ALEKS Algebra Fundamentals 2

Question 1

What is the value of f(3) if f(x) = 2x² - 5?

Accepted Answer

13

Answer

f(3) = 2(3)² - 5 = 2(9) - 5 = 18 - 5 = 13.

Question 2

Which of the following is NOT a function?

Accepted Answer

x = 3

Answer

x = 3 is a vertical line, which fails the vertical line test and is not a function.

Question 3

Solve the system: x + y = 7 and x - y = 3

Accepted Answer

x = 5, y = 2

Answer

Adding the equations gives 2x = 10, so x = 5; substituting back gives y = 2.

Question 4

What is the product of (2x + 3)(x - 4)?

Accepted Answer

2x² - 5x - 12

Answer

Using FOIL: 2x² - 8x + 3x - 12 = 2x² - 5x - 12.

Question 5

What are the solutions to x² - 5x + 6 = 0?

Accepted Answer

x = 2 and x = 3

Answer

Factor as (x - 2)(x - 3) = 0, giving solutions x = 2 and x = 3.

ALEKS - Assessment and Learning in Knowledge Spaces Practice Test