NC Math 3 EOC released #18-30

Which function does not have the set of all real numbers as its domain?

• f(x)= | 2x-1|

• f(x) = cos(x) + 1

• 0.0794

• 0.0995

• 0.4243

• 0.4774

• 4.712

• 4.189

• 3.927

• 3.665

A function, f(x) = Asin(Bx) + H, has the following properties:

- a period of 6

- a minimum value of 2

- f(2.5) = 5

- A, B, and H are all positive constants

Place the correct values into the appropriate cells below that will create this function.

A = ​ (a)   B= ​ (b)   H= ​ (c)  

• 2
• 4
• 3
• 6
• 5
• 8

The vertices of a triangle are at (0, 0), (6, 6), and (9, 3). What is the volume, in cubic units, of the figure created by rotating the triangle about y = x?

In parallelogram MNPT, m<M = (6x+10) ° and m<N = (5x+10.5) ° .

How many degrees is ∠T ?

Mathematical Equivalence

ON

In rectangle FGHI, diagonals FH and GI intersect at E.

• IE = 3x + 4

• EG = 5x – 6

What is the length of FH ?

• 5 units

• 10 units

• 19 units

• 38 units

Triangle PMT is shown

mGH = x+ 3

mPG = 4x+1

mGJ = 2x-1

What is the measure of segment PG?

• 4 units

• 7 units

• 14 units

• 17 units

• 2 units

• 4 units

• 8 units

• 16 units

David plans to cover the floor of his room with new material.

• The floor is an isosceles trapezoid whose bases are 16 feet and 26 feet and sides are 13 feet in length.

• Each piece of new material has an area of 2.5 square feet.

Assuming the pieces of new material can be cut as needed, how many pieces does David need?

• 101

• 126

• 202

• 252