Equation and Inequality Word Problems

For a field trip 4 students rode in cars, and the rest filled nine buses. 472 students went on the trip. Which equation models the situation?

• 4x = 472

• 9x = 472

• 4 + 9x = 472

• 4x + 9 = 472

Tags

CCSS.HSA.CED.A.3

Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year? 

• 3f = 63
• 63 - f = 3

• 3 - f = 63

• 3 + f = 63

Tags

CCSS.HSA.CED.A.3

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They spent $12,000 one day.  Which equation could be used to find the number of bears t the company has made that day?

• 1500 + 8t = 12000

• 12000 + 8t = 1500

• 1500 - 8t = 12000

• 8t - 12000 = 1500

Tags

CCSS.HSA.CED.A.3

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal that costs $4.50 per box. Which equation can be used to find out how many boxes she can purchase?

• 3.50x + 4.50 = 25

• 3.50x + 25 = 4.50

• 4.50x + 3.50 = 25

• 4.50x + 25 = 3.50

Tags

CCSS.HSA.CED.A.3

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, which equation can be solved to find how many cabins need to be rented?

• 120 - 8c = 472

• 120 + 8c = 472

• 120c - 8 = 472

• 120c + 8 = 472

Tags

CCSS.HSA.CED.A.3

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  Which equation can be used to find how many miles Mr. Lewis lives from the airport?

• 3x + 30 = 1.50

• 1.50x + 3 = 30

• 30x + 1.50 = 3

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Tags

CCSS.HSA.CED.A.3

Nancy won a certain number of pieces of gum playing the bean bag toss at the county fair. At school she gave 21 away to her classmates. She only has 5 remaining. How many did she give away? Write an equation to solve this problem using g as your variable.

• g/21=5
• g-21=5
• g-5=21
• g+5=21

Tags

CCSS.HSA.CED.A.3

 Nicole and her best friend split the amount of money they earned over the weekend mowing lawns. If each person got $10.93, what is the total amount of money they earned? Which equation could you use to solve this problem?

• 2d=10.93
• d/2=10.93
• d-2=10.93
• d+2=10.93

Tags

CCSS.HSA.CED.A.3