SDC PreCalculus - Review

Which of the following is NOT a Pythagorean identity?

• $\tan^2x+1=\sec^2x$

• $\cos2x\ =\ \cos^2x-\sin^2x$

• $\sin^2x\ +\ \cos^2x=1$

• $1+\cot^2x\ =\ \csc^2x$

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the exact value of the expression: tan^-1(sin π)

• 1

• -1

• 0

• undefined

Tags

CCSS.HSF.TF.B.7

Assuming the scale is 1, where is f(x) > 0?

• $[-4,-1]\cup[2,\infty)$

• $(-4,-1)\cup(2,\infty)$

• $(-\infty,-4]\cup[-1,2]$

• $(-\infty,-4)\cup(-1,2)$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

What is the oblique asymptote for the function?

• $y=x-1$

• $y=x-5$

• $y=x-5+\frac{12}{x+2}$

• $y=\frac{12}{x+2}$

Tags

CCSS.HSF-IF.C.7D

Given

 $\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x+3\right)}$  

For which values of x is the expression undefined?

•  $x=-1,\ x=7$  

•  $x=-1,\ x=4,\ x=7,\ x=-3$  

• None

•  $x=4\ ,\ x=-3$  

Tags

CCSS.HSF-IF.C.7D

Simplify.

• $\frac{1}{\left(n-7\right)}$

• $\left(n-7\right)$

• $\frac{\left(n-6\right)}{\left(n-7\right)}$

• $\left(n-6\right)$

Tags

CCSS.HSA.APR.D.6

Expand the following:  $\log\left(j^4k^7\right)$  

•  $\log\left(4j\right)+\log\left(7k\right)$  

•  $11\log\left(j+k\right)$  

•  $28\log\left(jk\right)$  

•  $4\log\left(j\right)+7\log\left(k\right)$  

Tags

CCSS.HSF.BF.B.5

Simplify the following:  $\log_5\left(3\right)+\log_5\left(r\right)-\log_5\left(w\right)$  

•  $\log_5\left(3rw\right)$  

•  $\log_5\left(3+r-w\right)$  

•  $\log_5\left(\frac{3r}{w}\right)$  

•  $\frac{\log_5\left(3r\right)}{\log_5\left(w\right)}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\log_{9000}1=$  ___________

Tags

CCSS.HSF.BF.B.5

What are the coordinates of the center and the radius of the circle with equation (x - 4)² + (y - 3)² = 25 ?

• Center (4, 3)

  Radius = 5 units

• Center (4, 3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 25 units

• Center (-4, -3)

  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1