Algebra EOC

Which function represents this sequence?

The function f(x) is graphed to the left.

Which graph shows f(x) + 2?

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Which graph shows the function f(x) = 2x being translated 4 units down?

• graph of linear function

  g(x) = 2x + 8

• graph of linear function

  g(x) = 2x – 8

• graph of linear function

  g(x) = 2x + 4

• graph of linear function

  g(x) = 2x – 4

If the parent function is f(x) = mx + b, what is the value of the parameter m for the line passing through the points (–2, 7) and (4, 3)?

• -9

• -2

Which graph MOST clearly displays a set of data for which a linear function is the model of best fit?

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This graph plots the number of wins last year and this year for a sample of professional football teams.

Which equation BEST represents a line that matches the trend of the data?

• y = x + 2

• y = x + 7

• y = 0.6x – 0.2

• y = 0.6x + 2.4

To rent a carpet cleaner at the hardware store, there is a set fee and an hourly rate. The rental cost, c, can be determined using this equation when the carpet cleaner is rented for h hours.

c = 25 + 3h

Which of these is the hourly rate?

• 3

• 3h

• 25

• 25h

Triangle KLM has vertices as shown. Which relationship between the slopes of triangle KLM proves that it is a right triangle?

• LK ⟘ KM because the product of the slopes of these segments is –1.

• KL ⟘ LM because the product of the slopes of these segments is –1

• KL + LM because the sum of the slopes of these segments is less than 1

• LK + KM because the sum of the slopes of these segments is greater than 1.

Sandra makes necklaces and sells them at a school craft fair. She uses the equation P = 7.5n – (2.25n + 15) to determine her total profit at the fair when n necklaces are sold. Based on this equation, how much does she charge for each necklace?

• $2.25

• $7.50

• $15.00

• $17.25

Which function can be used to model the data in this table?

• f(x) = 3x

• f(x) = 2x -1