Writing Linear Equations

A tub has 40 gallons of water in it and starts draining at a rate of 6 gallons per minute. Write a formula for the amount of water left in the tub.

• y = 6x + 40
• y = -6x + 40
• y = 6x - 40
• y = 40x - 6

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck
• The per-mile fee for the moving truck
• How much Charlie paid for the truck
• The number of miles he drove

Norb is a waiter in a diner.  He earns $4 per hour plus 95% of his tips.  Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

• S = 4t + 0.95d
• S = 95t + 4d
• S = 0.4t + 9.5d
• S = 4t + 9.5d

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

You and your friends go to the movies and purchase some popcorn and Pepsi. Popcorn is sold for $4.99 per bag and Pepsi is sold for $1.99 per bottle. You each chip in to pay $24.92. Write an equation to represent the given situation.

• y = 1.99x + 4.99

• y = 4.99x + 24.92

• y - 1.99 = 4.99(x - 24.92)

• 1.99x + 4.99y = 24.92

A cell phone plan costs $30 per month, m, with an additional charge of $0.10 per text message, t, sent. The total monthly cost was $50.

• 30m+0.10t=50

• m+t=50

• 20t+0.10m=50

• 50m+0.10t=30

A movie theater charges $8 per adult ticket (a) and $4 per child ticket (c). On a particular day, they made a total of $1100. Write a linear equation to represent this.

• a+c=1100

• 8c+4a=1100

• 8a+4c=1100

• a+8c=1100

Max wants to buy chips and a soda from the store. Bags of chips, c, cost $1 each and bottles of soda, s, cost $2 each. Max spends a total of $14. Write an equation to show the number of bags of chips and bottles of soda Max could buy.

• c+s=14

• s+2c=14

• 2s+c=14

• 2s+2c=14

Will is playing basketball. He makes some 2-point baskets, x, and some 3-point baskets, y. Write an equation to show that Will made a total of 12 baskets in a single game.

• 2x+3y=12

• 3x+2y=12

• x+y=12

• x+2y=12

Will is playing basketball. He makes some 2-point baskets, x, and some 3-point baskets, y. He scored a total of 23 points in the game. Write an equation to show how many of each type of basket he could have made.

• 2x+3y=23

• 3x+2y=23

• x+y=23

• 2x+2y=23