Quiz about Math 2 Notebook/ Assignment Check Unit 4A

Question 1

(From Notes: Intro to Factoring)

Fill in the blank: The process of changing the sum to a product is called _____.

Accepted Answer

Factoring

Answer

Area Model

Answer

Standard Form

Answer

Quadratics

Question 2

(From Notes: Intro to Factoring)

Fill in the blank: Area as a product is the _____ of the quadratic equation.

Accepted Answer

Factored Form

Answer

Area Model

Answer

Standard Form

Answer

Sum

Question 3

(From Notes: Greatest Common Factor)

Fill in the blank: Think of factoring as _____.

Accepted Answer

un-distributing

Answer

distributing

Answer

finding the product

Answer

multiplying

Question 4

(From Notes: Greatest Common Factor)

What is the GCF of $$4x^3+12x^2-8x$$ ?

Accepted Answer

4x

Answer

x

Answer

4

Answer

2

Answer

2x

Question 5

(From Notes: Difference of Two Squares)

Factor $$x^2+16$$ .

Accepted Answer

Not factorable.

Answer

(x+4)(x+4)

Answer

(x-4)(x+4)

Answer

(x+8)(x+8)

Answer

(x-8)(x+8)

Question 6

(From Notes: Difference of Two Squares)

Factor $$25x^2-16$$ .

Accepted Answer

(5x-4)(5x+4)

Answer

(5x+4)(5x+4)

Answer

Not factorable.

Answer

(5x+8)(5x+8)

Answer

(5x-8)(5x+8)

Question 7

(From Notes: Factoring Quadratics Flowchart)

If the quadratic has TWO TERMS, what step is next?

Accepted Answer

Ask: Is it a Difference of Two Squares?

Answer

Factor using Area Model and X, if possible.

Answer

The work is done.

Answer

Write the area as a sum.

Question 8

(From Notes: Factoring Quadratics Flowchart)

If the quadratic has THREE TERMS, what step is next?

Accepted Answer

Factor using Area Model and X, if possible.

Answer

Ask: Is it a Difference of Two Squares?

Answer

The work is done.

Answer

Write the area as a sum.

Question 9

(From Worksheet: Area Model and Diamond Problems)

Write the area as a product?

Accepted Answer

$$(x+5)(2x+3)$$

Answer

$$(2x-7)(6x-4)$$

Answer

$$(x-5)(2x+1)$$

Answer

$$2x^2-9x-5$$

Answer

$$2x^2+13x+15$$

Question 10

(From Worksheet: Area Model and Diamond Problems)

Write the area as a sum?

Accepted Answer

$$2x^2-9x-5$$

Answer

$$x^2-7x+10$$

Answer

$$(x+5)(2x+3)$$

Answer

$$(x-5)(2x+1)$$

Answer

$$2x^2+13x+15$$

Question 11

(From Worksheet: Factoring With Area Model)

What is the factored form of $$5x^2-6x-8$$ ?

Accepted Answer

$$\left(x-2\right)\left(5x+4\right)$$

Answer

$$\left(x+1\right)\left(x+5\right)$$

Answer

$$\left(x-7\right)\left(5x+3\right)$$

Answer

$$\left(x+6\right)\left(x+10\right)$$

Answer

$$\left(x-4\right)\left(x-6\right)$$

Question 12

(From Worksheet: Factoring With Area Model)

What is the factored form of $$x^2-12x+20$$ ?

Accepted Answer

$$\left(x-2\right)\left(x-10\right)$$

Answer

$$\left(x+1\right)\left(x+5\right)$$

Answer

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

Answer

$$\left(x+6\right)\left(x+10\right)$$

Answer

$$\left(x-4\right)\left(x-6\right)$$

Question 13

(From Worksheet: Factoring #2)

Factor using an area model and diamond: $$x^2-6x+8$$ .

Accepted Answer

$$\left(x-2\right)\left(x-4\right)$$

Answer

$$\left(x-1\right)\left(x+3\right)$$

Answer

$$\left(x-2\right)\left(x-7\right)$$

Answer

$$\left(x+4\right)\left(x+3\right)$$

Answer

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

Question 14

(From Worksheet: Factoring #2)

Factor using a difference of two squares: $$16x^2-25$$ .

Accepted Answer

$$\left(4x-5\right)\left(4x+5\right)$$

Answer

$$\left(4x+5\right)\left(4x+5\right)$$

Answer

$$2\left(x+5\right)$$

Answer

Not Factorable

Answer

$$\left(8x-5\right)\left(8x+5\right)$$

Question 15

(From Worksheet: Factoring More Quadratics)

Factor the following expression, if possible: $$6x^2+17x-14$$ .

Accepted Answer

$$\left(2x+7\right)\left(3x-2\right)$$

Answer

$$2\left(x+7\right)\left(x-1\right)$$

Answer

Not Factorable

Answer

$$\left(3x-1\right)\left(3x+1\right)$$

Answer

$$\left(x-7\right)^2$$

Question 16

(From Worksheet: Factoring More Quadratics)

Factor the following expression, if possible: $$2x^2+12x-14$$ .

Accepted Answer

$$2\left(x+7\right)\left(x-1\right)$$

Answer

$$\left(2x+7\right)\left(3x-2\right)$$

Answer

Not Factorable

Answer

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

Answer

$$\left(x-7\right)^2$$

Math 2 Notebook/ Assignment Check Unit 4A

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