The Distributive Property
Use the Distributive Property to expand:
3(–2x + 2)
-6x + 6
Simplify the expression:
6n + 3n - 5m + 12 + 9m
9n + 4m + 12
Add the linear expressions:
(5x - 4) + (9x + 5)
14x + 1
Subtract the linear expressions:
(-5x + 4) - (-3x + 2)
-2x + 2
What is the definition of a VARIABLE?
***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***
A letter that represents an unknown value.
Example: 5b - 12
VARIABLE: b
Use the Distributive Property to expand:
–2(x + 1)
-2x - 2
Simplify the expression
-8a - 3a + 15b + 9 + 6
***DOUBLE JEOPARDY***
-11a + 15b + 15
Add the linear expressions:
(-x + 4) + (-2x - 5)
-3x - 1
Subtract the linear expressions:
(11x + 3) - (-4x + 12)
15x - 9
What is a COEFFICIENT?
***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***
The number that is "attached" to a variable.
Ex: 3x + 4
Coefficient: 3
Use the Distributive Property to expand:
–4(–5m + 9)
20m - 36
Simplify the expression
4x - 3x + 2x + 12 - 19
3x -7
Add the linear expressions:
(x - 1) + (-2x + 7)
-x + 6
Subtract the linear expressions:
(x - 6) - (13x - 12)
-12x + 6
What is the definition of a CONSTANT?
***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***
A number by itself without a variable.
Example: 5x - 12
CONSTANT: 12
Use the Distributive Property to expand:
–2(7.5g - 9.5)
-15g + 19
Simplify the expression
2c - 3d - 5c + 4d + 8
-3c + d + 8
Add the linear expressions:
(3x - 4) + (-2x - 9)
x - 13
Subtract the linear expressions:
(-9x - 9) - (2x + 1)
-11x - 10
What is an EXPRESSION?
***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***
A mathematical statement with no equal sign.
Example: 9m + 7
Use the Distributive Property to expand:
-12(-3.1x - 10)
37.2x + 120
Simplify the expression
12m - 19x - 3m + 19x + 12 - 18
9m - 6
Add the linear expressions:
(9x + 11) + (-12x + 8)
-3x + 19
Subtract the linear expressions:
(8 - x) - (-4 + 3x)
***DOUBLE JEOPARDY***
-4x + 12
What is the definition of a TERM?
***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***
A number, variable, or numbers and variables connected together (separated by + and - signs in an expression)
Example: 3x + 4c - 12
TERMS: 3x, 4c, 12