1.12 Write Equations and Inequalities

Ken has $264 in his bank account.  He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account.  Which inequality describes d, the amount of money Ken needs to deposit?

• 264 + 189 + d ≥150
• d(264 - 189) ≥ 150
• 264 - 189 + d ≥ 150
• d - 189 ≥150

Lisa went to the mall to do her back-to-school shopping. When she returned home, she noticed that the number of shirts(s) she purchased was 3 more than twice the number of pants(p) she bought. Write an equation that can be used to represent the number of shirts Lisa purchased

• p = 3 + 2s

• s + 2p = 3

• 2p = s + 3

• s = 3 + 2p

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?

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

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

The Bombetta Company wants to send a team of three representatives to a conference.  Their budget is $700.00 plus $125.00 per day for expenses.  If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

• 125x + 700 ≥1,400
• 700 + 125x ≤1,400
• 700x + 125 ≤1,400
• 125x - 700 ≤ 1,400

Look at the graph. Is the relation a function?

• yes

• no

Is this table a function and how can you tell?

• Yes its a function because there are not variables for missing numbers

• No it's not a function because the y value 4 repeated

• No it isn't a function because the x value 2 is repeated

• No it's not a function because the x value 5 has y values of  10 & 12

Find the slope of:
(-4,5) and (-4, 2)

• 0
• 6
• undefined
• -3/8

Find the slope of:
(12,-2) and (4, -6)

• -1/2

• 5/7

• -2

• 1/2