Unit 3 review

Factor the following polynomial:

8x² + 2x − 15

• (8x + 3) ( x−5 )

• (2x + 3 )( 4x − 5)

• (2x + 5 )( 4x − 3)

• (2x − 1) ( x + 15 )

What are the factors of 3x² + 7x − 20?

• (3x − 5)(x + 4)

• (3x + 4)(x − 5)

• (3x − 4)(x + 5)

• (3x + 5)(x − 4)

How is the binomial 2x² − 50 written in the simplest

factored form?

• 2x(x − 50)

• (x − 5)(x + 5)

• 2(x − 5)(x + 5)

• 2(x − 5)(x − 5)

Tags

CCSS.HSA.APR.C.4

The square of a positive number is 12 more than

4 times the number. What is the integer?

Answer explanation

this is the written form of a quadratic function,

You will get two answers, which one is an integer

What is the positive root of the equation 3x²+ 5x = 8?

Tags

CCSS.8.EE.A.2

Which equation has −5 and 3 as its roots?

• x²− 2x + 15 = 0

• x²+ 2x + 15 = 0

• x² − 2x − 15 = 0

• x² + 2x − 15 = 0

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What are the values of x in the equation x² + 4x − 1 = 0?

• −4 ± √5

• −4 ± √3

• −2 ± √5

• −2 ± √3

Tags

CCSS.HSA-REI.B.4B

 $A=\pi\left(r+2\right)^2$   A circular pool of oil grew so that its radius increased by 2 feet. The formula shown can be used to determine the area of the circle.  Which equation is equivalent to the formula solved for r in terms of A? 

•  $r=\sqrt{\frac{A}{\pi}}+2$  

•  $r=\sqrt{\frac{A}{\pi}}-2$  

•  $r=\sqrt{\frac{\pi}{A}}+2$  

•  $r=\sqrt{\frac{\pi}{A}}-2$  

Tags

CCSS.HSA.REI.A.2

Which equation can be created from the relationship between the two quantities shown in the graph?

• y $=-\frac{1}{2}\left(x-3\right)^2+2$

• $y=-\left(x-3\right)^2+2$

• $y=-\frac{1}{2}\left(x+3\right)^2+2$

• $y=\left(x+3\right)^2+2$

Tags

CCSS.HSF-IF.C.7A

Consider the graph of the function f(x) in the picture,

What is the value of f(4)?

• 1

• 3

• 6

• 14

Tags

CCSS.HSF.IF.A.2