Free Printable 4.04 Do Now

1.

Simplify $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$

a)

$\frac{n-3}{n-8}$

b)

$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$

c)

$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$

d)

$\frac{n^2+2n-14}{2n-3}$

2.

$\frac{2a-20}{6a}\times\frac{a-9}{a-10}$ Simplify

a)

$\frac{2a^2-180}{6a^2-60a}$

b)

$\frac{2\left(a-9\right)}{6a}$

c)

$\frac{a-9}{3a}$

d)

$\frac{3a-29}{7a-10}$

3.

$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$ Simplify

a)

$\frac{m-5}{m-2}$

b)

$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$

c)

$\frac{m^2+2m-32}{m^2+14m+49}$

d)

$\frac{-5}{2m^2}$

4.

Simplify $\frac{7n}{3n-18}+\frac{n+3}{3}$

a)

$\frac{8n+3}{3n-15}$

b)

$\frac{n^2+4n-18}{3\left(n-6\right)}$

c)

$\frac{7\left(n+3\right)}{3\left(3n-18\right)}$

d)

$\frac{7n+n+3}{3n-18+3}$

5.

Simplify $\frac{8n}{n-3}+\frac{3n}{5n-6}$

a)

$\frac{43n^2-9}{\left(5n-6\right)\left(n-3\right)}$

b)

$\frac{11n}{6n-9}$

c)

$\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}$

d)

$\frac{8n+3n}{n-3+5n-6}$

6.

$\frac{4x}{x-5}-\frac{3}{x-6}$ Simplify

a)

$\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$

b)

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

c)

$\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$

d)

$\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$

7.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

8.

$\frac{10x}{x-8}\times\frac{6x\left(x-8\right)}{6x}$

a)

$\frac{5x}{3}$

b)

$\frac{10x}{x-8}$

c)

10x

d)

$\frac{6x\left(x-8\right)}{6x}$

9.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

10.

Multiply the expressions

$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$

a)

$n-1$

b)

$\frac{2\left(n-1\right)}{n+3}$

c)

$2\left(n-1\right)$

d)

$1$

4.04 Do Now

Total questions: 10

Worksheet time: 30mins

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