Real World Algebraic Equation

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

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Sarojini is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

An Uber charges $3, plus $1.50 for each mile traveled.  Sam rode in the Uber from their home to the airport and was charged $30.  How many miles does Sam live from the airport?

• 18 miles

• 20 miles

• 22 miles

WRITE AN EQUATION Harper had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

Sam's parents gave him $100 for earning straight A's all semester. Sam got a job at a construction company earning $25 for every 2 pallets he loads. Write an equation to show how much total money, y, Sam will have loading pallets, x. y = ​ (a)   x + ​ (b)  

• 12.50

• 100

• 2

• 25

A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed.

​ ​ (a)   ​ ​ ​ ​ (b)  

• 1c + 3

• 3c + 1

• t = tents

• 1t + 3

• 3t + 1

• c = (number of) campers

Mrs. Guang purchased four airline tickets to Florida. She will also pay a fee of $55 for an extra piece of luggage. Define a variable and write an expression to represent her total cost of flying to Florida.

• l = (pieces of) luggage

• 4l + 55

• 55t + 4

• t = (number of) tickets

• 4t + 55

• 55l + 4

Mrs. Guang purchased four airline tickets to Florida. She will also pay a fee of $55 for an extra piece of luggage. Define a variable and write an expression to represent her total cost of flying to Florida.

• l = (pieces of) luggage

• 4l + 55

• 55t + 4

• t = (number of) tickets

• 4t + 55

• 55l + 4

?

Mathematical Equivalence

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