Question 1

Which of the following points is located in Quadrant II of the Cartesian coordinate system?

Accepted Answer

$$(-2, 4)$$

Question 2

Given the points $$A(-3, -1)$$ and $$B(2, 3)$$, what is the distance between them? Use the distance formula.

Accepted Answer

$$\sqrt{41}$$

Question 3

What is the midpoint of the segment with endpoints $$(7, -2)$$ and $$(9, 5)$$?

Accepted Answer

$$(8, 1)$$

Question 4

Which equation is an identity?

Accepted Answer

$$3x = 2x + x$$

Question 5

Solve for $$x$$: $$4(x-3) + 12 = 15 - 5(x+6)$$

Accepted Answer

$$x = -5$$

Question 6

What is the slope of the line passing through the points $$(2, -1)$$ and $$(-5, 3)$$?

Accepted Answer

$$-\frac{4}{7}$$

Question 7

Which of the following is the equation of a line with slope $$-3$$ passing through $$(4, 8) in $$slope-intercept form?

Accepted Answer

$$y = -3x + 20$$

Question 8

If two lines are perpendicular and one has a slope of $$2$$, what is the slope of the other?

Accepted Answer

$$-\frac{1}{2}$$

Question 9

A cell phone company charges a monthly fee of $$34 plus 0.05 $$per minute. Write a linear equation for the total monthly cost $$C in $$terms of the number of minutes $$m.$$

Accepted Answer

$$C = 0.05m + 34$$

Question 10

Solve for $$x$$: $$x^2 - 9 = 0$

Accepted Answer

$$x = \pm 3$$

Question 11

Which of the following is the correct quadratic formula for solving $$ax^2 + bx + c = 0$?

Accepted Answer

$$x = \frac{-b \pm \sqrt{b^2$ - 4ac}}{2a}$$

Question 12

What is the value of the discriminant for the equation $$x^2 + 4x + 4 = 0$ and what does it indicate about the solutions?

Accepted Answer

$$0$$, one real solution

Question 13

Solve for $$x$$: $$\sqrt{-2x + 8} = x$$

Accepted Answer

$$x = 4$$

Question 14

Which of the following is the correct solution set in interval notation for $$x - 15 \u003c 4$$?

Accepted Answer

$$(-\infty, 19)$$

Question 15

Solve the absolute value equation $$|6x + 4| = 8.$$

Accepted Answer

$$x = \frac{2}{3}, x = -2$$

Question 16

Which of the following best describes the graph of $$y = 2x + 1$$ compared to $$y = 2x - 3$$?

Accepted Answer

They are parallel lines with different y-intercepts.

Question 17

If $$|x| \u003c -1$$, what is the solution set?

Accepted Answer

$$\emptyset$$

Question 18

Which of the following is the correct form of the point-slope equation for a line with slope $$m$$ passing through $$(x_1$, y_1$)$$?

Accepted Answer

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

Question 19

Given the quadratic equation $$x^2 + 5x + 6$$ \u003c 0$$, which interval contains all solutions?

Accepted Answer

$$(-3, -2)$$

College Algebra Chapter 2: The Rectangular Coordinate System, Linear Equations, and Inequalities

Guida di studio - Domande di pratica

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