Use the quadratic formula to solve: $$x^2+3x+1=0$$

$$x=\frac{-3\text{±}\text{√}5}{2}$$

What is the sum of the roots of a quadratic equation?

The sum of the roots is given by $$-b/a$$ .

What is the product of the roots of a quadratic equation?

The product of the roots is given by $$c/a$$ .

Define the term 'set union'.

The union of two sets A and B, denoted as $$A igcup B$$ , is the set of elements that are in A, in B, or in both.

What is the definition of an exponential function?

A function of the form $$f(x) = a \times b^x$$ where @@a eq 0 $$ and $$ b > 0@@.

What is the definition of a polynomial function?

A function that can be expressed in the form $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ where @@a_n eq 0@@.

What is the difference between a rational and an irrational number?

A rational number can be expressed as a fraction $$\frac{p}{q}$$ where $$p$$ and $$q$$ are integers and @@q eq 0@@; an irrational number cannot be expressed as such.

What is the definition of a linear equation?

An equation that makes a straight line when graphed, typically in the form $$y = mx + b$$ .

What is the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept.

College Mathematics Semester Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Identify the next number in the pattern: 20, 15, 11, 8, 6, _

Back

5

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the correct set notation for A U B?

Back

{12, 14, 15, 18, 21}

6.

FLASHCARD QUESTION

Front

What is the definition of a quadratic equation?

Back

7.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

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