Free Printable Algebra II Exam Prep #4

1.

$\frac{7}{21n^2-3n}+\frac{3}{2}$

a)

$\frac{16\ +63n^2-9n}{6n\left(7n\ -1\right)}$

b)

$\frac{12}{21n^2-3n+2}$

c)

$\frac{14+63n^2-9n}{6n\left(7n-1\right)}$

d)

$\frac{7}{2n\left(7n-1\right)}$

2.

$\frac{n-5}{6n}\cdot\frac{42n^2+18n}{49n^3+21n^2}$

a)

$n-8$

b)

$2$

c)

$\frac{n+6}{7}$

d)

$\frac{n-5}{7n^2}$

3.

$\frac{35x-49}{3x}\cdot\frac{5}{35x-49}$

a)

$\frac{5}{3x}$

b)

$6$

c)

$\frac{6}{7x^2}$

d)

$8\left(x+3\right)$

4.

$\frac{4k^2}{4k^2-10k}\ \ Simplify\ and\ state\ excluded\ values.$

a)

$\frac{2k+5}{4k};\ \left\{0\right\}$

b)

$\frac{4k}{2k+5};\ \left\{-\frac{5}{2}\right\}$

c)

$\frac{2k}{2k-5};\ \left\{0,\ \frac{5}{2}\right\}$

d)

$\frac{2k-5}{2k};\ \left\{0\right\}$

5.

$\frac{12p-20}{8p};\ Simplify\ and\ state\ excluded\ values.$

a)

$\frac{4}{3p+4};\ \left\{-\frac{4}{3}\right\}$

b)

$\frac{p-2}{p};\ \left\{0\right\}$

c)

$\frac{3p+4}{4};\ no\ excluded\ values$

d)

$\frac{3p-5}{2p};\ \left\{0\right\}$

6.

$\frac{18n}{12}\cdot\frac{6n}{20}$

a)

$\frac{15}{8}$

b)

$\frac{5}{2}$

c)

$\frac{9n^2}{20}$

d)

$15$

7.

$\frac{8r-16}{2}\div\frac{8r-16}{3}$

a)

$\frac{3}{2}$

b)

$\frac{r-1}{2}$

c)

$\frac{3}{\left(r-1\right)\left(r+5\right)}$

d)

$\frac{r+3}{4}$

8.

$Rewrite\ in\ \exp onential\ form:\ \log_3729=6\ \$

a)

$6^3=729$

b)

$3^6=729$

c)

$6\cdot3^6=729$

d)

$\frac{729}{3}=6$

9.

$\log4\ +\ 3\log\ x\ -\ 2\ \log\ y\ ;\ Condense$

a)

$4\log\ \frac{3x}{2y}$

b)

$\log\ 4x^3y^2$

c)

$\log\ \frac{x^{12}}{y^2}$

d)

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

10.

$Solve\ for\ x:\ \ 2^{\left(x+3\right)}=\ 8^{\left(x-1\right)}$

a)

$x=\ -3$

b)

$x\ =\ 3$

c)

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

d)

$x=0$

Algebra II Exam Prep #4

Total questions: 10

Worksheet time: 20mins

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