Linear Equations

What is the slope of the line represented by the table?

• -3/2

• 3/2

• 2/3

• -2/3

Which is the graph of y= -x + 2?

• A

• B

• C

• D

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

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

Select the situation that could be modeled by: 12 + 5x = 18+3x

• Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?

• Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?

• Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?

Solve: 4k + 39 = 7k + 6

• k = 11

• k = 3

• k = -3

• k = -11

Solve: 14y + 5 = 8y - 1

• y = 1

• y = -1

Solve: 46 - 8p = 19 + p

• p = -3

• p = 7

• p = 3

• p = 9

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x

• 25 - 5x = 30 - 4x

• 30 - 25 = 4x + 5x

• 25x + 5 = 30x + 4

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 + 30x

• 100x + 45 = 125x + 30

• 100 + 45x = 125 + 30x

• 100 - 45x = 125 - 30x