Like Terms
2x + 3x + 6y + 4y
5x + 10y
2(6+3)
18
2x+12
2(x+6)
a symbol used to represent a quantity that can change, usually a letter
variable
What is the perimeter of the triangle?
4x + 6
5e + 5v - 2e + 8v
3e + 13v
8(3b - 2)
24b - 16
12x + 24
12(x+2)
the number that is multiplied by the variable in an algebraic expression (the number right in front of a variable)
coefficient
What is the perimeter of the rectangle?
20x - 8
3x + 2y - 5z - 1
3x + 2y - 5z - 1
0.5 (4x - 2y)
2x - y
7x + 35
7(x+5)
a combination of variables, numbers, and at least one operation
algebraic expression
Simplify:
4x - 3(2x - 5)
4x - 6x + 15 = -2x + 15
-25p + 100 - 32p + 27
-57p + 127
-4 (5x + 2y - 7)
-20x -8y +28
3x + 9y - 36
3(x + 3y - 12)
a mathematical sentence that shows that two expressions are equivalent
equation
2(x - 3) + 3(6x - 4)
2x - 6 + 18x - 12 = 20x - 18
25 + 10.50h + 18 +14.25h
24.75h + 43
-5(6a + 8b - 3c + d)
-30a - 40b +15c - 5d
20w - 14x + 12y - 8z
2(10w - 7x + 6y - 4z)
Terms with the same variable raised to the same exponent
like terms
Evaluate the expression if x = 4, y =7, z = 10
5x + 2y - 3z
20 + 14 - 30 = 4