What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the roots of the quadratic equation $$ax^2 + bx + c = 0$$ .

What is the difference between a permutation and a combination?

A permutation is an arrangement of objects where order matters, while a combination is a selection of objects where order does not matter.

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): $$c^2 = a^2 + b^2$$ .

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

The slope m of a line through two points is given by the formula $$m = \frac{{y2 - y1}}{{x2 - x1}}$$ .

What is the definition of a rational number?

A rational number is any number that can be expressed as the quotient or fraction $$\frac{p}{q}$$ , where p and q are integers and q ≠ 0.

What is the difference between a dependent and independent variable?

An independent variable is a variable that is manipulated or changed in an experiment, while a dependent variable is the variable that is measured or observed.

What is the formula for the volume of a cylinder?

The volume V of a cylinder is given by the formula $$V = \pi r^2 h$$ , where r is the radius and h is the height.

What is a function's domain?

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

College Mathematics Semester Review Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the complement of a set A, denoted A'?

Back

The complement of a set A, denoted A', is the set of all elements in the universal set that are not in A.

2.

FLASHCARD QUESTION

Front

Back

30

3.

FLASHCARD QUESTION

Front

Convert 34 kilometers (km) to meters (m).

Back

34000m

4.

FLASHCARD QUESTION

Front

What is the intersection of sets A and B, denoted A ∩ B?

Back

The intersection of sets A and B, denoted A ∩ B, is the set of elements that are common to both A and B.

5.

FLASHCARD QUESTION

Front

Which of the following represents a function?

Back

A function is a relation where each input has exactly one output.

6.

FLASHCARD QUESTION

Front

Define a linear function.

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

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