Equation and Inequality Expression Word Problems

James weighs 220 pounds and gains 2 pounds per month. Joey weighs 176 pounds and gains 4 pounds per month. After how many months will James weigh less than Joey?

• x < 22

• x > 22

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. Which inequality below can be used to determine after how many hours Sophie's dish will have less water than Max's dish?

• 34 - 4x > 50 - 6x

• 34 - 4x < 50 - 6x

Max’s dog dish contains 34 ounces of water, and Max drinks 4 ounces per hour. Sophie’s dog dish contains 50 ounces of water and she drinks 6 ounces per hour. In how many hours will Sophie’s dish have less water than Max’s?

• x > 8

• x < 8

A pink roll of tickets has 1,000 tickets on it, and 50 are sold each hour. A blue roll has 595 tickets, and 5 are sold each hour. Which inequality below could be used to determine when the blue roll will have more tickets than the pink roll?

• 1000 - 50x < 595 + 5x

• 1000 - 50x > 595 - 5x

• 1000 - 50x < 595 - 5x

• 1000x - 50 < 595 + 5x

A pink roll of tickets has 1,000 tickets on it, and 50 are sold each hour. A blue roll has 595 tickets, and 5 are sold each hour. When will the blue roll have more tickets than the pink roll?

• x > 9

• x < 9

Which inequality represents:3 less than twice a number is at least the number plus 5

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. Which inequality below can be used to determine how many cars she has to wash to have enough money?

• 14x+30 ≥ 240

• 14x+30 ≤ 240

• 30x+14 ≥ 240

• 30x+14 ≤ 240

Which expression represents the value of x in the equation:
dx + e = f

• x = (f + e)/d

• x = (f - e)/d

• x = d/(e - f)

• x = d/(e + f)

Which inequality represents: 4 more than a number is at most twice the number

Select all that mean this symbol.

• at least

• at most

• less than or equal to

• greater than or equal to