Core Academic Skills Assessment Mathematics: Algebra and Functions Questions and Answers

Question 1

A printing company charges a flat fee of $15 for setup, plus $0.05 per page for a printing job.
Which of the following functions, C(p), represents the total cost for a job that requires 'p' pages to be printed?

Accepted Answer

C(p) = 15 + 0.05p

Answer

C(p) = 15p + 0.05

Answer

C(p) = 15.05p

Answer

C(p) = 15 + 5p

Question 2

If f(x) = 3x² - 4x + 2, what is the value of f(-2)?

Accepted Answer

22

Answer

6

Answer

18

Answer

-2

Question 3

Solve the following inequality for x:  2(x + 3) > 4x - 10

Accepted Answer

x < 8

Answer

x > 8

Answer

x > -2

Answer

x < -2

Question 4

A conference hall has two seating plans. Plan A uses 8 small tables and 5 large tables to seat 120 people. Plan B uses 6 small tables and 7 large tables to seat 136 people. If 's' is the number of seats at a small table and 'l' is the number of seats at a large table, which system of equations correctly represents this situation?

Accepted Answer

8s + 5l = 120
6s + 7l = 136

Answer

8s + 6l = 120
5s + 7l = 136

Answer

s + l = 13
s + l = 136

Answer

14s + 12l = 256
s + l = 1

Question 5

Which of the following is equivalent to the expression (3x - 2)(x + 5)?

Accepted Answer

3x² + 13x - 10

Answer

3x² - 13x - 10

Answer

3x² + 17x + 10

Answer

4x + 3

Question 6

The population of a town is modeled by the function P(t) = 12,000(1.03)ᵗ, where 't' is the number of years since 2010. Which of the following statements BEST describes the population's growth?

Accepted Answer

The population grows by 3% each year.

Answer

The population decreases by 3% each year.

Answer

The population grows by 103 people each year.

Answer

The initial population in 2010 was 1.03.

A printing company charges a flat fee of $15 for setup, plus $0.05 per page for a printing job.Which of the following functions, C(p), represents the total cost for a job that requires 'p' pages to be printed?

A printing company charges a flat fee of $15 for setup, plus $0.05 per page for a printing job.
Which of the following functions, C(p), represents the total cost for a job that requires 'p' pages to be printed?