Framing/writing linear inequalities in one variable

The maximum volume of water a bottle can hold is 1.2 liters. It currently holds 0.9 liters. Determine how much more water can go in the bottle.

Which inequality represents this word problem correctly?

• w - 0.9 ≤ 1.2

• w - 0.9 ≥ 1.2

• w + 0.9 ≤ 1.2

• w + 0.9 ≥ 1.2

Roy works more than 30 hours each week. He has worked 17 hours already. TYPE the inequality that shows the numbers of hours that Roy has left to work. DO NOT SOLVE. Use x as your variable.

(a)  

Your family needs 3 pounds of meat today, but you don’t want to buy any more than 6 pounds. Write an inequality representing the possible pounds of meat you could buy today.

• 3 < m < 6
• 3 ≤ m < 6
• 3 < m ≤ 6
• 3 ≤ m ≤ 6

Write the sentence as an inequality:

A number n is less than to -7 or greater than 12.

• n < -7 or n > 12

• n > -7 or n > 12

• -7 < n > 12

• -7 < n < 12

Stacy is younger than 20 years old.  Which inequality can be used to represent this situation?

• a < 20
• a > 20
• a ≤ 20
• a ≥ 20

Sean has less than $900 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?

• b > 900
• b ≤ 900
• b < 900
• b ≥ 900

You must be at least 17 years old to see an R rated movie. Which inequality shows the ages (a) of people allowed to watch?

• a > 17

• a > 17

• a < 17

• a < 17

Nine less than a number is less than or equal to ten .

• x-9 ≥10

• x-9 ≤10

• x-9 <10

• x-9 >10

Ben was paid less than $240 for working four days. He was paid $90 on his last day. He was paid the same unknown amount each of the other 3 days. How much was Ben paid each of the other 3 days?

Choose the TWO inequalities that could be used to represent this word problem.

• 90 + 4m < 240

• 4m + 90 < 240

• 90 + 3m < 240

• 3m + 90 < 240

• 90m + 3 < 240

The shoes cost no more than $100.  Which inequality can be used to represent this situation?

• s ≤ 100
• s < 100
• s ≥ 100
• s > 100