One Variable Word Problems Practice

Kathy works at a warehouse packing boxes. Her job is to place p items that each weigh 2 kg into a wooden box that weighs 1 kg. Kathy can lift a weight of up to 10 kg.

Which inequality represents the number of items Kathy can place in each box and still be able to lift the box?

• p + 2 ≥ 10

• p + 2 ≤ 10

• 2p + 1 ≥ 10

• 2p + 1 ≤ 10

Tags

7.10.A

Gabriel must practice piano at least 15 hours a week.  This week, he has practiced 6 hours so far.  Piano lessons are part of Gabriel’s practice time. Each lesson is 2 hours long. Which inequality can be used to find x, the minimum number of lessons Gabriel must attend this week?

• x + 6 ≤ 15

• 
  2x + 6 ≤ 15

• x + 6 ≥ 15

• 2x + 6 ≥ 15

Tags

7.10.A

Nathaniel runs in a charity race where $2.50 is donated for each kilometer he runs. Each runner of the race starts with a $10 donation regardless of the number of kilometers run. Nathaniel wishes to run enough kilometers to donate a minimum of $40 to charity. Write an inequality that Nathaniel can use to find the minimum number of kilometers that he must run so that he can donate a minimum of $40 to charity.

• 2.50x + 10 ≥ 40

• 2.50x + 10 ≤ 40

• 10x + 2.50 ≤ 40

• 10x + 2.50 ≤ 40

Tags

7.10.A

Eliana purchased some pencils for $0.45 each. She also purchased a ruler for $1.60. Eliana spent more than $1.75 on the ruler and pencils. Which inequality can be used to find p, the number of pencils that Eliana could have purchased?

• 0.45p + 1.6 < 1.75

• 0.45p − 1.6 > 1.75

• 0.45p + 1.6 > 1.75

• 0.45p − 1.6 < 1.75

Tags

7.10.A

A principal has given a class $75 to help pay for a field trip to a 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 total 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 ≤ 386

• 5p + 75 ≥ 386

• 75p + 5 ≥ 386

• 75p + 5 ≤ 386

Tags

7.10.A

An inequality in one-variable is shown. 28x + 52 ≥ 1,200 Which problem situation could represent the inequality?

• Debbie sold 52 boxes of fruit for $28 each plus a bonus, x, for selling the boxes quickly. Find x, the least amount of bonus Debbie will earn if Debbie sold the fruit quickly and earned at least $1,200.

• Katrina earned 52 dollars an hour plus a weekly bonus of $28 for providing technical support at a local Internet Service Provider. Find x, the amount of hours Katrina must work to earn no more than $1,200.

• Marissa has $52 in her savings account. She earns $28 for each lawn she mows. Find x, the least number of lawns she will need to mow in order to have a total of at least $1,200 in her savings account.

• Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $28. Find x, the amount Edward deposited in the bank last month if his total savings is now $1,200.

Tags

7.10.A

Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each. Which equation can be used to find m, the number of months it will take Cameron to pay off his car?

• 300m + 1200 = 4500

• 1200m + 300 = 4500

• 300m - 1200 = 4500

• 1200m - 300 = 4500

Tags

7.10.A

A student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and x miles each day from Tuesday through Friday.

 

Which inequality represents all possible values of x?

• 4m  + 8 < 30

• 4m + 8 > 30

• 4m - 8 > 30

• 4m - 8 < 30

Tags

7.10.A

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Which situation best represents the following equation? 25 + .05x = 50 + .01x

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $50 plus 5 cents per minute. Cellular Plus charges $25 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus $5 per minute. Cellular Plus charges $50 plus $1 per minute. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50. How many minutes can be used in one month to make the two companies charge the same amount?

• There are two cell phone companies that charge based on the number of minutes used each month, x. Cellular One charges $25 plus 5 cents per minute. Cellular Plus charges $50 plus 1 cent per minute. How many minutes can be used in one month to make the two companies charge the same amount?