Linear inequalities (one variable)

There are fewer than 30 days left in February

If x represents the number of days left,

which inequality represents this situation?

• x > 30

• x < 30

• x ≥ 30

• x ≤ 30

A teacher bought 99 pencils for his students. After one

week, less than 66 pencils remained. Write an

inequality to determine all possible values of p, the

number of pencils that were used.

• 99 + p < 66
• 99 - p > 66
• 99 / p < 66
• 99 - p < 66

If Marks Age (a) is at least 18. What is the inequalities

• a > 18
• a = 18
• a >= 18
• a < 18

The temperature dropped 11° in the last hour. The temperature is currently below 50°F. Which of the following could be used to determine the temperature, t, one hour ago?

• t – 11 < 50

• t – 11 ≤ 50

• t – 11 > 50

• t – 11 = 50

Amara will run more than 26 miles this week. So far, she has run 17 miles. What are the possible numbers of additional miles she will run?

Write an inequality to determine the number of additional miles she will run. Use t for the number of additional miles.

Chloe currently has $355 in her checking account. She has to keep at least $75 in her checking account at all times. Write an inequality to show much can she spend on gas and groceries and stay above her limit?

To make the playoffs, Jim's team must win more than 5 games this season.

If they have already won 3 games, which inequality represents the remaining number of games (g) they can win to make the playoffs?

• g + 3 < 5

• g + 3 > 5

• g - 3 < 5

• g - 3 > 5

Winston needs AT LEAST 80 signatures before he can run for class president. He has 23 signatures already. HE AND TWO of his friends plan to get the remaining signatures during lunch.

If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?

• $2x+23\ge80$

• $2x+23\le80$

• $3x+23\le80$

• $3x+23\ge80$

Marcos wants to spend at least $80 on new shoes. He has already saved $25. How much more does he need to save?
Which inequality could be used to solve this problem? 

• X -25 > 80
• X + 25 > 80
• X + 25 ≤ 80
• X + 25 ≥ 80

To vote you must be at least 18 years old.  Which inequality can be used to represent this situation?

• a ≥ 18
• a < 18
• a > 18
• a ≤ 18