an equation is a mathematical statement that shows 2 quantities are equal. an equation contains an...

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An equation is a mathematical statement that shows 2 quantities are equal. An equation contains an equal sign.

12 – 3 = 9 Numerical 3a = 30 Algebraic


An Equation is like a balance scale. Everything must be equal on both sides.

29 10+19=


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

other side to keep it balanced!

36 30+6=


=x + 3 8- 3 Heavier


=x + 3 8 Heavier


=x + 3 8 Heavier

What you do to one side of an equation, you must do to the other side to keep it balanced! So if you subtract 3 from the left you must also subtract 3

from the right!


=x + 3 8- 3 - 3

=x 5


=x + 3 8- 3 - 3

Algebraicallyx + 3 = 8

-3 -3x = 5


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.


To solve any equation, you want to get the variable all by itself. You get the

variable alone by using inverse operations.

Inverse Operations are like Opposites.


The inverse of add is SUBTRACT

The inverse of subtract is ADD

The inverse of multiply is

The inverse of divide is

DIVIDE

MULTIPLY


To solve an addition equation

Use the inverse operation for addition which is

subtraction.


Try to solve this addition equation

10 n + 8=

How do you get n all by itself?


Subtract 8 from both sides.

10 n + 8=

-8-82



10 n + 8=

2

Check your answer by substitution!


Try to solve this addition equation

33 n + 12=




33 n + 12=

-12-1221



33 n + 12=

21



X 1 1 =1 1 1

1111

To solve an equation, you must get the variable alone.

X = 1 1 1 1 1

X + 2 = 7

X = 5Check = 5 + 2 = 7

-2 -2

7 = 7


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

side to keep it balanced!

m + 7 30=


m + 7 = 30 Get the variable alone.

– 7 – 7 Subtract 7 from both sides.

m = 23

+7 and -7 cancel out

23 + 7 = 30 Show your check!

30 = 30 Finish your check!


Subtraction Property of EqualityThe Subtraction Property of Equality is used to solve addition equations.

It is called a property because you subtract the same number from both sides.

This is called the:


To solve a subtraction equation

Use the inverse operation for subtraction which is

addition.


Try to solve this subtraction equation

25 n - 5=



Add 5 to both sides.

25 n - 5=

+5+530



25 n - 5=

30



Try to solve this subtraction equation

18 n - 3=




18 n - 3=

+3+321



18 n - 3=

21



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

other side to keep it balanced.

a - 13 36=

a - 13 = 36 Get the variable alone.

+13 +13 Add 13 to both sides.

a = 49 +13 and -13 cancel out

49 - 13 = 36 Show your check!


copyright©amberpasillas2010


Addition Property of EqualityThe Addition Property of Equality is used to solve subtraction equations.

It is called a property because you add the same number to both sides.

This is called the:

1) x + 3 = 10- 3 - 3

x = 7

2) y - 8 = 11+8 +8

y = 19

3) n + 5 = 11- 5 - 5

n = 6

4) 13 = x + 5- 5 - 5

8 = x

5) 12 = n - 3+3 +315 = n

6) 11 + 3 = k

14 = k

copyright©amberpasillas2010


1) x + 8 = 2 -8 -8

x = -6

2) y - 13 = -4 +13 +13

y = 9

-6 + 8 = 2 2 = 2

9 – 13 = -4 -4 = -4

Solve the following equations AND check your answer!


Solve the following equations AND check your answer!

1) -4 + x = 15 2) - 4 = m + 9+4 +4

x = 19- 9 - 9

-13 = m

- 4 + (19) = 1515 = 15

- 4 = (-13) + 9 - 4 = - 4


Solve the following equations AND check your answer!1) 8 y 3

8 8 y 5

8 + (-5) = 33 = 3

2) 9 m 3 3 3 6 m

- 9 = (-6) - 3

- 9 = - 9


Take Out Your Study Guide!!!


m + 8 = 12 Get the variable alone. – 8 –8 Subtract 8 from both sides.

m = 4 +8 and -8 cancel each other out.

4 + 8 = 12 Show your check.

Subtract the same number from both sides.

#3



a – 15 = 22 Get the variable alone.

+15 +15 Add 15 to both sides.

a = 37 +15 and -15 cancel out

37 - 15 = 22 Show your check!

Add the same number to both sides.

#4



Teacher Note: The following slides may be inserted at the

beginning of the lesson if the lesson is also teaching writing expressions

and/or equations.


Addplus

sum

increased by

total

more than

added to

Subtractminus

difference

decreased by

less than

subtracted from

less

Multiplytimes

product of

twice 2

Dividequotient

Flip Flop Numbers


The product of 5 and a number c

The sum of seven and t

The difference of 6 and d.

5c

7 + t

6 – d


Flip Flop Numbers

Add 3 and 7 3 + 7

The sum of 3 and 7 3 + 7

3 increased by 7 3 + 7

The total of 3 and 7 3 + 7

3 more than 7 7 + 3

3 added to 7 7 + 3


3 minus x 3 - x3 less x 3 - x

The difference of 3 and x

3 - x3 decreased by x 3 - x

3 is less than x 3 < x

3 less than x x - 3

3 subtracted from x x - 3


1) Five plus x minus 3

2) Three times y less 4

3) Eight multiplied by y minus 7

4) The product of 10 and m decreased by 7

5) Four more than the quotient of x and 3

6) Six times m plus 8

5 + x - 3

8y - 7

10m - 7

6m + 8

3y 4

x 3 4 xor 43


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an equation is a mathematical statement that shows 2 quantities are equal. an equation contains an...

Documents

heavier slide

algebraic slide

x5 slide

subtraction equation

inverse operations

inverse of divide

opposite operation

addition equations