Inequality Word Problems

A new mountain bike will cost p dollars. Maddie has saved $375 for a new mountain

bike. Her grandmother will give her $215 to help pay for the new bike. Which inequality can be used to find the possible price values, p, of new mountain bikes that Maddie can afford?

• p + 215 ≤ 375

• p − 215 > 375

• p − 215 ≤ 375

• p + 215 ≥ 375

Tags

CCSS.7.EE.B.4B

Guillermo has 6 days left to finish his summer reading project but still needs to select a book to read. He can read a maximum of 22 pages in 1 day. Which inequality can Guillermo use to help him select a book with x pages so that he can complete the book within 6 or fewer days? (algebraic inequality is what than 22?)

(a)   (b)  

• x/6
• 6

• 6/x

• >
• 6x
• <

Tags

CCSS.6.EE.B.8

Maria has 15 dollars that she can spend at the movies. A movie ticket costs 7 dollars. Which inequality represents the greatest amount of money, f, Maria can spend on food and drinks?

• f + 7 > 15

• f + 7 ≤ 15

• f + 7 < 15

• f + 7 ≥ 15

Tags

CCSS.7.EE.B.4B

An inequality is shown below. x - 3.2 ≤ 4 Which number line best represents the solution to the inequality?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

The solution set for the inequality 3\frac{2}{5}x < 21.08 is shown on the number line below. Which value of x is NOT in the solution set?

Tags

CCSS.6.EE.B.8

An inequality is shown below. (15 ≥ x + 1.5) Which situation is best represented by the inequality?

• Sheridan sells pens for $1.50 each. How many pens, x, does she need to sell to

  make at least $15?

• B. Tony has $15. Party favors cost 15 cents each. He buys one party favor. How much money does he have left, x?

• Micah has $15. Candy bars are $1.50 each. How many candy bars, x, can he buy?

• Jessica has $15 to spend on lunch. She spent $1.50 on a drink. How much money

  can she spend on her meal, x?

Tags

CCSS.7.EE.B.4B

An inequality is shown below. 25x ≤ 80 Which situation is best represented by the inequality?

• Angela saves $25 every month. How many months, x, will it take her to save $80

  or more?

• Marco has 25 songs on his music player. How many additional songs, x, can he put

  on the music player if it will only hold 80 songs?

• Brooke has saved $80 to buy shoes. At DaniCali Shoes, the shoes Brooke wants to

  buy are $25 per pair. What is the greatest number of pairs of shoes, x, Brooke can

  buy?

• Eighty students will be attending the school play. If each row in the auditorium has

  25 chairs, what is the least number of rows, x, that the students will use?

Tags

CCSS.6.EE.B.8

Deanna drew two angles. The sum of the measure of the two angles cannot be more than 60°. Deanna determines the measure of Angle XYZ to be 27.8°. Which best describes B, the possible measures of Angle ABC? Select the correct answers to complete the statement. The measure of angle B > 0 and is

​ (a)   ​ (b)  

Tags

CCSS.4.MD.C.7

Which inequality is true when x=7? Select TWO correct answers.

• A. -21 ≤ -3x

• B. x + 3 ≤ -10

• C. -21 < -3x

• D. -5x > -35

• E. -3x ≥ -21

Tags

CCSS.6.EE.B.5

An inequality is shown below. -7x > 63 Which inequality represents the solution set?

• x > 9

• x > 70

• x < -9

• x < -70

Tags

CCSS.6.EE.B.8