Linear Equation Standard Form

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Hats are $10 each and gloves are $5 each. A customer spends a total of $30.

If "x" is the hats and "y" is the gloves, which equation models this?

• 10x + 5y = 30

• 5x + 10y = 30

Oranges cost $4 per pound and bananas cost $2 per pound. A customer spends $28.

If "x" is the oranges and "y" is the bananas, which equation models this?

• 2x + 4y = 28

• 4x + 2y = 28

Small bags of apples are $2 each and large bags of oranges are $6 each. A customer spends a total of $28.

If "x" is the number of bags of apples and "y" is the number of bags of oranges, which equation models this?

• 6x + 2y = 28

• 2x + 6y = 28

Yandel is selling concert tickets for his friend's show. Regular tickets cost $35 and VIP tickets cost $50. Yandel's manager told him he needs to sell $1,000 worth of tickets. Which of the following equations could be used to represent the number of regular tickets, x, and VIP tickets, y, Yandel needs to sell to meet the goal?

• 35x - 50y = 1000

• 50x - 35y = 1000

• 50x + 35y = 1000

• 35x + 50y = 1000

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

Write 2x + 3y = 12 in slope intercept form

• 3y = -2x + 12

• y = -2/3x + 2

• y = -2/3x + 4

• y = 2/3x + 2

Determine the slope and y-intercept.         y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Graph x+y=3

• A

• B

• C

• D

Find the slope

• -5/7

• 7/5

• -7/5

• 5/7