Inequalities Review (U2 EOU Review)

 $\frac{x+4}{8}>\frac{x}{5}+2$  

Which value of x is a solution to the inequality above?

•  $x=-10$  

•  $x=10$  

•  $x=-22$  

•  $x=22$  

The gardening club is growing plants. The club has 600 square feet of growing space. Corn requires 12 square feet of growing space & squash requires 5 square feet of growing space. Students want to plant some of each and have at least 120 plants.

Select all the equations/inequalities that could represent this situation.

•  $c>0$  

•  $s<0$  

•  $c+s=600$  

•  $c+s\ge120$  

•  $12c+5s\le600$  

 $2x-4y\le8$  

 $y>-\frac{3}{4}x+2$  

Which graph represents the solution to this system of inequalities?

• 
• 
• 
• 

A barber charges $18 for adult haircuts and $12 for child haircuts. She wants to earn at least $540 and cut a maximum of 55 haircuts this week. The graph represents these constraints.

Which point could represent the number of adult and child haircuts that meet his goals?

• (20, 40)

• (10, 20)

• (20, 20)

• (40, 20)

 $8x>85+2.25x$  

An artist is selling earrings at an art fair. It costs $85 to rent a booth. The cost of materials for each pair of earrings is $2.25. She is selling earrings for $8 each.

The inequality represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 18 pair of earrings?

• Yes
  

• No

 $8x>85+2.25x$  

An artist is selling earrings at an art fair. It costs $85 to rent a booth. The cost of materials for each pair of earrings is $2.25. She is selling earrings for $8 each.

The inequality represents the situation in which the artist makes a profit. Which inequality represents the number of she must sell to make a profit?

• $x\ge15$

• $x\le15$

• $x\ge12$

• $x\le12$

A lawn care business charges $22 per hour to mow & $18 to garden. Because Will is in school, he is only allowed to work at most 25 hours per week. His goal is to make at least $325 per week.

Which system of inequalities model this situation?

• $22m+18g\ge325$ ; $m+g\le25$

• $22m+18g\le325$ ; $m+g\le25$

• $22m+18g\ge325$ ; $m+g\ge25$

• $22m+18g\le325$ ; $m+g\ge25$

When graphing an inequality, what does a solid line mean?

• The points on the line are included in the solution set.

• The points on the line are not included in the solution set.

True or False: The unshaded region of the graph (of an inequality) is the solution region.

• True

• False

How prepared do you feel for your test tomorrow?

• Very prepared

• Somewhat prepared

• Very little prepared

• Not prepared at all