Algebra Moves
This algebra maneuver removes parenthesis.
What is Distribution?
A series of terms with NO equal sign.
What is an Expression?
Changing the order of addends does not change the sum.
What is the Commutative Rule of Addition?
(4 - y)-3(y + 3)=-11
y = 2
Adding all like terms on each side of an equation.
What is Simplification?
Constants, variables, and coefficients separated by plus or minus signs.
What is a term?
The order of multiplication of numbers does not change the product.
What is the Commutative Rule of Multiplication?
c - 20 = 4 - 3c
c = 6
Adding/Subtracting terms from both sides of an equation to segregate a term containing a variable.
What is to isolate a variable?
To change two or more terms to just one term so that you can perform other processes.
What is to Factor?
The sum of three or more numbers remains the same regardless of how the numbers are grouped.
What is the Associative Rule of Addition?
5(2x - 7) + 42 - 3x = 2
x = -5/7
The process of multiplying/dividing a term by the coefficient to solve for the variable.
What is solving for the variable?
A letter that always represents an unknown number.
What is a variable?
The way in which the numbers are grouped in a multiplication problem does not affect or change the product.
What is the Associative Rule of Multiplication?
Systems: 4x - 2y = 4;
2x +y = 6
(2,2)
This change happens to a term as it crosses the equal sign.
What is a change of sign?
A value or number that never changes in an equation.
What is a Constant?
Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
What is the Distributive Rule of Multiplication?
3(x2 +2) -5 = 28
x1 = -3, x2 = 3