Question 1

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

Accepted Answer

$-5$

Question 2

Evaluate the following expression using the order of operations: $8 + 2 	imes (5^2 - 3^2)$

Question 3

Convert $4.56 	imes 10^3$ to decimal notation.

Accepted Answer

$4560$

Question 4

Which of the following is the correct scientific notation for $0.00082$?

Accepted Answer

$8.2 	imes 10^{-4}$

Question 5

A medication’s price increased from $\$40$ to $\$50$. What is the percent increase?

Accepted Answer

$20\%$

Question 6

A scientist records the following temperatures (in $^\circ$C): $12, 15, 18, 21, 24$. What is the mean temperature?

Accepted Answer

$18$

Question 7

Find the domain of the relation $R = \{(2, 5), (3, 7), (4, 9), (5, 11)\}$.

Accepted Answer

$\{2, 3, 4, 5\}$

Question 8

What is the distance between the points $A(1, 2)$ and $B(4, 6)$?

Accepted Answer

$5$

Question 9

Find the midpoint of the segment joining $(2, 3)$ and $(8, 11)$.

Accepted Answer

$(5, 7)$

Question 10

A circular garden has the equation $x^2 + y^2 - 6x + 8y = 0$. What are the center and radius of the garden?

Accepted Answer

Center: $(3, -4)$, Radius: $5$

Question 11

Which of the following is the standard equation of a circle with center $(2, -1)$ and radius $4$?

Accepted Answer

$(x - 2)^2 + (y + 1)^2 = 16$

Question 12

A soda can has a volume of $355$ mL. If the can is a cylinder with a height of $12$ cm, what is the approximate radius in cm? (Use $V = \pi r^2 h$ and $\pi \approx 3.14$)

Accepted Answer

$3.07$

Question 13

If $a = 2.5 	imes 10^3$ and $b = 4 	imes 10^2$, what is $a 	imes b$ in scientific notation?

Accepted Answer

$1.0 	imes 10^5$

Question 14

A population decreased from $12,000$ to $9,000$ over a year. What is the percent decrease?

Accepted Answer

$25\%$

Question 15

Which of the following sets contains only irrational numbers?

Accepted Answer

$\{\sqrt{2}, \pi, e\}$

Question 16

Given the relation $S = \{(x, y) | y = 2x + 1, x \in \mathbb{R}\}$, what is the range of $S$?

Accepted Answer

$\mathbb{R}$

Question 17

A biologist measures the heights (in cm) of 5 plants: $10, 12, 15, 18, 25$. What is the median height?

Accepted Answer

$15$

Question 18

If $f(x) = x^2 - 4x + 7$, what is the value of $f(3)$?

Accepted Answer

$4$

Question 19

A circle has the equation $(x + 1)^2 + (y - 2)^2 = 25$. Which point lies on the circle?

Accepted Answer

$(4, 2)$

Question 20

A car travels from point $A(2, 3)$ to point $B(10, 15)$. What is the distance covered?

Accepted Answer

$14$

College Algebra Study Guide: Numbers, Data, and Graphing

Study Guide - Practice Questions

Study Guide - Flashcards