Solving Inequalities Review

Write this equation in words

 $3x+12=-2$  

• Twelve more than three times a number is -2

• Three more than twelve times a number is -2

• Three less than twelve times a number is -2

• Twelve less than three times a number is -2

Write an equation to represent the following description.

Fifteen more than five times a number is 7

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  $5x-15=7$
  

• $15x-5=7$

• $5x+15=7$

• $15x+5=7$

• $5\left(x+15\right)=7$

Determine the inequality symbol needed for the following situation:

The number of people signed up to go on the trip is at least 15.

• $\ne$

• $\ge$

• $\le$

• $<$

• $>$

Graph the solutions of the inequality:

 $x-2\ge16$  

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Solve the inequality below, then explain what he graph looks like. YOU WILL CHOOSE 2 ANSWERS.

 $x-20<-14$  

•  $x<6$  

•  $x<-34$  

• Open circle, shaded right

• Open circle, shaded left

• Closed circle, shaded left

Solve the inequality:

 $\frac{m}{-5}\ge3$  

•  $m\ge-15$  

•  $m\le-15$  

•  $m\ge-\frac{3}{5}$  

•  $m\le-\frac{3}{5}$  

Solve the inequality:

 $-7x<42$  

•  $x<49$  

•  $x>49$  

•  $x<-6$  

•  $x>-6$  

Write an inequality for the following situation:

4 times a number plus 16 is more than 24

• $4x+16\le24$

• $4x+16<24$

• $4x+16>24$

• $4x+16\ge24$

Solve the inequality, then choose the correct graph below:

 $4x+16>24$  

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Solve the inequality and explain what the graph would look like.  YOU WILL CHOOSE 2 ANSWERS. 

 $2\left(4y-5\right)<6$  

•  $y>2$  

• Open circle, shaded right 

•  $y<2$  

• Open circle, shaded left

• Closed circle, shaded left