Math 3 Review

Reese is solving the equation  $\log_{2x}291=8$  . Which exponential equation can she use to solve the problem?

•  $2x^{291}=8$  

•  $8^{291}=2x$  

•  $291^8=2x$  

•  $2x^8=291$  

Tags

CCSS.HSF.BF.B.5

 $3^x-5=27$  

Solve for x. Round your answer to the nearest thousandth.

• 2.813

• 3.155

• 2.814

• 3.154

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

 $\frac{a^2-11a+18}{72+a-a^2}$  

Simplify.

•  $\frac{-8-a}{a-2}$  
  

•  $\frac{4a}{5}$  

•  $\frac{-a+2}{8+a}$  
  

•  $\frac{\left(a-2\right)}{2}$  D

Tags

CCSS.HSA.APR.D.6

If $\left(2x-3y\right)^2=ax^2+bxy+cy^2$  , what are the values of a, b, and c?

• a=4, b=0, c=9

• a=4, b=-12, c=9

• a=4, b=-6, c=9

• a=9, b=12, c=4

Tags

CCSS.HSA.APR.C.4

What is the inverse of $y=\frac{\left(2x+4\right)}{8}$  

• (-2x+4)/8

• (8x-4)/2

• (2x-4)/8

• (8x+4)/2

Tags

CCSS.HSF-BF.B.4A

What is the range of the function: f(x) = -|x + 3| + 2

• y ≤ 2

• y ≥ 2

• y ≤ -3

• y ≥ -3

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Describe how the function $y=2^x$  is transformed to make  $y=2^{\left(x-5\right)}+3$  

• Translated left 5 and down 3

• Translated right 5 and down 3

• Translated left 5 and up 3

• Translated right 5 and up 3

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

You start on the unit circle at (0, -1) and move 300° counterclockwise. Which angle (in degrees) will you end up on the unit circle?

• 30

• 330

• 210

• 120

Tags

CCSS.HSF.TF.A.2

Which function does NOT have the set of all real numbers as its domain?

• $f\left(x\right)=2^x+3$

• $f\left(x\right)=\frac{\left(x+1\right)}{x-5}$

• $f\left(x\right)=\left|3x+4\right|$

• $f\left(x\right)=-\sin\left(x\right)+1$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Which interval is decreasing? (2 answers)

• 0 < x < 2

• x > -2

• 4 < x < 6

• x > 8

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10