Question 1

Which formula is used to calculate the distance between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$) in $$the coordinate plane?

Accepted Answer

$$\sqrt{(x_2$ - x_1$)^2$$ + ($$y_2$$ - $$y_1)^2$}$$

Question 2

A medical researcher plots the locations of two hospitals at $$(2, 5)$$ and $$(8, 11). $$What is the midpoint between these two locations?

Accepted Answer

$$(5, 8)$$

Question 3

Which equation represents a line with slope $$m = 3$$ passing through the point $$(2, -1)$$?

Accepted Answer

$$y = 3x - 7$$

Question 4

A company tracks the cost $$C of $$producing $$x$$ units and finds it follows the linear function $$C(x) = 50x + 200. $$What is the fixed cost?

Accepted Answer

$$200$$

Question 5

Which of the following is the correct slope formula for a line passing through points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$\frac{y_2$ - y_1$}{x_2$ - x_1$}$$

Question 6

If a line has equation $$y = -2x + 5$$, what is the $$y-$$intercept?

Accepted Answer

$$5$$

Question 7

Solve the linear equation $$4x - 7 = 9$$ for $$x.$$

Accepted Answer

$$x = 4$$

Question 8

A biologist models the population $$P of a $$species as $$P(t) = 1200 - 30t$$, where $$t is $$time in months. When will the population reach zero?

Accepted Answer

$$t = 40$$

Question 9

Which of the following is the solution to the inequality $$2x - 5 \u003c 9$$?

Accepted Answer

$$x \u003c 7$$

Question 10

A line passes through $$(1, 2)$$ and $$(4, 8). $$What is its slope?

Accepted Answer

$$2$$

Question 11

Solve the absolute value equation $$|x - 3| = 7.$$

Accepted Answer

$$x = 10 or$$ $$x = -4$$

Question 12

Which of the following is the equation of a line perpendicular to $$y = \frac{1}{2}x + 4$$ and passing through $$(0, 4)$$?

Accepted Answer

$$y = -2x + 4$$

Question 13

A student is solving the inequality $$|2x - 5| \leq 9. $$What is the solution set?

Accepted Answer

$$-2 \leq x \leq 7$$

Question 14

Which of the following represents the equation of a line in point-slope form?

Accepted Answer

$$y - y_1$ = m(x - x_1$)$$

Question 15

A chemical reaction is modeled by the function $$R(t) = 5t + 20. $$What is the rate of change of the reaction?

Accepted Answer

$$5$$

Question 16

Solve the linear inequality $$-3x + 6 \u003e 0.$$

Accepted Answer

$$x \u003c 2$$

Question 17

A line has equation $$y = 4x - 9. $$What is the zero of the function?

Accepted Answer

$$x = 2.25$$

Question 18

Which of the following is the solution to the equation $$|x + 2| = 5$$?

Accepted Answer

$$x = 3 or$$ $$x = -7$$

Question 19

A real estate agent uses the function $$P(x) = 150x + 1000 to $$model the price $$P of a $$house based on $$x$$ square feet. What does $$150$$ represent?

Accepted Answer

The price per square foot

Question 20

Which of the following is the solution to the inequality $$|x - 4| \u003e 6$$?

Accepted Answer

$$x  10$$

College Algebra: Course Schedule and Key Topics Overview

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