Analytical Geometry Chapter Test
Chapter
Chapter 5
Section
Analytical Geometry Chapter Test
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Solutions 12 Videos

Which choice best describes the line defined by the equation y = -4x + 27?

A. rising to the right

B. falling to the right

C. horizontal

D. vertical

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Q1

Which of the following statements is true about the line defined by the equation y = \frac{1}{3}x + 2?

A. It is steeper than the line defined by y = \frac{1}{6}x -4.

B. It has the same y-intercept as the line defined by the equation y = \frac{1}{5}x + 2

C. It is less steep than the line defined by y = 5x -6.

D. all of the above

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Q2

Which of the following equations represents the same line as described by 12x - 3y + 21 = 0?

A. \displaystyle y = \frac{1}{4}x - 7

B. \displaystyle y = -4x + 21

C. \displaystyle y = 4x + 7

D. \displaystyle y = \frac{1}{4}x + 63

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Q3

What can be said about the lines given by the equations 3x + 7y = 28 and y = \frac{7}{3}x - 2?

A. they are perpendicular

B. they are parallel

C. they are the same

D. none of the above

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Q4

A line passes through the point (1, -4) and has a slope of \displaystyle \frac{5}{2} . Which of the following points would also be on this line?

A. (6, -2)

B. (3, 1)

C. (-1 1)

D. (3, -9)

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Q5

Sketch the graph of y = -\frac{4}{5}x + 3 using the slope and y-intercept.

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Q6

Are the points A(-10, -4), B(-3, 7), and C(2, 14) collinear? Explain how you know.

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Q7

Points M(14, 6) and N(-7, k) lie on a line that has a slope of \frac{3}{7} . Determine the value of k.

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Q8

Tickets for this year's major drama production cost $8 for adults and $6 for students. Last night's show earned $2200.

a) Write an equation to represent the relationship between the number of adult tickets sold and the number of student tickets sold.

b) Rearrange your relationship to isolate the variable representing the number of adult tickets.

c) If no students purchased tickets, how many adult tickets were sold?

d) If 148 students purchased tickets, how many adult tickets were sold?

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Q9

Determine the equation of the line that passes through the points (-5, 7) and (5, 15).

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Q10

Carrie—Lynn has just recorded her first CD and would like to create 400 CDs for her upcoming CD release party. The company CD—Clone charges $159 for 100 CD5 and $297 for 250 CDs.

a) Write the equation for the relationship between the numbers of CDs created and the total cost.

b) Use your equation to calculate the cost for 400 CD5.

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Q11

Determine the equation of the line that is perpendicular to the line 6x+ 10y - 1 = 0 and has the same y—intercept as 3x +y = 1.

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Q12