Question 1

Which of the following numbers is irrational?

Accepted Answer

$$\sqrt{2}$$

Question 2

What is the result when you subtract the polynomials $$3x^2 + 2x - 5$ and x^2$ - 4x + 7$$?

Accepted Answer

$$2x^2 + 6x - 12$

Question 3

Which of the following is a rational number?

Accepted Answer

$$\frac{7}{3}$$

Question 4

A medical researcher records the temperature of a patient as $$98.6$$ degrees Fahrenheit. Is this value rational or irrational?

Accepted Answer

Rational

Question 5

Subtract the polynomials $$4x^3$$ - $$2x^2 + x$ and x^3$ + x^2$ - 3x.$$

Accepted Answer

$$3x^3$$ - $$3x^2 + 4x$

Question 6

Which of the following best describes the number $$\pi$$?

Accepted Answer

Irrational

Question 7

A chemical reaction produces $$\sqrt{16}$$ grams of a substance. Is this amount rational or irrational?

Accepted Answer

Rational

Question 8

Which of the following is NOT a rational number?

Accepted Answer

$$\sqrt{3}$$

Question 9

Subtract the polynomials $$5x^2 + 3x - 1$ and 2x^2$ - x + 4.$$

Accepted Answer

$$3x^2 + 4x - 5$

Question 10

Which of the following numbers is both rational and an integer?

Accepted Answer

$$-7$$

Question 11

A historical event occurred in the year $$1492. Is $$this number rational or irrational?

Accepted Answer

Rational

Question 12

Which of the following is an example of a real-world irrational number?

Accepted Answer

The diagonal length of a square with side $$1 (i.e$$., $$\sqrt{2})$$

Question 13

Subtract the polynomials $$x^2 + 4x + 6$ and 2x^2$ - 3x + 1.$$

Accepted Answer

$$-x^2 + 7x + 5$

Question 14

Which of the following statements is true?

Accepted Answer

All integers are rational numbers.

Question 15

A scientist measures the length of a rod as $$\sqrt{10}$$ meters. Is this measurement rational or irrational?

Accepted Answer

Irrational

Question 16

Subtract the polynomials $$6x^2 - 3x + 2$ and x^2$ + 2x - 5.$$

Accepted Answer

$$5x^2 - 5x + 7$

Question 17

Which of the following is a rational number?

Accepted Answer

$$0.75$$

Question 18

Subtract the polynomials $$2x^2 + 5x - 3$ and x^2$ - 2x + 4.$$

Accepted Answer

$$x^2 + 7x - 7$

Question 19

Which of the following is NOT a property of rational numbers?

Accepted Answer

They cannot be written as a fraction.

Question 20

A student calculates the area of a circle using $$\pi r^2$. If r = 3$, is the area rational or irrational?

Accepted Answer

Irrational

Final Exam Review Guide: Key Concepts in Beginning Algebra

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