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Course: Math 009 - Quiz 5 (Coursework Sample)

Instructions:

Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form.

2) A faucet is used to add water to a large bottle that already contained some water.  After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 30 ounces of water.  After it has been filling for 13 seconds, the gauge indicates the bottle contains 70 ounces of water.  Let y be the amount of water in the bottle x seconds after the faucet was turned on.  Write a linear equation that models the amount of water in the bottle in terms of x.

A) y = 5x + 5        B) y = x + 29      C) y = - 5x + 55   D) y = 5x + 57

 

3) A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3880 gallons on a day that they charge $1.40 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1.25 per gallon.

A) 6704.1 gallons             B) 6696.7 gallons              C) 6700 gallons D) 6709 gallons

 

4) The average value of a certain type of automobile was $15,660 in 1994 and depreciated to $6780 in 1997.  Let y be the average value of the automobile in the year x, where x = 0 represents 1994.  Write a linear equation that models the value of the automobile in terms of the year x.

A) y = -2960x - 2100         B) y = -2960x + 15,660     C) y = -2960x + 6780        D) y = - x - 6780

 

Write the equation of the line with the given slope, m, and y-intercept, (0, b).

5) m = ; b = 1

A) y = - x + 1      B) y = x - 1          C) y = - x - 1       D) y = x + 1

 

Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C. 

6) (2, 6) and (-3, 3)

A) -3x + 5y = 24 B) 3x + 5y = 24    C) 4x + 6y = -30 D) -4x - 6y = -30

 

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C. 

7) m = - ; (4, 4)

A) 4x + 5y = -36  B) 4x + 5y = 36    C) 5x + 4y = -36  D) 4x - 5y = 36 

source..
Content:

Name:
Course: MATH 009- Quiz 5
Instructor: Tara Wells
Date:
Questions and answers
Question Answer 1B2A3C4B5D6A7B8A9B10D11B12A13A14C15C16A17C18C19C20B Quiz 5 (Sections: 13.3, 13.4, and 13.5) Instructor: Tara Wells
Name___________________________________ MATH 009
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Identify the intercepts.
1)

A) (2, 0), (- 2, 0) B) (2, 0), (- 2, 0), (0, 8), (0, - 8)
C) (8, 0), (- 8, 0), (0, 2), (0, - 2) D) (0, 8), (0, - 8)
Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form.
2) A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 5 seconds, the gauge on the bottle indicates that it contains 30 ounces of water. After it has been filling for 13 seconds, the gauge indicates the bottle contains 70 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.
A) y= 5x + 5 B) y = QUOTE  x +29 C) y =- 5x + 55 D) y = 5x + 57
3) A gas station sells 4820 gallons of regular unleaded gasoline in a day when they charge $1.35 per gallon, whereas they sell 3880 gallons on a day that they charge $1.40 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1.25 per gallon.
A) 6704.1 gallons B) 6696.7 gallons C) 6700 gallons D) 6709 gallons
4) The average value of a certain type of automobile was $15,660 in 1994 and depreciated to $6780 in 1997. Let y be the average value of the automobile in the year x, where x = 0 represents 1994. Write a linear equation that models the value of the automobile in terms of the year x.
A) y=-2960x - 2100 B) y =-2960x + 15,660 C) y =-2960x + 6780 D) y =-  QUOTE  x - 6780
Write the equation of the line with the given slope, m, and y-intercept, (0, b).
5) m= QUOTE  ; b = 1
A) y=- QUOTE  x + 1 B) y = QUOTE  x - 1 C) y =- QUOTE  x - 1 D) y = QUOTE  x + 1
Find an equation of the line passing through each pair of points. Write the equation in the form Ax + By = C.
6) (2, 6) and (-3, 3)
A) -3x + 5y =24 B) 3x + 5y =24 C) 4x + 6y =-30 D) -4x - 6y =-30
Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
7) m=- QUOTE  ; (4, 4)
A) 4x + 5y =-36 B) 4x + 5y = 36 C) 5x + 4y =-36 D) 4x - 5y = 36
Find the slope of the line.
8) 6x - 2y = 12
A) m=3 B) m = C) m =- 3 D) m = 6
9) y=-9
A) m= 3 B) m = 0 C) m = 1 D) m =-9
Graph the linear equation.
10) x+ 3= 0

A)
 B)

C)
 D)

11) y= 3

A)
 B)

C)
 D)

Find the slope of the line that passes through the points.
12) (1, 9) and (4, 5)
A) -  QUO...
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