Upload
bernadette-oliver
View
215
Download
0
Tags:
Embed Size (px)
Citation preview
http://www.mathslideshows.com
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
http://www.mathslideshows.com
An Equation is like a balance scale. Everything must be equal on both sides.
29 10+19=
http://www.mathslideshows.com
What you do to one side of an equation, you must do to the
other side to keep it balanced!
36 30+6=
http://www.mathslideshows.com
=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!
http://www.mathslideshows.com
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.
http://www.mathslideshows.com
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.
http://www.mathslideshows.com
The inverse of add is SUBTRACT
The inverse of subtract is ADD
The inverse of multiply is
The inverse of divide is
DIVIDE
MULTIPLY
http://www.mathslideshows.com
To solve an addition equation
Use the inverse operation for addition which is
subtraction.
http://www.mathslideshows.com
Try to solve this addition equation
10 n + 8=
How do you get n all by itself?
http://www.mathslideshows.com
Subtract 8 from both sides.
10 n + 8=
2
Check your answer by substitution!
http://www.mathslideshows.com
Try to solve this addition equation
33 n + 12=
How do you get n all by itself?
http://www.mathslideshows.com
Subtract 12 from both sides.
33 n + 12=
21
Check your answer by substitution!
http://www.mathslideshows.com
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
http://www.mathslideshows.com
What you do to one side of an equation, you must do to the other
side to keep it balanced!
m + 7 30=
http://www.mathslideshows.com
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!
http://www.mathslideshows.com
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:
http://www.mathslideshows.com
To solve a subtraction equation
Use the inverse operation for subtraction which is
addition.
http://www.mathslideshows.com
Try to solve this subtraction equation
25 n - 5=
How do you get n all by itself?
http://www.mathslideshows.com
Try to solve this subtraction equation
18 n - 3=
How do you get n all by itself?
http://www.mathslideshows.com
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!
36 = 36 Finish your check!
copyright©amberpasillas2010
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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!
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
12 = 12 Finish your check!
http://www.mathslideshows.com
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
22 = 22 Finish your check!
http://www.mathslideshows.com
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.
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
http://www.mathslideshows.com
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
http://www.mathslideshows.com
If you have trouble viewing you need
MathType software: To see all math formulas
correctly you need to install MathType software, similar to
equation editor and is available for free at
Design Science website .