Create Linear Equations in Standard Form

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 15x + 40

• y = 40x + 15

• y = 15x

• y = 15x - 40

This table represents some points on the graph of a linear function. Write a function that would represent the same relationship.

Mathematical Equivalence

ON

Cody bought 12 items from Academy consisting of shirts and pants for $64. Academy is having a sale for $4 per shirt and $6 per pants. Fill in the blanks to create a system of equations that can be used to determine the number of shirts, s, and the number of pants p Cody

​ (a)   +​ (b)   =​ (c)  

​ (d)   +​ (e)   = 12

• 4s

• 6p

• 64

• s

• p

• 4p

• 6s

• 12p

• 12s

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write an equation in standard form to describe the situation.

• 40y+100x=1600

• 100x+40y=1600

• 40x+100y+1600

• 100y+40x=1600

Ax + By = C is __________________

• slope intercept form

• standard form

• point slope form

• domain and range

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

For - 6x + 9y = -18 , find the intercepts

• x is 2 and y is 3

• x is 3 and y is 2

• x is 3 and y is -2

• x is 6 and y is 9

A basketball team has 54 points and has only made 2pt field goals and 3pt field goals. The equation 2x + 3y = 54 represents this. What are the intercepts?

• 9 , 6

• 2 , 3

• 27 , 18

• 54 , 1

A basketball team has 54 points and has only made 2pt field goals and 3pt field goals. The equation 2x + 3y = 54 represents this. If the team makes nine 2pt field goals, how many 3pt field goals are made?

• 12

• 9

• 10

• 11