Algebra Standard FGR2 & PAR 4 ABC PreTest

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

• f(x) = x²

• f(x) = 2x

• f(x) = 3x – 3

Northwest High School hired a photographer for $2,000 for their senior prom. Tickets for the dance are $75 each. Write the function that represents the funds raised from ticket sales and include the appropriate restrictions on the domain of the function.

• F(t) = 75t - 2,000: −∞ < t < ∞, where t is a real number.

• F(t) = 75t - 2,000: t ≥ 0, where t is an integer.

• F(t) = 75t² - 2,000: −∞ < t < ∞, where t is an integer.

Which system of inequalities defines the shaded region below?

Harmon has $900 in his bank account at the beginning of the school semester. He is hoping to have at least $300 in his bank account at the end of the semester (18 weeks). If Harmon only withdraws $35 a week for food, gas, and entertainment, will he be able to reach his goal at the end of the semester? Which inequality models the situation?

• Yes, if Harmon withdraws $35 per week, he will have $370 in his account.
  $900 −$35x ≤ $300; x ≤ 17.143 weeks.

• Yes, if Harmon withdraws $35 per week, he will have $310 in his account.
  $900 − $35x ≤ $300; x ≤ 18.4 weeks.

• No, if Harmon withdraws $35 per week, he will have $270 in his account.
  $900 − $35x ≥ $300; x ≤ 17.143 weeks

• No, if Harmon withdraws $35 per week, he will have $270 in his account.
  $900 − $35x ≥ $300; x ≤ 18.4 weeks

Which system of inequalities is modeled in the picture?

• x + y ≤ 6, x ≥ 0, y ≥ 0

• x + y ≤ 13, -4x + 7y ≥ 56

• y ≥ 0, 2x + 2y ≤ 310

• x + 6y ≤ 9, 20x + 34y ≥ 240

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• (-2, -5)

• (0, 4)

• (5, 15)

• (8, 12)

For f(x) = x - 9, find f(-14).

• -5

• 5

• -23

• 23

A school is organizing a fundraising event to raise money for their school supplies. They plan to sell at least 100 shirts and 150 water bottles. They also know that they can only afford to buy 300 items for the event. T-shirts are selling for $10 each and water bottles are $5 each. Write and solve a system of linear inequalities to determine the maximum profit they can earn.

• $1,750

• $2,000

• $2,250

• $3,000