Inequalities Ms. Towne

Which mathematical inequality represents the following statement?

Eight times a number is greater than 6 less than 3 times the same number.

• $8x<3x-6$

• $8x\ <6\ -3x$

• $8x>6-3x$

• $8x\ >3x-6$

If  $7x+2\le-12$ , what is the solution for x?

•  $x\ge-14$  

•  $x\le-14$  

•  $x\le-2$  

•  $x\ge-2$  

What is the smallest whole number that represents m in the inequality below?
 $64\ +m>130$  

• 64

• 65

• 66

• 67

 $\frac{x}{9}<4$  is equivalent to...

•  $x>\frac{4}{9}$  

•  $x<36$  

•  $x>36$  

•  $x<\frac{4}{9}$  

Which number line represents the solution of  $m+3<10$  ?

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What are all the values of x that make the inequality  $5\ -\ 6x\ <41$  true?

•  $x>-6$  

•  $x>36$  

•  $x<36$  

•  $x<-6$  

The members of a tennis team have a goal of raising at least $700 for new equipment. They have already raised $455. The team members plan to raise more money by washing cars. They will charge $10 for each car they wash.

Let c represent the number of cars the team members will wash. Which of the following could be used to find the LEAST number of cars they must wash to reach their goal?

• $10c+455<700$

• $10c-455<700$

• $10c-455>700$

• $10c+455>700$

A building code allows a maximum of 200 people in a meeting room. There is one large table in the room, along with some small tables. When filled, the large table seats 20 people, and the small tables each seat 10 people. Which of the following can be used to find t, the greatest number of small tables that can be filled when the large table is also filled?

• $20t\ +10>200$

• $10t\ +20>200$

• $20t+10<200$

• $10t\ +20<200$

Lynn is planning an event for which the total cost cannot exceed $600. Lynn plans to spend $230 on food and to hire a clown at the rate of $45 per hour. Which inequality correctly shows Lynn's spending in terms of h, the number of hours that the clown can be at the party?

• $45\left(h+230\right)\le600$

• $45h+230\le600$

• $45\left(h+230\right)\ge600$

• $45h+230\ge600$

If Andrea does 5 more hours of community service, she will have at least the 12 hours of service required by her school. This can be represented by the inequality below, where x stands for the number of hours of community service that Andrea has already done.
 $x+5\ge12$  
Which number line best represents all values of x that satisfy this inequality?

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