Writing Inequalities from Word Problems

Writing Inequalities from Word Problems

Are you taking this as a grade?

Duh...

Multiple Choice

Match the inequality clue word with the correct inequality symbol. 

IS GREATER THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.

IS LESS THAN

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.

IS AT MOST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

Match the inequality clue word with the correct inequality symbol.

IS AT LEAST

• $$\le$$

• $$\ge$$

• $$<$$

• $$>$$

Multiple Choice

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it will take for Casey's dog to reach a maximum of 70 lbs?

• $$106-4x\le70$$

• $$70+4x\le106$$

• $$106-4x\ge70$$

• $$106-4x<70$$

Multiple Choice

Daniel can spend no more than $40 at the fair. If admission to the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• $$10+1.50x\ge40$$

• $$1.50x+10\le40$$

• $$1.50x+10<40$$

• $$10x+1.50<40$$

Multiple Choice

 A principal has given a class $75 to help pay for a field trip to the zoo. The students in the class are selling pies for $5 each to earn the rest of the money they need. The field trip will cost a minimum of $386. Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip? 

• $$5p+75\le386$$

• $$5p+75\ge386$$

• $$75p+5\ge386$$

• $$75p+5\le386$$

Multiple Choice

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• $$50+3.5x<71$$

• $$71-3.5x<50$$

• $$71-3.5x\le50$$

• $$71+3.5x<50$$

Multiple Choice

The members of YJH cheerleaders need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• $$300x+10\ge2000$$

• $$10x+300\le2000$$

• $$10x+300>2000$$

• $$300+10x\ge2000$$

Multiple Choice

Alexa has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Alexa can buy.

• $$60\ge22x-8$$

• $$22-8x\ge60$$

• $$22x+8\le60$$

• $$22+8x\le60$$