Covid ACT Prep #1

 $\left|3-2\right|-\ \left|1-4\right|$  

• -4

• -2

• 2

• 4

• 10

 $\left|-3\right|+\left|3\right|-2\left|3\right|$  

• -6

• 0

• 6

• 12

• 24

Which of the following expresses all and only the values of x that satisfy  $\left|2x\ +\ 3\right|<3$  ?

•  $-3<x<0$  

•  $0<x<3$  

•  $x>0$  

•  $x<-3$  

•  $x>-3$  

What is the solution set for  $\left|-x\right|=\ -x$  ?

• All  $x\le0$  

• All $x\ge0$  

• All real numbers 

• Only x = 0 

• Only x = 1

Four all pairs of real numbers, a and b, which of the following expressions are equal:
I.)  $\left|a\ +\ b\right|$  
II.)  $\left|a\right|\ +\ \left|b\right|$  
III.)  $\left|-a\ -\ b\right|$  

• I and II only

• I and III only 

• II and III only

• I, II, III 

• No pair of the expressions will always be equal

What is the value of  $\left|-3\right|-\ \left|7-16\right|$ ? 

• -12

• -6

• 6

• 12

• 26

 $\left|\left(7\left(-3\right)\right)+2\left(4\right)\right|=?$  

• -28

• -13

• 13

• 28

• 29

If  $x>\left|y\right|$ , which of the following is the solution statement of x when y = -4? 

• x is any real number

•  $x>4$  

•  $x<4$  

•  $-4<x<4$  

•  $x>4\ or\ x<-4$  

For real numbers a and b when is the equation $\left|a+b\right|=\left|a-b\right|$  true? 

• always

• only when a = b 

• only when a = 0 and b= 0

• only when a = 0 or b = 0

• never

If a = 10, then which of the following represents 8,003?

• 
  

  $8a\ +\ 3$
  

• $80a\ +\ 3$

• $8a^2+\ 3$

• $8a^3+\ 3$

• $8a^4+4$