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A1.REI.C.8 - EOC - Testlet 6

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A1.REI.C.8
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

A system of inequalities is shown.

$\begin{cases} y > 2x - 5 \\ y \leq -4x + 12 \end{cases}$

Which ordered pair is part of the solution to the system of inequalities?

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

A system of inequalities is shown.

$\begin{cases}x + y \le 13 \\ 4x + 7y \ge 65 \end{cases}$

Which graph represents this system of inequalities?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

A graph is shown.

Which system of inequalities is represented by the graph?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Terry made two separate purchases of packs of pens and packs of markers and then lost the receipts from both purchases. He spent at least $28 on the first purchase of 4 packs of pens and 4 packs of markers. He spent at least $20 on the second purchase of 4 packs of pens and 2 packs of markers. The graph shown represents the situation, where $x$ represents the cost of a pack of pens and $y$ represents the cost of a pack of markers.

Which statement could represent the cost Terry paid for a pack of pens and for a pack of markers?

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

The graph of a system of inequalities is shown.

Graph of a system of inequalities in the coordinate plane.

Which ordered pairs are solutions to the system of inequalities?

Select all that apply.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

An event is being held in an auditorium that seats 350 people. Admission to the event is $12 for adults and $5 for children. The organizers of the event must collect at least $3,500 in ticket sales to cover the cost of the event.

What is the greatest number of children’s tickets that can be sold for the organizers to be able to cover the cost of the event?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Anna earns $8 per hour babysitting and $14 per hour working at a grocery store. She can work no more than 20 hours a week and is not allowed to work a partial number of hours. Anna wants to earn at least $250 a week working at least 1 hour at both jobs.

What are all the possible combinations of hours she can work at each job to earn at least $250 per week while working no more than 20 hours?

Write your answer in the box. Be sure to include the inequalities that represent the situation and work or explanation to support your answer.