EOC Math 3 Review

What is the sum of A + B + C if:

 $\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$  

A company makes and boxes spaghetti. One machine fills each box with about 32 ounces of spaghetti. After the boxes are filled, another machine weighs each box. A box is discarded if the weight of the box differs by more than 0.25 ounce from the target weight of 32 ounces. Which inequality can be used to find the range of acceptable weights, x, of the spaghetti?

• $\left|x-0.25\right|\le32$

• $\left|x+0.25\right|\le32$

• $\left|x-32\right|\le0.25$

• $\left|x+32\right|\le0.25$

Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

Given:

 $f\left(x\right)=2x^3+2x-3$  and  $g\left(x\right)=-0.5\left|x-4\right|$  
What is the y-value when  $f\left(x\right)\ =\ g\left(x\right)$  ?  Round your answer to the nearest hundredth. 

A polynomial, p(x), has a lead coefficient of 1 and exactly three distinct zeros.  

* x = -1 is a zero of multiplicity two
* x = 2 is a zero of multiplicity one
* x = 4 is a zero of multiplicity one
What choice shows p(x)? 

•  $p\left(x\right)=x^3-5x^2+2x+8$  

•  $p\left(x\right)=x^3+5x^2+2x-8$  

•  $p\left(x\right)=x^4-4x^3-3x^2+10x+8$  

•  $p\left(x\right)=x^4+4x^3-3x^2-10x+8$  

A function is shown below. 
 $H\left(x\right)=4x^3-5x^2-23x+6$  

What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other? 

The diagram shows an angle graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0, 0). The x-coordinate of the point M is -1/2. What is the measure of the angle to the nearest thousandth of a radian?

• 4.712

• 4.189

• 3.927

• 3.665

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?

• $54\sqrt{2}$

• $324\sqrt{2}$

• $36\pi\sqrt{2}$

• $108\pi\sqrt{2}$

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

Which method is most likely to produce a random sample of 5 students from a school club?

• selecting 5 club members who have brown hair

• selecting the 5 club members who have raised the most funds for the club

• selecting 5 club members from a hat containing the names of all members

• selecting the 5 club members who arrive last to the club meeting