Definitions
What is the BEST definition of a variable? (Check your notes)
A letter the represents one or more numbers.
Write an expression that would represent the following "the sum of negative three and a number"
-3 + x
Evaluate the expression if x = 3, y = -2, and z = -5
4y + 4
-4
Simplify.
5a + 3a - 4a
4a
Factor
3n - 15
3 (n - 5)
What is the definition of a coefficient?
The number in front of a variable.
Write an expression that would represent the following "the difference between twenty-five and a number"
25 - x
Evaluate the expression if x = 3, y = -2, and z = -5
z2 + (-9)
0
Simplify.
-6x + 8 - 4x
-10x + 8
Factor.
8m - 36n
4 (2m - 9n)
What is the coefficient of the variable "x"?
ONE
Write an expression that would represent the following "twenty-five less than a number"
x - 25
Evaluate the expression if x = 3, y = -2, and z = -5
xy - z
-1
Simplify.
7x + 3 - 9x - 1
-2x + 2
Distribute.
8(x + 5)
8x + 40
1. What is the BEST definition of "like terms?"
2. Provide an example of like terms.
Terms that have the SAME variable
Write an expression that would represent the following "the product of a number and negative twelve"
-12x
Evaluate the expression if x = 4, y = -2, and z = -3
9x - 3y + 4z
30
Simplify.
2(x - 5) + 7x
9x - 10
Distribute.
-4(5x - 2)
-20x + 8
1. What is the definition of an algebraic expression?
2. Provide an example.
A mathematical phrase with at least one variable.
Write an expression that would represent the following "the difference between the product of 17 and 19 and the sum of 21 and 33"
2x + 7
Evaluate the expression if x = 4, y = -2, and z = -3
(5xyz)2
14,400
Simplify.
3(x - 2) + 7(x + 2)
10x + 8
Distribute.
5(x + 2y + 4)
5x + 10y + 20