Combining Like Terms / Linear Expressions
2x + 3 + x - 1
3x + 2
What property is being demonstrated below:
(2 + 4) + 7 = 2 + (4 + 7)
Associative Property of Addition
Associative (+)
Simplify by distributing:
8 (x + 7)
8x + 56
A letter that represents a number is called a(n)
Variable
Write an algebraic expression for the following verbal expressions:
The difference of twice a number and eight.
2n - 8
16x - 15 - 13x + 12
3x - 3
What property is being demonstrated below:
5 x 4 x 8 = 8 x 4 x 5
Communitive Property of Multiplication
Communitive (x)
Simplify by distributing:
-3x (7 - x)
3x2 - 21x
A number that stands alone (without a variable) is a(n)
Constant
Evaluate the following expression:
3n + 6 when n = 4
18
2 (x + 3) + 4x - 11
6x - 5
What property is being demonstrated below:
16 x 1 = 16
Multiplicative Identity
Identity (x)
Simplify by factoring:
14x - 16y
2 (7x - 8y)
The number that is front of a variable within a term is called a(n)
Describe the relationship and write the next three terms in the sequence:
4, 9, 14, 19, 24, ...
Adding 5; 29, 34, 39
(12x - 4) + (-4x - 3) - 8x
-7
What property is being demonstrated below:
13 + 0 = 13
Additive Identity
Identity (+)
Simplify by factoring:
48y2 - 36y
12y (4y - 3)
________ have the same variable with the same exponent.
Like Terms
Write an algebraic expression for the following situation:
Kayla wanted to go to the fair with her friends. She had to pay $5 to get in and $1.50 per ride.
Use the variable r and define what r represents.
5 + 1.5r; r = # of rides
- (-3x + 4) - (9x - 3)
-6x - 1
What property is being demonstrated below:
18 x 0 = 0
Multiplicative Property of Zero
Simplify by factoring:
3x4 - 24x2
3x2 (x2 - 8)
An ordered list where you add the same number to the next term
(Ex. 3, 6, 9, 12, ...)
Arithmetic Sequence
GCF (21x5, 49x3)
7x3