Algebra I Comprehensive Review

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A.3(C)-R

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A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?

• g = 2d - 8

  g + d = 46

• g = 8 - 2d

  g = 46 - d

• d = 2g - 8

  d = 46 - g

• d = 8 - 2g

  d + g = 46

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept represent?

• Number of rides

• The entrance fee

• The cost for food

• The cost per ride

Which ordered pair is in the solution set of 8x + 16y > 32

• (0, 2)

• (-3, 5)

• (-1, 1)

• (4, 0)

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A.3(C)-R

A.2A: Which graph best represents a function with a domain of all real numbers less than or equal to 6?

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Which inequality best represents the domain of the part shown?

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < g (x ) ≤ 3

• -6 ≤ g (x) < 3

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?