ALEKS Math Practice Test 2

Determine the greatest common factor for the following monomials: 3a⁴bc³, 12a²b²c²

Enter in exponents as using the carrot symbol. Example: 3x^2

Simplify the following expression: 6x³/2x²

Solve for x: 24 = ∛(64x – 8)

Round to the nearest thousandth. Enter in your answer as x=

Solve using the Quadratic Formula: 6r² - 48r - 54 = 0

Enter in your answer as r=;r= 

Example: r=12;r=4

Determine the diagonal of the rectangle. Round your answer to the nearest hundredth.

Find the vertex of the following parabola: y = 2x² + 4x - 8

Enter your answer as an ordered pair. Example: (3,7)

Find the midpoint of (10, 20) and (-4, -8).

Enter your answer as an ordered pair. Example: (3,9)

Simplify: 24⁻³

Enter in exponents as using the carrot symbol. Example: 3x^2

Determine if the following are inverse functions: f(r) = (-16+r)/4  and g(r) = 4r + 16

Enter in Yes or No as your answer.

Evaluate: log₁₄2744

What will the population be in 240 hours?

An invasive alga is discovered growing in a pond. The algae current population is 26, and it doubles in size in a timespan of 6 hours. What will the population be in 240 hours?

Enter in exponents using the ^ symbol. Example: 2x^3

The box plot shows the age of attendees at a local convention. What percent of attendees are at least 37 years old?

Your company is holding an employee appreciation raffle. The names of all forty employees are placed in a hat for the drawing of three prizes. The best prize will be the last one drawn. Assuming an employee can only win one prize, what is the probability that you will win the best prize?

If a jacket originally costs $150 and there’s a 20% discount, what should the final price of the jacket be?

Solve the proportions equation \frac{x}{7}=\frac{3}{8} for x