Free Printable Algebra 2 Exam review

1.

$f\left(n\right)=3n-2$ $g\left(n\right)=-n^3+3n$ find (f+g)n

a)

$-n^3+6n-2$

b)

$-n^3-n^2-n-2$

c)

-2

d)

$n^3-6n-2$

2.

$f\left(x\right)\ =x^2-5x\ \ \ \ \ \ g\left(x\right)=x+1$ Find (f-g)(x)

a)

$-x^3+2x+5$

b)

$x^2-6x-1$

c)

$-x^2+6x-1$

d)

$-x^2-6x+1$

3.

$f\left(x\right)=x+2\ \ \ \ g\left(x\right)\ =2x+3$ find (f*g)(x)

a)

$x^4+2x^3-4x^2-8x$

b)

$2x^2+x-6$

c)

$2x^2+7x+6$

d)

$-x^3-x^2+6x$

4.

$k\left(t\right)=t^2-2t;\ Find\ k\left(-5\right)$

a)

48

b)

63

c)

35

d)

99

5.

$h\left(n\right)=3n^2+4n;\ find\ h\left(3n\right)$

a)

$27n^2+12n$

b)

$3n^2+28n+64$

c)

$3n^4+4n^2$

d)

$-1-2n+3n^2$

6.

g(n)=2n+4 h(n)=4n-3 Find (g o h)(n)

a)

8n-2

b)

8n+13

c)

$4n^2-16n+17$

d)

-8n+13

7.

$\left(8x^4+8x^3+x^2\right)\div8x^2$

a)

$x^2+x+\frac{1}{8}$

b)

$5x^2+x+2$

c)

$5x^2+5x+\frac{1}{3}$

d)

$\frac{2x^2}{3}+4x+\frac{1}{3}$

8.

$\left(18n^3+n^2+18n\right)\div9n^3$

a)

$\frac{n}{5}+\frac{1}{10}+\frac{3}{10n}$

b)

$\frac{n^2}{3}+2n+5$

c)

$n^2+\frac{n}{3}+1$

d)

$2+\frac{1}{9n}+\frac{2}{n^2}$

9.

$\left(5n^3+6n^2-6n+4\right)\div\left(n+2\right)$

a)

$5n^2-4n-\frac{2}{n+2}$

b)

$5n^2-4n+2+\frac{3}{n+2}$

c)

$5n^2-4n+2$

d)

$5n^2-4n+4$

10.

$\left(m^3-89m-76\right)\div\left(m+9\right)$

a)

$m^2-9m-6+\frac{1}{m+9}$

b)

$m^2-9m-5-\frac{6}{m+9}$

c)

$m^2-9m-6-\frac{5}{m+9}$

d)

$m^2-9m-8-\frac{4}{m+9}$

11.

$x^2=9$

a)

3

b)

0

c)

3,-3

d)

9,-9

12.

$-10x^2=-160$

a)

-4,4

b)

$\sqrt[]{89}$

c)

7,-7

d)

9,-9

13.

$4b^2-12b-72=0$

a)

(-1,-10)

b)

(2,-3)

c)

(10,1)

d)

(6,-3)

14.

$5n^2+10n-15=0$

a)

5,-5

b)

$\frac{17}{3},4$

c)

1,-3

d)

4,-5

15.

$3u^3v^2\cdot3u^4v^2$

a)

$8u^7$

b)

$9u^7v^4$

c)

$8u^5v^2$

d)

$\frac{9v^4}{u}$

16.

$\left(x^4y^{-4}\right)^3$

a)

$\frac{1}{81x^{16}}$

b)

$\frac{x^{12}}{y^{12}}$

c)

$9y^2x^4$

d)

$\frac{64}{y^6}$

17.

$\frac{2u^4}{2u^{-3}v^3}$

a)

$\frac{u^7}{v^3}$

b)

$\frac{2v^4}{3u^2}$

c)

$\frac{v^2u}{3}$

d)

$\frac{1}{4u^3v^4}$

18.

$g\left(x\right)=-x-1\ \ \ \ h\left(x\right)=x^2+3\ \ Find\ \left(g\ o\ h\right)\left(2\right)$

a)

-8

b)

12

c)

4

d)

-29

19.

$\frac{4x}{4y^{-2}x^3y^4}$

a)

$\frac{4xy^2}{3}$

b)

$\frac{1}{x^2y^2}$

c)

$\frac{8x^6}{y^2}$

d)

$\frac{2x}{y^3}$

20.

$y=x-2\ \ \ \ y=-\frac{1}{4}x+3$ Solve by graphing

a)

(-2,2)

b)

(4,2)

c)

(2,2)

d)

(0,-8)

21.

Solve by Substitution 2x-3y=24 y=-8

a)

(-8,3)

b)

(-8,7)

c)

(-8,-7)

d)

(0,-8)

22.

Solve using elimination $-10x+4y=16$ $20x-10y=-30$

a)

(-3,-2)

b)

(-2,-1)

c)

(-1,-2)

d)

(2,-2)

23.

a)

$4 daylily $3 bunch of ornamental grass

b)

$2 daylily $8 bunch of ornamental grass

c)

$12 daylily $4 bunch of ornamental grass

d)

$8 daylily $2 bunch of ornamental grass

24.

$64=\left(5a+1\right)^{\frac{3}{2}}$

a)

(-12,-9)

b)

-9

c)

3

d)

(-12,9)

25.

$\left(n-3\right)^{\frac{3}{2}}+7=71$

a)

(19,9)

b)

19

c)

(-19,9)

d)

-19

26.

$\sqrt[]{m-10}-10=-3$

a)

-59

b)

59

c)

4

d)

(-2,-59)

27.

$12=3\sqrt[]{1-3k}$

a)

-5

b)

(10,-3)

c)

10

d)

(-5,-10)

28.

$\left(-1+4i\right)-\left(-5i+5i\right)$

a)

-4+i

b)

4-i

c)

6-9i

d)

4+9i

29.

$\left(3-6i\right)+\left(6-2i\right)$

a)

9-8i

b)

-3+4i

c)

3+4i

d)

6-2i

30.

$\left(8-8i\right)^2$

a)

128i

b)

-128i

c)

1

d)

22+32i

31.

$\frac{8}{6i}$

a)

$\frac{4i}{3}$

b)

$\frac{-5i}{6}$

c)

$-\frac{5i}{3}$

d)

$-\frac{4i}{3}$

32.

$\frac{-9+5i}{-2i}$

a)

$\frac{-i}{2}$

b)

$\frac{-9i-5}{2}$

c)

$\frac{9-5i}{5}$

d)

$\frac{-8i-5}{2}$

33.

$\sqrt[]{x}$

a)

$x^{\frac{1}{2}}$

b)

$\left(7x\right)^{\frac{5}{2}}$

c)

$\left(10x\right)^{\frac{1}{3}}$

d)

$\left(3x\right)^{\frac{7}{4}}$

34.

$\sqrt[3]{7k}$

a)

$\left(7k\right)^{\frac{1}{3}}$

b)

$k^{\frac{5}{2}}$

c)

$\left(6k\right)^{\frac{1}{2}}$

d)

$\left(5k\right)^{\frac{1}{2}}$

35.

$64^{\frac{3}{2}}$

a)

512

b)

9

c)

216

d)

1000

36.

$32^{\frac{6}{5}}$

a)

32

b)

4

c)

7

d)

64

37.

$y=\left|x\right|+3$

a)

b)

c)

d)

38.

$y=2\sqrt[]{x}+1$

a)

b)

c)

d)

39.

$y\ge-\frac{1}{2}x-2\ \ \ \ \ \ \ y<-2x+1$

a)

b)

c)

d)

40.

$y<4x+1\ \ \ \ \ \ y\ge x-2$

a)

b)

c)

d)

Algebra 2 Exam review

Total questions: 40

Worksheet time: 2hrs 5mins

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