Solving Inequalities

The hole for a birdfeeder post is 3 feet deep. The top of the post needs to be at least 5 feet above the ground.

Which of the following inequalities would correctly represent the required length of the post?

• $x\ \ge\ 5$
  

• $x\le\ 5$

• $x\ -\ 3\ \ge\ 5$
  

• $x\ +\ 3\le5$

You can spend no more than $35 on a shopping trip. You want to buy a shirt that costs $14. If you buy the shirt, how much money would you have left?

Which inequality would help you solve this problem correctly?

• $x\ +\ 14\ge35$

• $x\ -\ 14\ \ge35$

• $x\ +\ 14\ \le35$

• $x\ -\ 14\ \le35$

Each gumball in a gumball machine costs $0.25. You can spend no more than $2.50 in total on gumballs.

Which inequality would represent how many gumballs you could buy?

• $0.25x\ >\ 2.50$

• $0.25x\ <\ 2.50$

• $0.25x\ \ge\ 2.50$

• $0.25x\ \le\ 2.50$

Tags

CCSS.6.EE.B.8

You have $30 to buy baseball cards. Each pack of cards costs $5. Select all inequalities that represents the number of packs of baseball cards you can buy and still have at least $10 left.

•  $30+\ 5x>10$  

•  $30\ -\ 5x<-10$  

•  $30-5x\ge10$  

•  $30\ -\ 5x\le10$  

•  $5x\le20$  

Tags

CCSS.7.EE.B.4B

You borrow $200 from a friend to help pay for a new laptop computer. You pay your friend back $12 per week. Write and solve an inequality to find when you will owe your friend less than $56.

Which one of the following inequalities would be the correct answer?

• x >12

• x<12

• x>21

• x<21

Orange Theory Fitness charges $70 per month and a $10 membership fee. All Sport charges $55 per month and a $20 membership fee. Which inequality best represents when the charges from Orange Theory are less than charges from All Sport?

• 10d + 70 < 20d + 55

• 10 + 70d < 20 + 55d

• 80d > 75

• 10 + 70d > 20 + 55d

Tags

CCSS.7.EE.B.4B

Renting games online from Netwii costs $3.33 per game with no monthly fee. Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.

Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33x + 10 < 2x

• 3.33x < 2x + 10

• 3.33x + 10 > 2x

• 3.33x > 2x + 10

Tags

CCSS.7.EE.B.4B

Mona is ordering cups for her school. Company A charges $3.50 for each cup and a one-time starter fee of $14. Company B charges $0.50 for each trophy and a one-time starter fee of $22.

Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

• 3.5x + 14 < 0.5x + 22

• 3.5 + 14x < 0.5 + 22x

• 3.5x + 14 > 0.5x + 22

• 3.5 + 14x > 0.5 + 22x

Tags

CCSS.7.EE.B.4B

The amount food you feed your dog each week is not to exceed 4 lbs. If you know that each bowl has a serving of 0.25 lbs. What inequality represents how many bowls you should feed your dog in a week?

• $0.25x\le4$
  

• $0.25x\ge4$

• $4x\le0.25$

• $4x\ge0.25$