Q: Which of the following correctly applies the order of operations to evaluate $$2 + 3 \times 4^2$?

$$2 + 3 \times 16 = 2 + 48 = 50$$

Question 1

Which of the following correctly applies the order of operations to evaluate $$2 + 3 	imes 4^2$?

Accepted Answer

$$2 + 3 	imes 16 = 2 + 48 = 50$$

Question 2

Given the equation $$4x + 2 = 18$$, what is the value of $$x$$?

Accepted Answer

$$x = 4$$

Question 3

Which of the following is the correct set notation for all real numbers $$x$$ such that $$-2 \u003c x \leq 5$$?

Accepted Answer

$$\{x \mid -2 \u003c x \leq 5, x \in \mathbb{R}\}$$

Question 4

What is the domain of the function $$f(x) = \sqrt{x-3} in $$interval notation?

Accepted Answer

$$[3, \infty)$$

Question 5

A rocket is launched from a 150-foot cliff and its height is modeled by $$h(t) = -16t^2$ + 64t + 150. $$What is the maximum height the rocket reaches?

Accepted Answer

$$h(2) = -16(2)^2$ + 64(2) + 150 = 214$$ feet

Question 6

Which of the following is the correct factorization of $$x^2 - 16$?

Accepted Answer

$$(x - 4)(x + 4)$$

Question 7

Given the line $$y = -\frac{2}{3}x + 5$$, what is the slope of a line perpendicular to it?

Accepted Answer

$$\frac{3}{2}$$

Question 8

Which of the following is the correct interval notation for the set $$\{x \mid x \u003e -3 \}$$?

Accepted Answer

$$(-3, \infty)$$

Question 9

If $$f(x) = 2x^2$ - 8x + 6$$, what are the coordinates of the vertex?

Accepted Answer

$$(2, -2)$$

Question 10

Which of the following expressions is equivalent to $$(2x^3y^2$)^2$$?

Accepted Answer

$$4x^6y^4$

Question 11

A line passes through the points $$(2, 5)$$ and $$(4, 9). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = 2x + 1$$

Question 12

Which of the following is the correct classification for the number $$\sqrt{7}$$?

Accepted Answer

Irrational and Real

Question 13

What is the solution set for $$|x - 3| \u003c 5 in $$interval notation?

Accepted Answer

$$(-2, 8)$$

Question 14

Which of the following is the correct vertex form for the quadratic $$y = x^2$ - 6x + 5$$?

Accepted Answer

$$y = (x - 3)^2$ - 4$$

Question 15

If $$f(x) = x^2$ - 4x + 3$$, what are the $$x-$$intercepts of the graph?

Accepted Answer

$$(1, 0)$$ and $$(3, 0)$$

Question 16

Which of the following is the correct factorization of $$6x^2 - 7x - 3$?

Accepted Answer

$$(3x + 1)(2x - 3)$$

Question 17

Which of the following is the correct description of the range of $$f(x) = -x^2$ + 4x - 1$$?

Accepted Answer

$$(-\infty, 3]$$

Question 18

A projectile is launched and its height is modeled by $$h(t) = -16t^2$ + 32t + 80. $$How long does it take to reach the ground?

Accepted Answer

$$t = 5$$ seconds

Question 19

Which of the following is the correct simplified form of $$\frac{2x^3$y^2$$}{$$4x^2y$$}$?

Accepted Answer

$$\frac{1}{2}xy$$

Unit 1a Study Guide

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