Question 1

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

Accepted Answer

$$(-4, 5)$$

Question 2

Given the equation $$2x + 3y = 12$$, what is the $$y-$$intercept of the graph?

Accepted Answer

$$(0, 4)$$

Question 3

Which of the following is the solution to the equation $$\frac{1}{2}(x + 2) = \frac{3}{4}$$?

Accepted Answer

$$x = -0.5$$

Question 4

A rational equation is given by $$\frac{2}{x-1} = 4. $$What value of $$x is $$NOT allowed as a solution?

Accepted Answer

$$x = 1$$

Question 5

Which of the following is the standard form of the complex number $$3 - 2i$$?

Accepted Answer

$$a + bi$$

Question 6

What is the product of $$(2 + 3i)(2 - 3i)$$?

Accepted Answer

$$13$$

Question 7

Solve the quadratic equation $$x^2 - 4 = 0$ using the square root property.

Accepted Answer

$$x = \pm 2$$

Question 8

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 9

If the discriminant $$b^2 - 4ac$ of a quadratic equation is negative, what type of solutions does the equation have?

Accepted Answer

Two complex solutions

Question 10

Express the solution set $$\{x | 1 \u003c x \leq 5\} in $$interval notation.

Accepted Answer

$$(1, 5]$$

Question 11

Solve the inequality $$2x + 3 \u003e 7$$ and express the solution in interval notation.

Accepted Answer

$$(2, \infty)$$

Question 12

Which of the following is the conjugate of the complex number $$5 - 2i$$?

Accepted Answer

$$5 + 2i$$

Question 13

What is the sum of $$(4 + 3i)$$ and $$(2 - 5i)$$?

Accepted Answer

$$6 - 2i$$

Question 14

Which method is best for solving the quadratic equation $$x^2 - 9 = 0$?

Accepted Answer

Square root property

Question 15

Solve the equation $$\frac{3}{x} = 6$$ for $$x.$$

Accepted Answer

Question 16

Which of the following best describes the equation $$2x + 3 = 2x + 3$$?

Accepted Answer

Identity equation

Question 17

If $$x^2 + 6x + 9 = 0$, what are the solutions?

Accepted Answer

$$x = -3$$

Question 18

Which of the following is the correct interval notation for $$x \u003c -3$$?

Accepted Answer

$$(-\infty, -3)$$

Study Notes: Equations and Inequalities (Precalculus, Ch. 1)

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