ATLIB 2020 Mathematics

Which of the following is an example of an empty set?

• The set of months with 32 days

• The set of equilaterals triangles

• The set of prime numbers less than 100

• The set of letters in the word “MATHEMATICS”

There are 8 students on the basketball team and 12 students on the football team.  What is the total number of students on the two teams if 3 students are on both teams?

• 20

• 17

• 15

• 14

C’ will contain how many elements from the original set C?

• 0

• 1

• All the elements in C

• infinite

Which situation does NOT represent a linear function?

• the value of a car decreases at a a rate of 10% annually

• a cashier earns a wage of $15 per hour

• a car rental company charges a flat rate of $100 plus a $30 for each day

• the total cost of sales increases a rate of $1.75 a bag.

If y – 2x =3, what is the y-intercept of the line?

• -2

• -3

• 2

• 3

What type of relation does the graph below illustrate?

• Many-to-Many

• Many-to-One

• One –to-Many

• One-to-One

If f(x) = 3x – 2, then f (–5) =

• -17

• -13

• -1

• 13

The slope/gradient of the line y=2 is

• 0

• 1/2

• 2

• undefined

If f(x) = 2x + 1 and g(x) = x + 2,  then fg (x)

• 2x + 3

• 2x + 5

• 2x² + 5x + 2

• 2x² + 2

The equation of the straight line, with gradient of 2, that passes through the point (3, –1) is

• y = 2x + 5

• y = 2x – 1

• y = 2x – 4

• y = 2x – 7