is ADD

The inverse of multiply is

The inverse of divide is

DIVIDE

MULTIPLY


x + 5 = -10 Get the variable alone.

- 5 - 5 Subtract 5 from both sides.

x = -15 +5 and -5 cancel each other out

-15 + 5 = -10 Check your answer

For an integer addition equation, subtract the same number from both sides

-10 = -10 Finish your check


x + 8 = 2 -8 -8x = -6

y - 13 = -4 +13 +13

y = 9-6 + 8 = 2 2 = 2

9 – 13 = -4 -4 = -4

Try these!


Try these!-3x = 21-3 -3

x = -7

m = 8-2(-2) (-2)

m = -16

-3(-7) = 21 21 = 21

= 8-2

-16

8 = 8


Try these!1) -4 + x = 15 2) - 4 = m + 9

+4 +4x = 19

-9 -9-13 = m

- 4 + (19) = 15

15 = 15

- 4 = (-13) + 9

- 4 = - 4


Try these!1) -5x = -35

-5 -5x = 7

-5(7) = -35

-35 = -35

2) 126

x

126

x

(-6)(-6)

-72 = x

122

6

7

12 = 12


Try these!1) 8 y 3

8 8 y 5

8 + (-5) = 3

3 = 3

2) 9 m 3 3 3 6 m

- 9 = (-6) - 3

- 9 = - 9


Try these!1) k 12

3

13 k 323

k 36

136

23

12 = 12

2) 8b 72

8b 28 8

7

b 9

-8(-9) = 72

72 = 72


Try these!-4k = 14-4 -4

k 14

4

Acceptable Answers

k 7

2 35. 3

1

2

All answers must be fully reduced!


Aren’t equationsinteresting?

TAKE OUT YOUR STUDY GUIDE


a – -3 = 21 Get the variable alone.

+ -3 + -3 Add -3 to both sides.

a = 18 + -3 and – -3 cancel out

18 - -3 = 21 Check your answer

Use inverse operations to solve integer equations.

#7

Finish your check 21 = 21


-8x = -64 Get the variable alone.

-8 -8 Divide -8 into both sides.

x = 8 -8 divided by -8 cancel out to 1.

-8 8 = -64 Check your answer.

Divide the same number into both sides

#8

Finish your check. -64 = -64




1) -5 + x = 10 2) - 8 = m + 3+5 +5

x = 15-3 -3

-11 = m

- 5 + (15) = 10

10 = 10

- 8 = (-11) + 3

- 8 = - 8

Solve and Check


1) -7x = -49-7 -7x = 7

-7(7) = -49

-49 = -49

2) 115

x

115

x

(-5)(-5)

-55 = x

115

5

5

11 = 11

Solve and Check


1) 9 y 4 9 9

y 5

9 + (-5) = 4

4 = 4

2) 3 m 7 7 7 4 m

- 3 = (4) – 7

- 3 = - 3

Solve and Check


1) k 108

18 k 808

k 80

180

08

10 = 10

2) 8b 72

8b 728 8

b 9

-8(-9) = 72

72 = 72

Solve and Check


Solve the division by multiplying by the reciprocal.

1) 2)214

7y 7

2

7

2

14 7

1 2y

49y

216

7x

7

2

7

2

7 16

2 1x

56 x

8

11

7


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Http://. What you do to one side of an equation, you must do to the other side to keep it balanced