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31 questions
What is the slope of the line through (-5,2) and (6,7) in the standard (x,y) coordinate plane?
9
5
-5
5/11
-5/11
What is the slope of the line through the points (-4, 1) and (-6,-3) in the standard (x,y) coordinate plane?
-7
-1/7
1/5
1/2
2
What is the slope of the line that passes through the points (-2, 5) and (3,-4) in the standard (x, y) coordinate plane?
1
-1/5
-5/9
-1
-9/5
To make walking less strenuous, a park administrator decided to reduce the grade (slope) of a walking path. At present, the path rises 30 feet for every 300 feet of horizontal distance. The grade of the walking path would be reduced if the path rises:
40 feet for every 300 feet of horizontal distance
35 feet for every 275 feet of horizontal distance
30 feet for every 2550 feet of horizontal distance
25 feet for every 300 feet of horizontal distance
20 feet for every 200 feet of horizontal distance
The point (2,5) is shown in the standard (x,y) coordinate plane below. Which of the following is another point on the line through the point (2, 5) with a slope of -2/3?
A (-1, 3)
B (0, 8)
C (4, 2)
D (5, 3)
E (5, 7)
Lines p and n lie in the standard (x,y) coordinate plane. An equation for line p is y=0.12 x + 3000. The slope of line n is 0.1 greater than the slope of line p. What is the slope of line n?
0.012
0.02
0.22
1.2
300
A point (-5, 8) in the standard (x,y) coordinate plane is shifted right 8 units and down 5 units. What are the new coordinates of the point?
(-13, 13)
(0, 0)
(3, 3)
(3, 13)
(13, 13)
A point (-6,11) in the standard (x,y) coordinate plane is shifted right 11 units and down 6 units. What are the new coordinates of the point?
(-17,17)
(0,0)
(5,5)
(5,17)
(17,17)
In the standard(x,y) coordinate plane, A has coordinates (-4, -9). Point A is translated 4 units to the right and 9 units up and labeled A'. What are the coordinates of A'?
(-13,-13)
(-8,-18)
(-4,-18)
(0,0)
(8,18)
A car accelerated from 88 feet per second (fps) to 220 fps in exactly 3 seconds. Assuming the acceleration was constant, what was the car's acceleration, in feet per second per second, from 88 fps to 220 fps?
1/44
29 31
44
75 31
102 32
What are all real values of m, if any, such that any line through the points(3,7) and (3,m) will be vertical when graphed in the standard (x,y) coordinate plane?
-7
3
All real numbers satisfy this condition.
All real numbers except 7 satisfy this condition.
No real numbers satisfy this condition.
What is the slope-intercept form of 4x-y-3=0?
y = -4x-3
y= -4x+3
y= 3x-4
y=4x-3
y= 4x+3
What is the slope of the line represented by the equation 6y -14x =5?
-14
5/6
7/3
6
14
Which of the following is the equation 3(x-y)=5 solved for y?
y = x -5/3
y = 5/3 -x
y= 15 -x
y= x -15
y= 5/3x
Given 6x - y = x + 5y, which of the following is an expression for y?
−65x
65x
56x
6x+6y
6xx+5y
When solved for y, what is 3x +5y -13 = 0?
y=3−5x+13
y=5−3x+13
y=53x+13
y= −3x−8
y=−15x−65
The line with equation 8x + 3y = 5 is graphed in the standard (x,y) coordinate plane. What is the slope of this line?
-8/3
-3/8
8/3
3/8
5/8
In the standard (x,y) coordinate plane, what is the slope of the line with equation 3x + 2y = 6?
-3
-3/2
-2/3
2/3
3/2
In the standard (x,y) coordinate plane, what is the slope of the line with equation 3x + 5y = 6?
-5/3
-3/5
3/5
5/3
2
In the standard (x,y) coordinate plane, what is the slope of the line 11x + 6y = 3?
-11
-11/6
11/3
3
11
In 1985, the cost of clothing for a certain family was $620. in 1995, 10 years later, the cost of clothing for this family was $1,000. Assuming the cost increased linearly, what was the cost of this family's clothing in 1991?
$908
$848
$812
$810
$772
When 6x = 2y -18 is graphed in the standard (x,y) coordinate plane, what is the y-intercept?
2
3
4
6
9
The line with equation x - 4y = 12 in the standard (x,y) coordinate plane crosses the x-axis at which of the following points?
(-12, 0)
(-4, -4)
(-4, 0)
(0, 3)
(12, 0)
In the standard (x,y) coordinate plane, what is the x-intercept of the line represented by y = -2x +8?
-4
-2
2
4
6
As a motivational speaker, Bree speaks at school assemblies, charging a school district for her travel costs and a fixed amount per assembly. Bree used the equation C = 50a +1500 to determine the charge of C dollars to speak at a assemblies in Escambia City School District. Bree charged the district $4,250 to speak at school assemblies. How many assemblies did Bree speak at in the district?
30
54
55
85
115
The graph, in the standard (x,y) coordinate plane, of which of the following lines contains the point (5,0) and makes an angle of 45 degrees with the positive x-axis?
y +10 = 2x
y = 45x
y = x+5
y = x-5
2y = 3x -15
The slope of the line with equation y = ax + b is greater than the slope of the line with equation y = cx + b. Which of the following statements must be true about the relationship between a and c?
a < c
a < c
a = c
a > c
a > c+1
Which of the following is an equation of the line that passes through the points (1,3) and (-3,-13) in the standard (x,y) coordinate plane?
x + y = 4
4x - y = 1
5x - y = 2
6x - 2y = 8
7x - 2y = 5
The yearly net profit earned by the Atlas Baby Food Company for 1999 was $2,379,000, and the yearly net profit earned for 2001 was $2,426,000. If the yearly net profits increased linearly from 1999 through 2001, what was the yearly net profit earned for 2000?
$2,105,050
$2,350,000
$2,400,000
$2,402,500
$2,425,000
When t= 2,005, the value of the function f(t) is 100 more than twice the value of f(t) when t= 1,998. Which of the following equations expresses this relationship?
f(2,005) = 2f(1,998) + 100
f(1,998) = 2f(2,005) +100
f(t) = 2f(t) +100
f(t+2,005) = 2f(t + 1,998) +100
f(2,005) +100 = 2f(1,998)
Which of the following is an equation of the line that is both parallel to and equidistant from the lines with equations y = 3x-6 and y = 3x+2?
y = 3x -4
y = 3x -2
y = 3x+4
y = 3/2 x - 3
y = 3/2 x - 2
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