Operations on Integers
Adding Integers
-3 + -5 =
-8
10x + 6y - 5x =
Add like terms
10x + -5x= 5x
Answer:
5x + 6y
6x = 18
X = 3
Use the addition principle to this equation and then find the solution.
5y - 7 = 13
Add the opposite to cancel out
5y = 20
y = 4
4x = -96
X = -24
Adding Integers
(PEMDAS)
(6 + -4) + 7=
9
5 (ab)2 + 6 (ab)2 - 4 (ab)2 + 3 (ab)2 =
Remember with adding exponents they stay the same.
=10 (ab) 2
Equivalent Equations
5x - 3x = 4 + 10
2x = 14
x=7
Use the addition principle and then find the solution
3x = 11x + 24
-8x = 24
x = - 3
Multiplication Principle for Equaitons
5x /2 = 30
60/5
x= 6
Subtracting Integers
10 - 3 - 6 - 5 =
10 + - 3 + -6 + -5 = -4
2x + 5y + 3 + 7x + 2y + 7=
9x + 7y + 10
Simplify the equation by combining like terms then find the solution
-4x = 19 + 9
- 4 x = 28
x = -7
Simplify each side before using the Addition Principle
5x - 3x + 8 = 4 + 4x -6
Step 1
2x + 8 = -2 + 4x
Step 2
-2x = -10
x = 5
Use the Division Principle to solve this equation
3 (x - 2)/3 = 99
x - 2 = 33
Step 2
x = 35
Order of Operations
(PEMDAS)
( 3 - 5 ) X ( 6 - 10)=
(3 + -5) = -2
(6 + -10) = -4
-2 + -4 = -6
Use Distributive Principle
x + 4 ( x - 6) =
1x + 4x - 24
Answer:
5x - 24
Solve each equation
4x + 7x -4x = 56
7x = 56
x= 8
Simplify and use Addition Principle
7 - 4x + 3 = x - 16 - 3x
Step 1
-4x + 10 = -2x -16
Step 2
-2x + 10 = -16
Step 3 -2x = -26
X= 13
Use Multiplication and Division principle
3 (2x - 1)/7 = 9
Step 1: cancel the 7
Step 2: cancel the 3
Step 3: 2x -1 = 21
Step 4: 2x = 22
x = 11
Remember to (PEMDAS)
5 - 3 X 2 - 6 =
5 + -3 X 2 + -6 = -7
Find the value of this expression when X = 3
10x - (3x) (2x) + x2 (2x)
1st step
10x - 6x2 + 2x3
2nd step
10 X 3 - 6 X 3 X 3 + 2 X 3 X 3 X 3
30 - 54 + 54 = 30
27= 6a + 5a - 2a
27= 9a
a = 3
The Division Principle for Equations
1 - 37/ 2 - 20
-36/-18 = 2
Use Distributive Principle to do multiplication
-5 (3x2 - 6x + 2)
-15x2 + 30x - 10