Linear Relations Review

A cross-country ski park contains five different trails. The diagram shows the trails, with each trail being successively larger. Each side length of the shortest trail is 2 km. The side length of each consecutive trail is 0.5 km longer than the previous one. 

• y = 8x
• y = 2x - 5
• y = 2x + 6
• y = 4x

Match each equation with its graph below.  a) y = 2x      b) 2y = 7     c)  3y = 2

• Graph A a)  Graph B is b)  Graph C c)
• Graph A b)   Graph B a)   Graph C c)
• Graph A b)   Graph B  c)   Graph C a)
• Graph A c)   Graph B a)   Graph C b)

What equation models the graph?

• y = x + 1
• y = x - 1
• y = 0.5x - 2
• y = 0.5x + 2

On top of the $45 monthly fee, Mike’s cell phone plan charges $0.15 for every text message he sends or receives. Write an equation to represent the situation, and if his budget is $80, how many text messages can he send or receive?

• y = 45x + 0.15, 2 texts
• y = 45x + 0.15, 3600 texts
• y = 0.15x + 45, 233 texts
• y = 0.15x + 45, 57 texts

Match the equation to a correct statement.

• He charged $5 every hour.
• He left 5 hours ago.
• he started with $5
• he bought 5 lemons

What is the cost for 5 items?

• 5
• 0
• 30
• 25

Total pay is $10 to show up
and $7  for every hour worked. Which of the following statements is true?

• The initial value is 7
• the initial value is 10
• the rate of change is 10
• the initial value is 17

If Nick works 10 hours, how much money will he earn? (Use this rule)

• $17
• $70
• $80
• $107

The equation for this graph  is ...

• C = 5n
• C = 100n
• C = -5n + 100
• C = 5n + 100

What is the rule?

• T= 3 x P 
• T = 6 x P + 3
• T = 3 x P + 6
• T = 9P