Linear Equations Questions

  

Linear Equations.docx
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Question 1
1. Find the slope of the graph below.
2
-2
Question 2
1. Find the slope of the line that passes through the points (0, -3) and (-4, 1).
-1
-4
1
4
Question 3
1. A particular English class has 40 students. As the students leave the room, only 28 students are
left after 3 seconds. What is the rate of change of the number of students in the classroom each
second?
-4 students per second
4 students per second
12 students per second
-12 students per second
Question 4
1. The following table shows the number of total text messages sent on the first few days of July. If
this rate continues, what is the rate of change for this situation?
Day
Text messages sent
July 1 35
July 2 70
July 3 105
35 per day
-35 per day
70 per day
105 per day
Question 5
1. The table below shows values for x and y. If y varies directly as x, what is the constant of
variation?
x
y
4
-2
8
-4
12
-6
16
-8
-2
2
4
Question 6
1. For a particular cargo train, the amount of fuel needed for a trip varies directly with the number
of miles it plans on traveling. If it needs 300 gallons of fuel for a 100-mile trip, how much fuel
does it need for a 750-mile trip?
2100 gallons
2150 gallons
2200 gallons
2250 gallons
Question 7
1. Given that a truck can drive 25 miles with 4 gallons of gasoline, how many gallons does it need
to drive 125 miles?
5 gallons
10 gallons
20 gallons
25 gallons
Question 8
1. Select the equation written in point-slope form.
Question 9
1. Select the description that is true of the equation:
slope = 4
slope = -4
y-intercept equals 4
y-intercept equals 3
Question 10
1. Select the equation in which the graph of the line has a negative slope and the y-intercept
equals -5.
Question 11
1. Select the equation that contains the point (3, 6) and in which the slope equals 1.
Question 12
1. Select the equation in which the slope equals 11 and the y-intercept equals -2.
Question 13
1. Select the equation that is equivalent to the equation:
.
Question 14
1. Which of the following represents an equation of a line with a slope of 5 and a y-intercept of 1?
Question 15
1. Select the equation that contains the points, (-2, -2) and (4, 10).
Question 16
1. Which of the following represents an equation of a line with an x-intercept of 4 and a y-intercept
of -2?
Question 17
1. Select the equation that is represented by the following graph:
Question 18
1. Select the graph that shows the line given by the equation
.
Question 19
1. The following table shows ice cream sales (y) with respect to the temperature for the day (x).
Which of the following is most likely to be the equation of the trend line?
Temperature Ice Cream Cones
(Fahrenheit) sold
70
5
81
30
84
40
95
54
Question 20
1. Find the slope of the line that passes through the points (5, -3) and (5, 1).
-4
4
0
The slope is undefined.
Question 21
1. Which equation is correctly represented by the following graph?
x = 2.5
y = 2.5
x = 2.5y
y = 2.5x
Question 22
1. The slopes of two lines are 3 and
are which of the following?
. Because of this, we can conclude that these two lines
Parallel
Perpendicular
Horizontal
None of these
Question 23
1. Line D passes through the points (1, 1) and (5, 6). What is the slope of a line perpendicular to
Line D?
Question 24
1. Select the equation of the line parallel to the equation y = -2x – 7 that passes through the point
(3, 1).
y = -2x + 7
y = -2x + 6
y = -2x – 2
y = 3x – 8
Question 25
1. What is the equation of the line perpendicular to 3x + y = 6 that passes through the point (-6, 1)?

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