Answers FL-1200710-Mathematics for College Algebra ALinear Programming

Linear Programming — Unit test Answers

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Mr. Lee asks a student to solve the following system of linear equations.Which ordered pair (p, q) is the solution to the system?

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(0, 2)

(2, 0)

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The constraints of a problem are listed below. What are the vertices of the feasible region?

(0, 0), (0, 3), (2, 3), (5, 0)

(0, 0), (0, 5), (2, 3), (5, 0)

(0, 0), (2, 3), (5, 0)

(0, 3), (0, 5), (2, 3)

Which statement about the following system of inequalities is true?

The solution contains points in one quadrant of the coordinate plane.

The solution contains points in two quadrants of the coordinate plane.

The solution contains points in three quadrants of the coordinate plane.

The solution contains points in all four quadrants of the coordinate plane.

The constraints of a problem are listed below. What are the vertices of the feasible region?

(0, 0), (0, 2.5), (1.5, 2), (3, 0)

(0, 0), (0, 4), (1.5, 2), (7.5, 0)

(0, 2.5), (1.5, 2), (4, 3)

(0, 4), (1.5, 2), (7.5, 0)

Consider the solution to the system of inequalities below.Which of the following functions could be added to the system without changing the solution set?

y = –2

y < –2

y < –3

y > –3

Which system of equations is consistent and dependent?

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Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

5 albums and 2 singles

2 albums and 5 singles

2 albums and 10 singles

10 albums and 2 singles

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

(1, –3)

(–1, 3)

(1, 3)

(–1, –3)

What is the value of w in the solution to the following system of linear equations?

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Evan washes two types of vehicles. It takes him 30 minutes to wash a car and 40 minutes to wash a truck. He charges $12 to wash a car and $15 to wash a truck. In 270 minutes, Evan made $105 washing cars and trucks. How many trucks did Evan wash?

2 trucks

3 trucks

4 trucks

5 trucks

Solve the system of equations below by graphing. What are the approximate solutions rounded to the nearest tenth?

(–6.2, –4) and (5, 0.6)

(–4, –6.2) and (0.6, 5)

(–2.4, 2.4) and (3.7, –12.8)

(2.4, –2.4) and (–12.8, 3.7)

Solve the system of equations below by graphing. What is the solution rounded to the nearest hundredth?

(–2.25, –1.5)

(–1.5, –2.25)

(–0.82, –0.68)

(–0.68, –0.82)

Which ordered pair (r, s) is the solution to the given system of equations?

(1, 8)

(3, 8)

(1, –2)

(8, 3)

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

$1,400

$1,600

$1,700

$1,800

What is the value of y in the solution to the following system of linear equations?

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Linear Programming — Unit test Answers

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