Unit 3 Review

For the following expression, identify the coefficient:

2x+7

• 2

• x

• 7

• What is a coefficient?

Multiply the following binomials: (x+4)(x+6)

• 
  

  $x^2+10x$

• $x^2+24$

• $10x$

• $x^2+10x+24$

You are given the following problem:

 $\left(2x-3\right)^2$  
What strategies can you use to correctly multiply the binomials?  Select all that apply.

• Conjugate Rule

• FOIL
  

• Double Distributive Property

• Second squaring rule

Simplify the following:

 $3-2\left(x+6\right)+2x-3$  

• -12

• 2x-12

• No

• 3x+3

Simplify the following:

 $3-\left(2x-3\right)$  

• -2x

• 6-2x

• -2x+6

• x-3

Multiply and Simplify:

 $\left(x+7\right)\left(x-7\right)$  

•  $x^2-49$  

•  $x^2+49$  

•  $x^2+14x-49$  

•  $x^2-14x+49$  

Multiply the following and simplify:

 $\left(2x-4\right)\left(3x+9\right)$  

•  $6x^2-36$  

•  $6x^2+6x+36$  

•  $6x^2+36$  

•  $6x^2+6x-36$  

Which rule could we use to multiply the following binomial:

 $\left(8x-7\right)\left(8x+7\right)$  

• Second Squaring Rule

• Pythagorean Theorem

• The rule of life

• The conjugate rule

• First Squaring Rule

Simplify:

• 10

• 3

• $x^{2\ }+10$

• 0

Simplify:

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

• x+1

• x-1

• -2

• 0