I need some help with the following problems. If you could, please show mehowto find the correct answers, since I know what the correct answers are already. I'm taking my Midterm on Tuesday. So, I would like to see some replies by tomorrow. I will also post some new problems tomorrow and maybe even on Monday. Thanks in advance for those who can help me.

Linear Equations

1.)$\displaystyle

\frac{1}{2}x -\frac{7}{4} = -\frac{3}{4}x + 5

$

Correct Answer:

$\displaystyle

x = \frac{27}{5}

$

2.)$\displaystyle

\frac{2}{3}x -\frac{11}{6} = 1 -\frac{3}{4}x

$

Correct Answer:

$\displaystyle

x = 2

$

Literal Equations

1.)The surface area of a cylinder is given by the following equation. Solve it for h:

$\displaystyle

S = 2(pi)rh + 2(pi)r^2

$

Correct Answer:

$\displaystyle

h = \frac{S - 2(pi)r^2}{2(pi)r}

$

2.)$\displaystyle

|5x - 1| = -4

$

Correct Answer:

No Solution

3.)$\displaystyle

|3x - 2| \geq -2

$

Correct Answer:

All Real Numbers

4.)$\displaystyle

|5x - 2| < -4

$

Correct Answer:

No Solution

5.)Solve for y:

$\displaystyle

x = \frac{2}{3}(y + 4)

$

Correct Answer:

$\displaystyle

y = \frac{3}{2}x - 4

$

Inequalities

1.)$\displaystyle

2x + 1 \leq 6x - 1

$OR$\displaystyle

4x - 7 \leq -11

$

Correct Answer:

$\displaystyle

x \geq \frac{1}{2}

$OR$\displaystyle

x \leq -1

$

2.)$\displaystyle

-1 \leq -2x + 1 < 5

$

Correct Answer:

No Solution

Absolute Value Equations

1.)$\displaystyle

|3x + 2| = 10

$

Correct Answer:

$\displaystyle

x = \frac{8}{3}

$

$\displaystyle

x = -4

$

2.)$\displaystyle

2|5x - 1| + 12 = 4

$

Correct Answer:

No Solution

3.)$\displaystyle

2|3x - 4| + 4 = 8

$

Correct Answer:

$\displaystyle

x = \frac{2}{3}

$

$\displaystyle

x = 2

$

4.)$\displaystyle

|\frac{1}{2}x - 3| + 5 = 11

$

Correct Answer:

$\displaystyle

x = -6

$

$\displaystyle

x = 18

$

5.)$\displaystyle

|3x + 2| < 8

$

Correct Answer:

$\displaystyle

x < 2

$AND$\displaystyle

x > \frac{-10}{3}

$

6.)$\displaystyle

2|x - 3| + 5 \geq 17

$

Correct Answer:

$\displaystyle

x \geq 9

$OR$\displaystyle

x \leq -3

$

7.)$\displaystyle

|5x - 7| < 5 -3

$

Correct Answer:

No Solution

7.)$\displaystyle

4|3x + 5| + 9 > 1

$

Correct Answer:

All Real Numbers

Order Of Operations

1.)Simplify:

$\displaystyle

-3^2 + [4(2^2 - 1) + 6]3 -(-2)

$

Correct Answer:

$\displaystyle

47

$

2.)Evaluate $\displaystyle x^3 + x^2 + x$ when x = -3:

Correct Answer:

$\displaystyle

-21

$

3.)Evaluate the following when a = 2, b = -3, and c = -4:

$\displaystyle

\frac{a^3 + b^2 + c^2}{|abc|} =

$

Correct Answer:

$\displaystyle

\frac{11}{8}

$