Two Step and Distributive Property Inequalities

Solve the following:  $2x+1<7$  

•  $x<3$  

•  $x>3$  

•  $x<4$  

•  $x>4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the following:  $7y-1\le48$   

•  $y\ge7$  

•  $y\ \ge6\ \frac{6}{7}$  

•  $y\le6\ \frac{6}{7}$  

•  $y\le7$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following:  $8x\ -\ 14>18$  

•  $y>\ -4$  

•  $y<4$ 

•  $y>4$  

•  $y<-4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following:  $-2\left(z-4\right)\ge18$  

•  $z>-5$  

•  $z\le-5$  
  

•  $z\ge-5$  

•  $z<-5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the following:  $12\left(x+9\right)\ge-132$  

•  $x\ge-20$  

•  $x\ge20$  
  

•  $x\ge-11$  

•  $x\le-144$  

Tags

CCSS.HSA.REI.B.3

Solve the following:  $-4\left(3+x\right)>-32$  

•  $x>11$  

•  $x<5$  
  

•  $x\ge-11$  

•  $x>-5$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following:  $1\ +\ \frac{x}{7}\ >\ 4$  

•  $x\ <\ 21$  

•  $x\ >\ 21$  
  

•  $x\ >\ \frac{3}{7}$  

•  $x\ <\ \frac{3}{7}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve the following:  $-4x\ -\ 5\ <\ -25$  

•  $x\ >\ -7\ \frac{2}{7}$  

•  $x\ <\ -5$  
  

•  $x\ <\ 7\ \frac{2}{7}$  

•  $x\ >\ -5$  

Tags

CCSS.HSA.REI.B.3

Solve the following:  $\frac{x}{-6}-8\le-12$  

•  $x\le-24$  

•  $x\le-\frac{2}{3}$  
  

•  $x\ge24$  

•  $x\ge\frac{2}{3}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following:  $7x-1\le-169$  

•  $x\ge24$  

•  $x\le24$  
  

•  $x\le-24$  

•  $x\le-168$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3