Math 3 EOC Review

What is the remainder when x³-1 divided by (x+2)?

• 7

• -9

• -7

• 24

The function below, f(x), has (x-7) and (x+4i) as factors.

f(x)=2x⁵-13x⁴+22x³-187x²-160x+336

What is the total number of real zeros of f(x)?

• 2

• 3

• 4

• 5

The graph of the function m(x)=x³+3x²-2x-4 has a zero at -1. What are the other zeros of the function?

• -2 and 2

• -1 and 4

• $-1\pm\sqrt{5}$

• $1\pm2\sqrt{3}$

Which expression is equivalent to (x²-2x-37)/(x²-3x-40)?

• $1+\frac{x+3}{x^2-3x-40}$

• $1-\frac{x+3}{x^2-3x-40}$

• $1+\frac{2x-37}{x^2-3x-40}$

• $1-\frac{2x-37}{x^2-3x-40}$

Find the values of A, B, and C that will make the equation shown below true.
 $\frac{3x-5}{4x+3}+\frac{-2x+1}{7x-2}=\frac{Ax^2+Bx+C}{\left(4x+3\right)\left(7x-2\right)}$  

• A=12, B=-31, C=-7

• A=29, B=-51, C=16

• A=16, B=-33, C=-3

• A=13, B=-43, C=13

Which expression is equivalent to  $\frac{\left(x^2-5x+6\right)^{-1}}{\left(x-2\right)^{-2}}\div\frac{\left(x-3\right)^{-1}}{\left(x-2\right)^{-2}}?$  

•  $\frac{\left(x-2\right)^3}{\left(x-3\right)^2}$  

•  $\frac{\left(x+2\right)^3}{\left(x+3\right)^2}$  

•  $\frac{1}{x-3}$  

•  $\frac{1}{x-2}$  

A company makes and boxes spaghetti.

-One machine fills each box with approximately 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?

• |x-0.25|<32

• |x+0.25|<32

• |x-32|<0.25

• |x+32|<0.25

The graph of an equation is shown.

• y=|x|-2

• y=|2x|-2

• y=|x-2|

• y=|2x-2|

Mrs. Slate 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?

• 2 hours

• 1.75 hours

• 1.5 hours

• 1.25 hours

Two functions are shown below.

f(x)=2x³+2x-3

g(x)=-0.5|x-4|

What is the y-value when f(x)=g(x)?

• 4

• 1/2

• -1/2

• -7/4