Unit 1 Retest

Unit 1:

Factoring Retest

Part 1:

Simplifying Radicals

Multiple Choice

Simplify........

$$\sqrt{27}$$

• $$9\sqrt{3}$$

• $$3\sqrt{9}$$

• $$\sqrt{27}$$

• $$3\sqrt{3}$$

Multiple Choice

Simplify........

$$2\sqrt{48}$$

• $$8\sqrt{3}$$

• $$4\sqrt{3}$$

• $$16\sqrt{3}$$

• $$32\sqrt{3}$$

Multiple Choice

Simplify........

$$\frac{\sqrt{3}}{\sqrt{10}}$$

• $$\frac{\sqrt{3}}{\sqrt{10}}$$

• $$\frac{\sqrt{3}}{10}$$

• $$\frac{\sqrt{30}}{10}$$

• $$\frac{2\sqrt{15}}{10}$$

Part 2:

Factor By Grouping

Multiple Choice

Factor......

$$3x^3+3x^2+x+1$$

• $$x\left(3x^2+x+1\right)$$

• $$\left(x+1\right)\left(3x^2+1\right)$$

• $$\left(x+3\right)\left(3x^2-1\right)$$

• $$3x^2\left(x+1\right)$$

Multiple Choice

Factor......

$$2x^3+6x^2-3x-9$$

• $$\left(2x^2-3\right)\left(x+3\right)$$

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

• $$2\left(3x^2-x-3\right)$$

• $$3x^2\left(x+1\right)$$

Part 3:

Factoring Trinomials

​Factoring when a =1 Factoring when a > 1

Multiple Choice

Factor.......

$$x^2+7x-30$$

• $$\left(x+10\right)\left(x+3\right)$$

• $$\left(x+10\right)\left(x-7\right)$$

• $$\left(x+10\right)\left(x-3\right)$$

• $$\left(x-10\right)\left(x-3\right)$$

Multiple Choice

Factor.......

$$2m^2+3m-9$$

• $$2\left(m-3\right)\left(m+3\right)$$

• $$\left(2m-3\right)\left(m+3\right)$$

• $$\left(2m-3\right)^2$$

• $$\left(2m+3\right)\left(m-3\right)$$

Poll

How do you feel overall about Factoring?

• Great! I know it all.

• Better. I learned what I missed.

• Okay. I still struggle with some questions.

• Terrible. I need a new lesson to reteach me.