Mixed Algebra Review

What is the DOMAIN of this graph? NOTE* that is an OPEN circle.

• x < -3

• x ≤ -3

• x > -3

• x ≥ -3

What is the simplified form of the following expression?

• (2y⁵) ÷ (x⁵)

• (22y²) ÷ (x⁷)

• (2y²) ÷ (x⁷)

• (22y⁵) ÷ (x⁵)

Hillary is looking to purchase a piece of land to build a library.The rectangular plot of land has a length (∫) that is 25 feet longer than its width (w). The total area of the land is 6600 square feet. Which of the following best models the scenario?

• ∫ + w = 6600

• ∫ ⋅ (∫ + 25) = 6600

• 2 ⋅ (w + 25) = 6600

• w ⋅ (w + 25) = 6600

Find the quotient of (18x² + 15x - 18) and (3x - 2).

• 6x² + 9

• 3(2x + 3)

• (2x + 3)(3x - 2)

• 6x² + 5x - 6

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

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

What is the value of
8c² - 2(∛a) - ∣3b - 7∣
if a = 8, b = 2, and c = ¹/₂?

• -3

• -1

• 5

• 7

Solve the equation for b.
2b + by = 7x

• b = ^{(7x - y)}/ ₍₂₎

• b = ^(7x)/ _(2y)

• b = ^(7x)/ _{(2 + y)}

• b = ^{(7x - 2)}/ _(y)

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

• y = 6x + 10

• y = 6x + 5

• y = 3x + 5

• y = x + 5

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

• x = -⁹/₇

• x = -²/₇

• x = -⁸/₅

• x = 0

Which inequality best describes the graph shown?

• y ≤ (²/₃)x + 4

• y ≥ (²/₃)x + 4

• y ≤ (³/₂)x + 4

• y ≥ (³/₂)x + 4