Understanding Equations and Expressions_4/21/2021

Which expression is equivalent to  $3x^2+7x\ -\ \left(x+4\right)^2-9$  

•  $2x^2+7x\ -25$  

•  $2x^2+7x+7$  

•  $2x^2+6x+7$  

•  $2x^2-x-25$  

Tags

CCSS.6.EE.A.3

Select the answer that correctly identifies the only solution or the best description of how many solutions there are for the equation:

 $-7x-12=-7x+3\left(-4-x\right)$  

• x = -4 

• x = 0

• Infinite Solutions

• No Solutions

Tags

CCSS.8.EE.C.7A

Select the answer that correctly identifies the only solution or the best description of how many solutions there are for the equation:

 $4\left(2x+3\right)=5x\ +\ 3x\ -\ 6$  

• x = -4 

• x = 0

• Infinite Solutions

• No Solutions

Select the answer that correctly identifies the only solution or the best description of how many solutions there are for the equation:

 $-3+\frac{1}{2}\left(-6x-4\right)=-\frac{1}{4}\left(8x+4\right)$  

• x = -4 

• x = 0

• Infinite Solutions

• No Solutions

Tags

CCSS.8.EE.C.7A

Select the answer that correctly identifies the only solution or the best description of how many solutions there are for the equation:

 $3\left(x-7\right)+12=\frac{1}{4}\left(12x-8\right)-7$  

• x = -4 

• x = 0

• Infinite Solutions

• No Solutions

Tags

CCSS.8.EE.C.7A

Which expression is equivalent to
 $\left(x-6\right)\left(2x^2-3x+4\right)$  

•  $2x^2-2x-2$  

•  $2x^2-2x+4$  

•  $2x^3-3x^2+4x-6$  

•  $2x^3-15x^2+22x-24$  

Tags

CCSS.HSA.APR.A.1

Given  $f\left(x\right)=x^2+1$  and  $g\left(x\right)=\left|x+3\right|$  , which value of x is a solution to the equation  $f\left(x\right)\ =g\left(x\right)$  ?

• x = -3

• x = -2

• x = 1

• x = 2

Tags

CCSS.HSA.REI.A.2

which expressions are equivalent to $4x^2-25$  ?

Select two answer choices. 

•  $\left(2x-5\right)^2$  

•  $\left(2x\ +5\right)^2$  

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

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

•  $\left(2x-5\right)\left(2x-5\right)$  

Tags

CCSS.HSA.APR.C.4

Given $f\left(x\right)=x^2+2x+1$  and  $g\left(x\right)\ =\ 2x\ +\ 3$  , which value below represents a solution to the equation  $f\left(x\right)\ =\ g\left(x\right)$  .

• x = 0

• x = 1.5

• x = 1.414

• x = 5.8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Given $f\left(x\right)=x^2-10$  and  $g\left(x\right)\ =\ x+8$  , which value below represents a negative solution to the equation  $f\left(x\right)\ =\ g\left(x\right)$  . Round to the nearest tenth. 

Tags

CCSS.HSA.REI.A.2