Equations Writing

Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help me find out how much each desk weighs?

• 34 + 3 = 157

• 34x + 3 = 157

• 3x + 34 = 157

• x + 34 = 157

Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

• 40 + 7.50x = 115

• 40x + 7.50 = 115

• 40 + 7.50 = 115

• 40 + 17.50x = 115

Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?

• 98x + 45 = 458

• 98 + 45x = 458

• 45 + 98 = 458

• 45x - 98 = 458

The 30 members of a choir are trying to raise $1500 to cover travel costs to a singing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500

• 30x - 600 = 1500

• x + 600 = 1500

• 30x = 1500

Nadea has $600 in her savings account. She withdraws $35 per week to buy gas for her car. Which equation can be used to determine how many weeks, w, it will take for Nadea to reduce her balance to $285?

• (600 – 35)w = 285

• 35w – 600 = 285

• 600 – w = 285

• 600 – 35w = 285

Which situation is best represented by the equation shown below?
6x + 36 = 42

• Sid bought some pens that cost $6 each and three binders that cost $12 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 

• Sid bought some pens that cost $6 each and three binders that cost $36 each. The cost of Sid’s total purchase is $42. What is x, the number of pens Sid bought? 

• Sid spent $42 at the store. He bought some binders that cost $36 each and a pen for $6. If Sid spent a total of $42, what is x, the number of binders Sid bought? 

• Not here

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x

• 25 + 15 = x + 2x

• 25x + 1 = 15x + 2

• 25 + x = 15 + 2x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 35x

• 100x + 45 = 125x + 35

• 100 + 45x = 125 + 35x

• 100 - 45x = 125 - 35x