Test on Writing Equation of Linear Equation

Classroom performance points are worth 0.25 of your overall score and concept checks are worth 0.375 of your overall score. A student has earned 46.25% of their overall grade from these two categories alone. Write an equation to represent the given situation.

• y = 0.25x + 0.375

• y - 0.375 = 0.25(x - 46.25)

• y - 46.25 = 0.25(x - 0.375)

• 0.25x + 0.375y = 46.25

1) A car is driving down from the top of a Colorado mountain. The elevation at the top of the mountain is 13,500 feet. Every minute of driving, the car’s elevation decreases by 150 feet. Write an equation to represent the given situation.

• y = 150x + 13,500

• y = -150x + 13,500

• y - 13,500 = -(x - 150)

• 150x + 13,500y = 13,750

A car rental company charges $164 for renting a vehicle for 2 day. They also charge $198 for renting a vehicle for a total of 4 days. Write an equation to represent the given situation.

• y = 2x + 164

• y - 164 = 17(x - 2)

• y - 198 = 34(x - 4)

• 4x + 164y = 198

The cost to rent a car at the Johnson Car Rental is $29 per day plus a $50 non-refundable insurance cost. Write an equation to represent the given situation.

• y = 29x + 50

• y = 50x + 29

• y - 50 = 1(x - 29)

• 29x + 50y = 79

The Joyner’s swimming pool currently has 30 inches of water in it. In the spring, Mr. Joyner will refill the swimming pool by adding water at a rate of 2 inches per hour. Write an equation to represent the given situation.

• y = -2x + 30

• y = 2x + 30

• y - 30 = 2(x - 0)

• -2x + 30y = 28

Mr. P goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92. What information is given and which equation should you use?

• A slope and y - intercept are given; use y = mx + b.

• A slope and y - intercept are given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What equation should you use for this word problem?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

Amy wants to buy soda AND pizza for her Halloween party. She has $45 to spend. One case of soda costs $4, and one pizza costs $8. Write an equation that could be used to find a valid combination for as many cases of soda, x, and pizzas, y, as she can afford.

• 8x + 4y = 45

• 4x - 8y = 45

• 12xy = 45

• 4x + 8y = 45