Properties
the associative property: which operations does it apply to? (multiplication, division, subtraction, addition)
What are: multiplication and addition
5(7x)
35x
What is the acronym for the order of operations
PEMDAS
Solve
3x, when x = 5
15
How many terms are there?
4x3 + 6 - x + 2xy - y2
5
commutative property, which operations does it apply to (multiplication, division, subtraction, addition)
What are: addition or multiplication
(x - 4) + 12
x + 8
What does each letter in PEMDAS stand for?
Parenthesis, exponents, multiplication, division, addition, subtraction
Solve
10x + 2x, when x = 6
72
What is the coefficient is the 2nd term?
4x + 3y + 2z - 9
3
Use DISTRIBUTIVE property to find the value
7 x 38
7 x 30 + 7 x 8 = 210 + 56 = 266
-3x + 5x + 1
2x + 1
When evaluating expressions with multiplication and division, what order is used to solve?
Right to left or left to right or it doesn't matter
Left to right
Solve
3x + 4y, x = 7 and y = -2
13
What is the constant in the expression:
4xy2 + 3xy - 6x - 9
- 9
Use DISTRIBUTIVE property to find the value of x in
4(x + 2) = 4•5 + 4•2
x = 5
x + 19 - 5x - 9
-4x + 12
When evaluating expressions with multiple instances of addition and subtraction, what order is used to solve?
left to right or right to left
Left to right
Solve
x2 +2x + 4, when x = 7
67
Distribute:
7 (x - 12)
7x - 84
Multiplying a number to a set of numbers being added or subtracted together. Examples:
A(B + C) = (AB) + (AC)
A(B - C) = (AB) - (AC)
What is the distributive property
7(x - 2) - (3 + 2x)
5x - 17
Which operation is completed first:
4+ 2(3x + 2x) - 6 + (2x + 5)
Use distributive property to multiply 2(3x + 2x)
Solve
-10(x + 2)2, when x = -8
-360
3x +3y = 3(___ + ___)
x, y