Practice: Two-Variable Inequalities Word Problems

Aleris is sending a fancy organic fruit basket to her grandma for her birthday.  Apples cost $3 and oranges cost $2.  Aleris can spend no more than $24 on the gift.  
Write an inequality that describes the situation.
Let x = # of apples
Let y = # of oranges

• 3x + 2y < 24
• 3x + 2y > 24
• 3x + 2y ≤ 24
• 3x + 2y ≥ 24

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

In order to make some extra money, Justin is mowing lawns.  He charges $11 to mow a small lawn and $26 to mow a large lawn.  He would like to make at least $130.
Write an inequality that describes the situation.
Let x = # of small lawns mowed
Let y = # of large lawns mowed

• 11x + 26y ≥ 130
• 11x + 26y ≤ 130
• 11x + 26y > 130
• 11x + 26y < 130

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables

• 8x + 10y < 162
• 8x + 10y > 162
• 8x + 10y ≤ 162
• 8x + 10y ≥ 162

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

You have relatives living in both the United States and Mexico. You are given a prepaid phone card worth $50. Calls within the continental United States cost $.16 per minute and calls to Mexico cost $.44 per minute.

• $0.16x\ +\ 0.44y\ \le\ 50$

• $0.16x\ +\ 0.44y\ <\ 50$

• $0.16x\ +\ 0.44y\ \ge\ 50$

• $0.16x\ +\ 0.44y\ >\ 50$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Janel bought three apples and two oranges. The total amount she paid was at most $123. If x represents the number of apples and y the number of oranges, which of the following mathematical statements represents the given situation?

•  $3x\ +\ 2y\ \ge\ 123$  

•  $3x\ +\ 2y\le\ 123$  

•  $3x\ +\ 2y\ >\ 123$  

•  $3x\ +\ 2y\ <\ 123$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12