Linear or Non- Linear
Explain a graph
Linear equations form a straight line.Nonlinear equations form curve
Explain how to use the scientific notation on expression and equations
Perform operations on very large or small numbers using scientific notation
Explain the Product Rule
Add exponents when multiplying the same base
Explain an Output
The result after applying the function rule to the input, know as the dependent variable.
Whatever is done to one side must be done to the _____.
The Other
Explain rate of change
Linear functions have a constant slope (same steepness throughout). Nonlinear functions have a variable slope.
Whatever you do to one side of the equation, you must do to the other to _______balance.
maintain.
Explain the Quotient Rule
Subtract exponent when dividing the same base
Explain an Input
The value you start with, also know as the independent variable.
If the ___________ is on the right, the same rules apply to solve for it.
The Variable
Explain linear tables
In linear tables, a constant change "x" leads to a consistent addition/subtraction in "y". In nonlinear, this change is not consistent.
Explain simplifying expressions
Utilizing the distributive property and combining like terms.
Explain the power of a power rule
When raising a power to another power, multiply the exponents.
Each input must yield exactly one _______.
Output
Identify the constant term added to or __________from the variable term.
Subtracted from
Non-linear or linear?
\(y = 3x + 2\)
linear
Analyze and solve pairs of simultaneous ________ equations.
linear
Explain the Zero Exponent Rule
Any non-zero base raised to the power of zero is 1.
If input values increase, the rule often involves multiplication or addition. if inputs decrease, the rule may involve subtraction or _______.
Division
Identify the coefficient multiplying the variable or the divisor _______ it.
Beside (or attached to) it
Explain Non-linear
A, typically complex, system where the output is not proportional to the input.
Work with integer exponents, square _______, and cube roots
root
When multiplying two powers with the same base, you keep the base and add their ____?
Exponents
The same algebraic rule must apply to every _____ in the table.
Row (or input-output pair)
Substitute the value found back into the original equation to ensure both sides are _______.
Equal or Satisfied