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Algebra 3 EOC

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Solve

 Q=144py      for yQ=\frac{144p}{y}\ \ \ \ \ \ for\ y  

a)

 y=Q144py=\frac{Q}{144p}  

b)

 y=144pQy=144pQ  

c)

 y=144pQy=\frac{144p}{Q}  

d)

 y=144Qpy=\frac{144Q}{p}  

2.

When I divide  (2x29x5)\left(2x^2-9x-5\right)  by  (x5)\left(x-5\right)  the remainder is:

a)

-7

b)

0

c)

2

d)

5

3.

 The quotient of (2x29x5)÷(2x+1) isThe\ quotient\ of\ \left(2x^2-9x-5\right)\div\left(2x+1\right)\ is  


a)

 x5x-5  

b)

 00  

c)

 x+5x+5  

d)

 2x52x-5  

4.

Calculate the value of h

a)

14

b)

10

c)

13

d)

25

5.

The measure of x is equal to:

a)

16

b)

21.7

c)

19.8

d)

22.6

6.

From a geometric perspective, the inverse of a function is:

a)

The reflection of it's graph in the y-axis as the mirror

b)

The reflection of it's graph in the x-axis as the mirror

c)

The reflection of it's graph in the line y=x as the mirror

d)

The reflection of it's graph in the line y=-x as the mirror

7.

If f(x)=3x+12f\left(x\right)=\frac{3x+1}{2}  then  f1(x)=f^{-1}\left(x\right)=  

a)

 2x13\frac{2x-1}{3}  

b)

 2y13\frac{2y-1}{3}  

c)

 3y+12\frac{3y+1}{2}  

d)

 3x+21\frac{3x+2}{1}  

8.

Solve  R=l+3w2        for wR=\frac{l+3w}{2}\ \ \ \ \ \ \ \ for\ w  

a)

 2Rl+3=w2R-l+3=w  

b)

 w=2Rl3w=\frac{2R-l}{3}  

c)

 l=2R3wl=2R-3w  

d)

 w=R2l3w=\frac{R}{2l}-3  

9.

Which law would you use to answer this question?

a)

Pythagorean Theorem

b)

Law of Sines

c)

Law of Cosines

d)

The tan ratio

10.

To the nearest whole number, c is equal to

a)

6

b)

11

c)

0

d)

8

11.

 (2x29x+1)÷(x+4) \left(2x^2-9x+1\right)\div\left(x+4\right)\   gives a remainder of:

a)

0

b)

25

c)

69

d)

-67

12.

Solve

 ax+by+c=0 ax+by+c=0\   for  yy  

a)

 y=ax+cby=\frac{ax+c}{b}  

b)

 x=bycax=\frac{-by-c}{a}  

c)

 y=axbyy=-ax-by  

d)

 y=(ax+c)by=-\frac{\left(ax+c\right)}{b}  

13.

 3x22x6x2=3x+4\frac{3x^2-2x-6}{x-2}=3x+4  

Given that

a)

 3x+43x+4  is called the divisor

b)

 3x+4 3x+4\   is called the quotient

c)

 3x+4 3x+4\   is called the remainder

d)

 3x+43x+4  is called the root

14.

If   g(x)=2x35\ g\left(x\right)=\frac{\sqrt{2x-3}}{5}  then  g1(x)=g^{-1}\left(x\right)=  

a)

 25x2+32\frac{25x^2+3}{2}  

b)

 25y232\frac{25y^2-3}{2}  

c)

 5x2+32\frac{5x^2+3}{2}  

d)

 2y35\frac{\sqrt{2y-3}}{5}  

15.

Given that sinθ=0.95\sin\theta=0.95  

a)

 θ=55°\theta=55\degree  

b)

 θ=π radians\theta=\pi\ radians  

c)

 θ=71.8°\theta=71.8\degree  

d)

 θ=0°\theta=0\degree  

16.

Convert 135o to radians

a)

π4\frac{\pi}{4}

b)

2π3\frac{2\pi}{3}

c)

3π4\frac{3\pi}{4}

d)

π7\frac{\pi}{7}

17.

Convert π9\frac{\pi}{9}  radians to degrees

a)

 35°35\degree  

b)

 75°75\degree  

c)

 120°120\degree  

d)

 20°20\degree  

18.

 D=115(P15) for PD=\frac{11}{5}\left(P-15\right)\ for\ P  

Solve

a)

 P=5D11+15P=\frac{5D}{11}+15  

b)

 P=5D+1511P=\frac{5D+15}{11}  

c)

 P=5D1115P=\frac{5D-11}{15}  

d)

 P=5D1115P=\frac{5D}{11}-15  

19.

 (2x+3)(x5)(x+1)=0\left(2x+3\right)\left(x-5\right)\left(x+1\right)=0  

The roots of

a)

 32, 5, 1\frac{3}{2},\ -5,\ 1  

b)

 32, 5, 1-\frac{3}{2},\ 5,\ -1  

c)

 23, 5, 1-\frac{2}{3},\ 5,\ -1  

d)

 3, 5, 1-3,\ 5,\ -1  

20.

Two angles that are coterminal with  70° 70\degree\   are:

a)

 430° and 290°430\degree\ and\ -290\degree  

b)

 70° and 110°70\degree\ and\ 110\degree  

c)

 430° and 610°430\degree\ and\ 610\degree  

d)

 110° and 250°110\degree\ and\ -250\degree