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Line Equations Gateway

 1. 

Using the same relationship between x and y as the table, what is the value of y when x is 12?
x
y
0
-5
2
-3
-2
-7
4
-1
-4
-9
A)
-1
B)
2
C)
7
D)
5
 

 2. 

The table shows the relationship between the cost, c, in dollars of a taxi ride and the number, t, of minutes the ride lasts.

t
5
10
15
20
c
4.75
6.5
8.25
10

Which equation algebraically represents this data?
A)
c = 3 + 0.35t
B)
c = 2.75 + 0.5t
C)
c = t - 0.25
D)
c = 4 + 0.15t
 

 3. 

In which table are all the points represented by the equation      mc003-1.jpg?
A)
mc003-2.jpg
C)
mc003-4.jpg
B)
mc003-3.jpg
D)
mc003-5.jpg
 

 4. 

The chart show how the wholesale price of an item, p, depends on the cost of the materials needed to produce the item, m.  Which equation represents this linear relationship?
m
$0.50
$1.00
$1.50
$2.00
p
$5.00
$5.00
$6.00
$7.00
A)
p = m + 3.5
B)
p = 2m + 3
C)
p = 3m + 2.5
D)
p = 4m + 2
 

 5. 

Which equation fits the data in the table?
x
-1
0
1
2
y
-3
-1
1
3
A)
mc005-4.jpg
B)
mc005-5.jpg
C)
mc005-6.jpg
D)
mc005-7.jpg
 

 6. 

Which equation is true for all the values in the table?
x
y
-2
-11
2
1
4
7
0
-5
A)
mc006-4.jpg
B)
mc006-5.jpg
C)
mc006-6.jpg
D)
mc006-7.jpg
 

 7. 

Lines l and m contain the points shown.









Which of the following points must lie on line m in order for lines l and m to be parallel?
mc007-1.jpg
A)
(0, 0)
B)
(0, 1)
C)
(1, 1)
D)
(4, 1)
 

 8. 

The table gives the average per capita income, d, in a region of the country as a function of the percent unemployed, u.

u
1
2
3
4
d
22,500
22,000
21,500
21,000

Which equation represents this data algebraically?
A)
mc008-4.jpg
C)
mc008-6.jpg
B)
mc008-5.jpg
D)
mc008-7.jpg
 

 9. 

Which is an equation of the line that passes through the points (5, 15) and (10, 20)?
A)
y = x + 10
B)
y = x - 30
C)
y = x + 30
D)
y = x + 15
 

 10. 

What is the slope of the line represented by –2x + 6y = –9?
A)
mc010-5.jpg
B)
mc010-6.jpg
C)
mc010-7.jpg
D)
2
 

 11. 

Which is an equation of a line that has a slope of mc011-1.jpg and contains the point (8, 1)?
A)
y = 8xmc011-12.jpg
B)
y = mc011-13.jpgx + mc011-14.jpg
C)
y = mc011-15.jpgx + 1
D)
y = x + 8
 

 12. 

Which equation is the slope-intercept form of  –5x + 4y = 4?
A)
y = mc012-7.jpgxmc012-8.jpg
B)
y = mc012-9.jpgx + mc012-10.jpg
C)
y = mc012-11.jpgx mc012-12.jpg
D)
mc012-13.jpg
 

 13. 

Which is an equation of the line with slope mc013-1.jpg that passes through the point (4, 4)?
A)
y = 4xmc013-12.jpg
B)
y = mc013-13.jpgx + mc013-14.jpg
C)
y = mc013-15.jpgx + 4
D)
y = 4x + 4
 

 14. 

What is the slope of the line  y = 2x – 5 ?
A)
–5
B)
mc014-1.jpg
C)
5
D)
2
 

 15. 

What is the slope of the line 6y = –9x + 3?
A)
–9
B)
mc015-4.jpg
C)
mc015-5.jpg
D)
mc015-6.jpg
 

 16. 

The total number, n, of employees at a company depends on the companys yearly gross profits according to the equation n = 12p + 16, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 25 million dollars to 8 million dollars, what was the decrease in the number of employees?
A)
204
B)
220
C)
112
D)
316
 

 17. 

What is the slope of the line through (1, 1) and (–5, –4)?
A)
mc017-3.jpg
B)
mc017-4.jpg
C)
mc017-5.jpg
D)
mc017-6.jpg
 

 18. 

Which is an equation for the line that passes through the origin and has a slope of mc018-1.jpg?
A)
y = mc018-4.jpgx
B)
y = mc018-5.jpgx
C)
y = mc018-6.jpg
D)
x = mc018-7.jpg
 

 19. 

What is the slope of the line that passes through the points (4, –8) and (7, –8)?
A)
mc019-3.jpg
B)
mc019-4.jpg
C)
mc019-5.jpg
D)
Undefined
 

 20. 

Which is a zero of the function defined by the following equation?       f(x) = 3x 21?
A)
21
B)
–18
C)
7
D)
–7
 

 21. 

Line l has slope 4 and goes through (9, –1).  Which is one form of the equation for line l ?
A)
y = 9x + 4
B)
y = 4x – 37
C)
y = –x + 4
D)
y = 4x + 35
 

 22. 

Felicia plotted the points (–5, 6)  and (14, –12) and then drew a line through these two points. What is the slope of the line she drew?
A)
mc022-3.jpg
B)
mc022-4.jpg
C)
mc022-5.jpg
D)
mc022-6.jpg
 

 23. 

What is the slope of the line represented by the following equation:  7x - y 8 = 0?
A)
–8
B)
mc023-1.jpg
C)
mc023-2.jpg
D)
7
 

 24. 

A school play cost $2,350 to produce. If tickets sold for $5.50 each, the profit, p, made on the play by selling x tickets is given by the equation shown.

      mc024-1.jpg
What is the slope of the line representing this equation?
A)
-2,350
B)
-427.27
C)
1
D)
5.5
 

 25. 

Which describes the graph of mc025-1.jpg ?  A line with
A)
a slope of 6 and a y-intercept of 1.
C)
a slope of –6 and a y-intercept of 1.
B)
a slope of 6 and a y-intercept of –1.
D)
a slope of –6 and a y-intercept of –1.
 



 
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