Algebra Sol Test

What is the simplified form of the following?
[(-2x³) ÷ (y²)]^-3

• - [(y⁶) ÷ (8x⁹)]
• (6y⁵) ÷ (x⁶)
• - [(y⁵) ÷ (6x⁶)]
• - [(8x⁹) ÷ (y⁶)]

Alex and Vienna each graphed a line. 
⋅ Alex graphed the line y = 3x + 1
⋅ The slope of Vienna's line was larger than the slope of Alex's line.
Which of the following could be Vienna's line?

• A

• B

• C

• D

A group of children and adults attended the local fair.
Which systems of equations could be used to determine the value of a and c?

• 12a + 8c = 29
  296 + 8c = 12a

• 12a + 8c = 296
  29(12a + 8c) = 296

• a + c = 29
  12a + 8c = 296

• 12a + 8c = 296
  a + c = 296

Solve the equation for y.
^{(y - 5)}/₍₂₎ = 3x

• y = 6x + 10

• y = 6x + 5

• y = 3x + 5

• y = x + 5

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Solve: 
^{(3x + 1)}/₍₄₎ = ^{(2x - 1)}/₍₅₎

• x = -⁹/₇

• x = -²/₇

• x = -⁸/₅

• x = 0

Given the systems of inequalities,
y ≤ x + 1
y > -(²/₅)x + 1
which region must be shaded to make the systems of inequities true?

• Region A

• Region B

• Region C

• Region D

Which is the solution to the system of equations shown? 
3x - y = 6
x - 2y = -18

• (-⁶/₇, ⁶⁰/₇)

• (²⁴/₅, ⁵⁷/₇)

• (12, 6)

• (6, 12)

Which is the graph of the solution to 13 < ¹/₂(6x - 4)?

• Graph A

• Graph B

• Graph C

• Graph D