Inequalities from Word problems

Suzanne worked after school for 3 weeks and made the same amount of money each week. She also walked a friend’s dog and earned $6. How much was she paid each week if she earned over $30?

• 3x + 6 > 30

• 6x + 3 < 30

• 3x + 6 ≤ 30

• 6x + 3 ≥ 30

Suzanne worked for 6 weeks and made the same amount of money each week. She also emptied the dishwasher once and was paid $3. She made less than $30. How much did she get paid each week that she worked?

• 3x + 6 > 30

• 6x + 3 < 30

• 6x + 3 ≥ 30

• 3x + 6 ≤ 30

Suzanne worked after school for 3 weeks and made the same amount of money each week. She also mowed the yard once and was paid $6. She made $30 or less. How much did she get paid each week that she worked?

• 3x + 6 > 30

• 6x + 3 < 30

• 3x + 6 ≤ 30

• 6x + 3 ≥ 30

Suzanne mowed the yard each week and earned $6 each time she mowed. She also got $3 for emptying the dishwasher. How many times did she mow the yard if she earned $30 or more?

• 3x + 6 > 30

• 6x + 3 < 30

• 6x + 3 ≥ 30

• 3x + 6 ≤ 30

One day Zane ran 18 miles. Then rode his bike at 10 miles per hour. The total distance that he ran and biked was less than 82 miles. What is the maximum number of hours that he could have ridden his bike?

• 10x + 18 ≤ 82

• 18x + 10 ≥ 82

• 10x + 18 < 82

• 18x + 10 < 82

One day Zane ran 10 miles. Then he rode his bike at 18 miles per hour. The total distance that he ran and biked was less than 82 miles. What is the maximum number of hours that Zane could have ridden his bike?

• 10x + 18 ≤ 82

• 18x + 10 ≥ 82

• 18x + 10 < 82

• 10x + 18 < 82

Zane rode his bike and ran 82 miles or more in one day. He ran for 10 miles. Then rest of the time he rode his bike 18 miles per hour. What is the least amount of time that Zane rode his bike?

• 10x + 18 ≤ 82

• 18x + 10 ≥ 82

• 18x + 10 < 82

• 10x + 18 < 82

One day Zane ran 18 miles. Then he rode his bike at 10 miles per hour. The total distance that he ran and biked was at most 82 miles. What is the maximum number of hours than Zane rode?

• 10x + 18 ≤ 82

• 18x + 10 ≥ 82

• 18x + 10 < 82

• 10x + 18 < 82

Robbie spent $4 per bag of potatoes and $5 for a rotisserie chicken. Altogether he spent more than $44. What is the least number of bags of potatoes he could have bought?

• 5 + 4x ≤ 44

• 5 + 4x > 44

• 4 + 5x < 44

• 4 + 5x ≥ 44

Robbie bought bags of chips for $4 for each bag. He also bought a 12-pack of soda for $5. He spent at least $44. What is the least number of bags of chips he could have bought?

• 4 + 5x < 44

• 4 + 5x ≥ 44

• 5 + 4x ≤ 44

• 5 + 4x ≥ 44