Question

1. $-2x - 1 < 5$

a. $x < 3$ b. $x > -3$ c. $x < 2$

1. $4x + 1 = -2x + 1$

a. 1 b. -1 c. 0

1. $|2x| \leq 14$

a. $x \leq 7$ and $x \geq -7$ b. $x \leq 12$ and $x \geq -12$ c. $x \leq 7$ or $x \geq -7$

1. if $f(x) = 2x + 2$, what is the $f(4)$?

a. 26 b. 10 c. 12

1. if $f(x) = 2x + 4$ and $g(x) = 2 - x$, what is the $f(g(x))$?

a. $-2x + 8$ b. $6x$ c. $4 - x$

1. which of the following is not a function?

a $(2, 1), (6, 3), (6, 5), (8, 7)$
b $(2, 1), (4, 3), (6, 5), (8, 5)$
c $(2, 1), (4, 3), (6, 5), (8, 7)$

1. line 1: $y = -\frac{1}{2}x + 4$ which of these lines are parallel?

line 2: $y = -2x - 9$
line 3: $y = 2x + 3$
line 4: $y = -2x + 6$
a. lines 1 and 2 b. lines 1 and 3 c. lines 2 and 4

1. find the slope between $(1, 4)$ and $(3, -6)$ $m = \frac{y - y}{x - x}$

a. -5 b. $\frac{1}{5}$ c. 5

1. write the equation in slope - intercept form. $m = -4$ $(2, 4)$ $y - y = m(x - x)$

a. $y = -4x + 2$ b. $y = -4x + 12$ c. $y = -4x + 4$

1. which of the following expressions is a quadratic trinomial?

a. $4x^2 + 11x + 6$ b. $56y^3 + 2y^2 + y - 4$ c. $c^2 - 64$

1. define degree.

a. biggest exponent b. biggest coefficient c. biggest term

Explanation:

Question 8

Step1: Add 1 to both sides

$-2x - 1 + 1 < 5 + 1$
$-2x < 6$

Step2: Divide by -2 (reverse inequality)

$\frac{-2x}{-2} > \frac{6}{-2}$
$x > -3$

Step1: Add \( 2x \) to both sides

$4x + 1 + 2x = -2x + 1 + 2x$
$6x + 1 = 1$

Step2: Subtract 1 from both sides

$6x + 1 - 1 = 1 - 1$
$6x = 0$

Step3: Divide by 6

$x = \frac{0}{6} = 0$

Step1: Apply absolute value property

\( |2x| \leq 14 \) implies \( -14 \leq 2x \leq 14 \)

Step2: Divide by 2

\( \frac{-14}{2} \leq \frac{2x}{2} \leq \frac{14}{2} \)
\( -7 \leq x \leq 7 \) (i.e., \( x \leq 7 \) and \( x \geq -7 \))

Answer:

b. \( x > -3 \)

Question 9