Solving Linear Equations.
Equations- A statement that two mathematical expressions are equal and have the same value.
Variable- A letter that represents an unknown number.
Numerical coefficient- A number that multiplies the variable. In 3n-2, the numerical coefficient is 3.
Constant- A known value in equation or an expression. In the equation s = 3n - 2, -2 is a constant.
Opposite operation- Operations that "undo" other operations. Sometimes called "inverse operations." Examples of opposite operations are addition and subtraction, multiplication, and division, and squaring and taking the square root.
Distributive Property- The rule that states a(b + c) = ab + ac for all real numbers a,b, and c.
These are examples of linear expressions:
(x + 4) (2x + 4) (2x + 4y)
These are not linear expressions:
x2(no exponents on variables)
2xy + 4(can't multiply two variables)
2x / 4y(can't divide two variables)
√x(no square root sign on variables)
Variable- A letter that represents an unknown number.
Numerical coefficient- A number that multiplies the variable. In 3n-2, the numerical coefficient is 3.
Constant- A known value in equation or an expression. In the equation s = 3n - 2, -2 is a constant.
Opposite operation- Operations that "undo" other operations. Sometimes called "inverse operations." Examples of opposite operations are addition and subtraction, multiplication, and division, and squaring and taking the square root.
Distributive Property- The rule that states a(b + c) = ab + ac for all real numbers a,b, and c.
These are examples of linear expressions:
(x + 4) (2x + 4) (2x + 4y)
These are not linear expressions:
x2(no exponents on variables)
2xy + 4(can't multiply two variables)
2x / 4y(can't divide two variables)
√x(no square root sign on variables)