Equations and Inequalities Word Problems

​Equations and Inequalities Word Problems

By McKaylee Ladd

Multiple Choice

The student council ordered 1000 pencils embossed with the school name to give to honor roll students. If they give each honor roll student two pencils and they have 840 pencils left after the first quarter, how many students are on the honor roll in the first quarter? Let s represent the number of honor roll students.

• 1000 -2s = 840

  s = 80

• 1000 -2s = 840

  s = - 80

• 2s + 1000 = 840

  s = - 80

• 2s - 840 = 1000

  s = 920

Drag and Drop

Mario has a collection of 125 comic books. He gives each of his 3 friends the same number of comic books and keeps his favorite 38 comic books for himself. How many comic books did he give to each of his friends? Equation ​

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x = ​ ​

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125 = 3x + 38

29

125 = 3x - 38 

54

125 = 38x +3

3

Dropdown

During the summer, Eduardo and Chris started their own business mowing lawns. Before starting any work, Eduardo spent $20 to fill up the gas tank for the lawnmower. The boys agreed that each person would earn the same amount after Eduardo was reimbursed the money he spent for gas. After a week of work, the boys were paid a total of $177 . Eduardo filled up the gas tank just once. How much did each boy earn?​

Select answer

Match

Lizzie buys bananas, grapes, and apples. She buys twice the amount of bananas as grapes. She buys 2 more pounds of apples than grapes. Altogether, Lizzie bought 14 pounds of fruit. How many pounds of each fruit did she buy?

• Grapes

• Bananas

• Apples

3 lbs

6 lbs

5 lbs

• 3 lbs

• 6 lbs

• 5 lbs

Drag and Drop

Ashley and Tiara have 82 pins together. Tiara has 34 more pins than Ashley. How many pins are in Tiara’s collection?​

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How many pins are in Ashley’s collection?​

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58

24

70

42

50

Drag and Drop

Mario’s collection has 64 fewer refrigerator magnets in it than Andrew’s collection. They have 112 refrigerator magnets together. How many refrigerator magnets does Mario have?​

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How many refrigerator magnets does Andrew have?​

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24

88

72

32

96

Drag and Drop

There are 7800 workers in the three main buildings downtown. Three hundred fewer people work in the second-largest building than the largest building and 900 fewer people work in the smallest building than the largest building. How many workers are in each building?

Smallest​ ​

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Medium ​

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Largest​

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2100

2700

3000

1500

1800

1200

Multiple Select

Eduardo needs to buy a book for school that costs $13 . He also wants to get a book for each of his two sisters, and he wants to be sure he spends the same amount on each of their books. He only has $27 to spend. Let b represent the amount he can spend on each additional book. Select the correct equation and value of b.

• 2b + 13 ≤ 27

• 2b + 13 ≥ 27

  
  

• b ≥ 7

• b ≤ 7

Dropdown

There must be less than 36 people on one bus. There are already 17 people on the bus. Let p represent the additional number of people that can ride the bus.

Equation: ​

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p ﹥​

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