Inequality Word Problems

An electronics store sells DVD players and cordless telephones. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of at least $225.00 from its sales of DVD players and cordless phones. Which inequality describes this situation?

• 75d + 30c < 225

• 75d + 30c ≤ 225

• 75d + 30c > 225

• 75d + 30c ≥ 225

Students in a ninth grade class measured their heights, h, in centimeters. The height of the shortest student was 155 cm, and the height of the tallest student was 190 com. Which inequality represents the range of heights?

• 155 < h < 190

• 155 ≤ h ≤ 190

• h ≥ 155 or h ≤ 190

• h > 155 or h < 190

Mrs. Smith wrote "Eight less than three times a number is greater than fifteen" on the board. If x represents the number, which inequality is a correct translation of this statement?

• 3x − 8 > 15

• 3x − 8 < 15

• 8 − 3x > 15

• 8 − 3x < 15

Tags

CCSS.7.EE.B.4B

Tamara has a cell phone that charges $0.07 per minute plus a monthly fee of $19. She budgets $29.50 per month for total cell phone expenses without taxes. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?

• 150

• 271

• 421

• 692

Tags

CCSS.7.EE.B.4B

A sign is posted in front of a roller coaster ride at Wadsworth County Fairgrounds; "All riders MUST be at least 48 inches tall". If h represents the height of a rider in inches, what is a correct translation of the statement of this sign?

• h < 48

• h > 48

• h ≤ 48

• h ≥ 48

Tags

CCSS.6.EE.B.8

An online music club had a one-time registration fee of $13.95 and charges $0.49 to buy each song. If Emma has $50.00 to join the club and buy songs, what is the maximum number of songs she can buy?

• 73

• 74

• 130

• 131

Tags

CCSS.7.EE.B.4B

Roger is having a picnic for 78 guests. He plans to serve each guest at least one hot dog. If each package, p, contains eight hot dogs, which inequality could be used to determine how many packages of hot dogs Roger will need to buy?

• p ≥ 78

• 8p ≥ 78

• 8 + p ≥ 78

• 78 - p ≥ 8

Tags

CCSS.6.EE.B.8

The ninth grade class at a local high school needs to purchase a park permit for $250 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, x, needed to cover the cost of the permit?

• 0.75x - (1.25)(200) ≥ 250

• 0.75x + (1.25)(200) ≥ 250

• (0.75)(200) - 1.25x ≥ 250

• (0.75)(200) + 1.25x ≥ 250

Tags

CCSS.7.EE.B.4B

Which value of x is in the solution set of the inequality -2x +5 > 17

• -8

• -6

• -4

• 12

Tags

CCSS.6.EE.B.5

Which value of x is in the solution set of the inequality -4x + 2 > 10

• -2

• 2

• 3

• -4

Tags

CCSS.6.EE.B.5