Quiz 1: P2-P7

​Quiz 1: P2-P7 Review

Multiple Choice

Simplify. #6

(x³ ⋅ y⁴ ⋅ z)³ ⋅ (x⁵ ⋅ y ⋅ z³)²

• x¹⁹y¹²z⁹
• x¹⁹ y¹⁴z⁹
• x¹³y¹⁰z⁹
• x²³y⁴²z¹¹

Multiple Choice

√128 #8

• 64√2
• 16
• 2√8
• 8√2

Multiple Choice

Simplify completely. #10

Multiple Choice

Simplify: $$\frac{10\sqrt{30}}{\sqrt{15}}$$  #13

• $$\frac{2\sqrt{30}}{3}$$  

• $$10\sqrt{2}$$  

• 20

• $$2\sqrt{10}$$  

Multiple Choice

Simplify and then subtract:

3√2 - 3√18 #15

• -4√8

• 4√9-6√3

• 5√12

• -6√2

Multiple Choice

Multiply the following together:

(2x + 3)(x² + 4x + 1) #17

• 2x³ + 8x² +2x

• 3x² + 12x +3

• 2x³ +11x² +14x +3

• 2x³ + 12x +3

Multiple Choice

If $$P\left(x\right)=5x^4+2x^3-x+7$$   and $$Q\left(x\right)=2x^4+x^3-3x^2+1$$  ,

find $$P\left(x\right)\ -\ Q\left(x\right).$$  #20

• 12

• $$3x^4+x^3-3x^2+x+6$$  

• $$3x^4+x^3+3x^2-x+6$$  

• $$3x^4+x^3+3x^2-x-6$$  

Multiple Choice

The dimensions of a rectangular prism are represented by the polynomials $$2x+1$$ , $$x+3$$ , and $$4x-2$$ . Which polynomial represents the volume of the prism? #21

• $$8x^3+24x^2-2x-6$$  

• $$8x^3+30x^2+2x-6$$  

• $$8x^3-26x^2-2x-6$$  

• $$8x^3-26x^2+2x-6$$  

Explanation Slide...

​

Multiple Choice

Factor: $$5x^3-15x^2+4x\ -12$$  #28

• $$5x\left(x-3\right)$$  

• $$\left(5x^2+4\right)\left(x-3\right)$$  

• $$5\left(x^3-3x^2\right)+4\left(x-3\right)$$  

• $$5x\left(x^2-3x\right)+2\left(2x-6\right)$$  

Multiple Choice

Factor k² - 2k - 24 #33

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Multiple Choice

Multiply the expressions. $$\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}$$  #50

• $$n-1$$  

• $$\frac{2\left(n-1\right)}{n+3}$$  

• $$2\left(n-1\right)$$  

• $$1$$  

Multiple Choice

Divide #52

$$\frac{x^2+10x+21}{x^2-9}\div\frac{x+7}{x-7}$$  

• $$\frac{x-10}{x-3}$$  

• $$\frac{10x+7}{3}$$  

• $$\frac{x+3}{x-7}$$  

• $$\frac{x-7}{x-3}$$  

Multiple Choice

Solve the following quadratic equation: #58 $$x^2-6x-7=0$$  

• $$x=7\ \ \ \&\ \ \ x=-1$$  

• $$x=1\ \ \ \&\ \ \ x=-7$$  

• $$x=0$$  

• $$x=\frac{-7}{5}$$