How do you isolate a variable in an equation?

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

What does it mean to solve an equation?

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

What is the first step in solving the equation $$7n + 2 = 4n + 17$$ ?

The first step is to subtract $$4n$$ from both sides to simplify the equation.

What is the definition of a solution in the context of equations?

A solution is a value or set of values that satisfy the equation when substituted for the variable.

What is the process of checking a solution?

To check a solution, substitute the solution back into the original equation to verify that both sides are equal.

What is the significance of the slope in a linear function?

The slope indicates the steepness of the line and the direction of the relationship between the variables.

What is the y-intercept in the equation $$y = mx + b$$ ?

The y-intercept is the value of $$y$$ when $$x = 0$$ , represented by $$b$$ in the equation.

How can you determine if a function is linear or nonlinear from its equation?

If the highest power of the variable is 1, it is linear; if the power is greater than 1, it is nonlinear.

Freshman Final Exam Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the missing OUTPUT value if the options are -19, -17, 19, 17?

Back

5.

FLASHCARD QUESTION

Front

Back

The function is a Nonlinear Function.

6.

FLASHCARD QUESTION

Front

What is a linear function?

Back

7.

FLASHCARD QUESTION

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include quadratic, exponential, or other types of equations.

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