How do you solve the inequality $$125 + 5x \le 400$$ ?

To solve the inequality, subtract 125 from both sides: $$5x \le 275$$ . Then, divide by 5: $$x \le 55$$ . This means Mike needs to run 55 or fewer days.

A function is a relation where each input (x-value) has exactly one output (y-value). For example, the relation $$(2,3), (4,5), (6,7)$$ is a function.

What is not a function?

A relation is not a function if any input has more than one output. For example, the relation $$(5,1), (10,2), (15,3), (15,4)$$ is not a function because the input 15 has two outputs.

What does it mean to simplify a polynomial?

Simplifying a polynomial means combining like terms and performing operations to express it in its simplest form.

What is the significance of coefficients in polynomials?

Coefficients are the numerical factors in front of the variables in a polynomial. They determine the weight of each term in the polynomial.

How do you interpret the results of a polynomial simplification?

Interpreting the results involves understanding the degree of the polynomial, the leading coefficient, and the behavior of the polynomial function.

What is the process of evaluating $$2m + 5n^2$$ ?

Substitute the values of m and n into the expression, then perform the operations: $$2(-18) + 5(11^2) = -36 + 605 = 569$$ .

What is the purpose of using inequalities in real-life scenarios?

Inequalities are used to express constraints and limits in real-life situations, such as budgeting, resource allocation, and goal setting.

How can you estimate values using a line of best fit?

You can estimate values by locating the desired x-value on the graph and finding the corresponding y-value on the line of best fit.

What is the difference between a function and a relation?

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Keystone Review 2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an inequality?

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

What is a polynomial expression?

Back

4.

FLASHCARD QUESTION

Front

How do you find the coefficient of a term in a polynomial?

Back

5.

FLASHCARD QUESTION

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It helps to predict values based on trends in the data.

6.

FLASHCARD QUESTION

Front

How do you evaluate an expression with given values?

Back

7.

FLASHCARD QUESTION

Front

What is a function?

Back

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