Framing/Writing Linear Inequalities in One Variable

Which inequality represents six less than three times a number is at least fifteen?

• 3n - 6 < 15

• 3n - 6 > 15

• 3n - 6 < 15

• 3n - 6 > 15

Write the following sentence as an inequality:

Seven is less than or equal to the difference of a number q and 6. 

Define the variable, write the inequality, solve, and label your answer.

Gabe bought two video games that cost $95 or less. One game cost $43. What did Gabe pay for the second video game?

• c for cost of second video game

  c + 43 ≤ 95

  c ≤ 52

  The cost for the second video game was $52 or less.

• c for cost of second video game

  c - 43 ≤ 95

  c ≤ 138

  The cost for the second video game was $138 or less.

• c for cost of second video game

  43 + c < 95

  c < 52

  The cost for the second video game was less than $52.

Mrs. Daise is less than 100 years old. Which inequality would we use to show this? (use "a" for age)

• a > 100

• a < 100

• a > 100

• a < 100

The temperature for the day starts at 37 degrees and rises to at least 60 degrees. Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

• 37 + x > 60

• 37 + x ≥ 60

• 37 + x < 60

• 37 + x ≤ 60

At Disney World, you must be between 28 and 48 inches tall to enter Dr. Seuss land. Write an inequality to represent the height requirement.

• 28 > h < 48

• 28 < h > 48

• 28 ≥ h < 48

• 28 ≤ h ≤ 48

Small moving boxes can hold no more than 35 lb. Which inequality shows the weights, w, that a small moving box can hold?

Tags

CCSS.MATH.CONTENT.6.EE.B.8

You must be at least 60 inches to ride the roller coaster. Which inequality shows the heights (h) of people able to ride the coaster?

• h > 60

• h < 60

• h > 60

• h < 60

Three friends earned more than $200 washing cars. They paid their parents $28 for supplies and divided the rest of money equally. Write an inequality to find possible amounts each friend earned. Identify what your variable represents.

• 28a + 3 > 200

• 3a + 28 > 200

• 28 + 3a < 200

• 200 + 3 < 28a

You need at least $130 to buy supplies for baseball. You already have $45 saved. Which inequality represents the remaining money you will need to earn?