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Name _____________________________
Date ___________________

Linear Equations
(Answer ID # 0342614)
State the domain and range for each. Is the relation a function?
1.   {(7.6, -0.2), (8.8, -0.2),
(2.3, -4.6)}
2.   {(2.4, -3.1), (4.6, -3.4),
(-2.9, -1.1), (8.3, -3.1)}
3.   {(3, 4), (-3, 4),
(4, -4), (-1, -2)}

Complete.
4.   f(x) = 7x3 + 13x4 - 3x2
find f(-6)
5.   f(x) = -3x + 12
find f(-1)
6.  
f(x) =
-8 - 9x

4 + 3x

find f(-9)

Complete.
7.   f(x) = 13x2 - 15x - 14
g(x) = 15x3 + 14x2 - 15x + 12

find f(3) × f(10) + f(-7) × g(9)
8.   f(x) = -15x - 10
g(x) = 12x + 10

find f(f(7))
9.   f(x) = -10x2 + 10x + 14
g(x) = 11x + 11

find f(17)-g(17)

 

Write each equation in standard form.
10.  
-4

9
  +  
2

9
y  = x
11.  
y =  
-1

2

Graph each equation.
12.  
y =  x   -  8
13.   -2y = 6 + 6x

Graph each equation.
14.  
x =  
3

5
  -  
7

5
y
15.   7x + 12y = -8

 

Write the slope of the line passing through the two points.
16.  
(7,-5), (0,7)
17.  
(-5,2), (6,-7)
18.  
(-8,5), (5,-5)

Find the intercepts of the line.
19.  
y =  -x   +  9
20.   3x - y = -23
21.   5x - y = -6

Graph.
22.   A line that passes through the point (-2, -6).
slope=  -1
23.   A line that passes through the point (-5, 0).
slope=  
3

5

 

Write an equation of the line that contains the given point and has the given slope.
24.  
(6, 5),   slope =  -3
25.  
(0, 0),   slope =  -2
26.  
(-4, -5),   slope =  -1

Write an equation of the line that passes through the given two points.
27.  
(-7,8), (-4,11)
28.  
(7,0), (27,-60)
29.  
(2,3), (8,0)

Find the slope and the y-intercept of the line.
30.   5x + 3y = 25
31.   -y = 36 + 5x
32.   7x - 8y = -2

 

Write the slope-intercept form of the equation.
33.   5x + 12y = 13
34.   12y = -35 + 7x
35.   -y = -3 + 9x

Write an equation of the line.
36.  
y-intercept=  10     x-intercept=  2
37.  
y-intercept=  -20     x-intercept=  5

State whether the lines are parallel, perpendicular, or neither.
38.  
5x - y

16
  =  
-37

8

-27y = 642 - 15x
39.   3x + 13y = 375
y =  
13

3
x   +  111
40.  
x =  
-17

11
y  +  
219

11

17x + 11y = 33

 

Complete.
41.   Write an equation of a line that passes through the point (35, 12) and is perpendicular to the following equation:
12y = 319 - 5x
42.   Write an equation of a line that passes through the point (27, 29) and is perpendicular to the following equation:
y =  3x   -  52
43.   Write an equation of a line that passes through the point (-21, -20) and is parallel to the following equation:
3x - 11y = 157

Sketch the graph of the inequality.
44.  
y     x   -  8
45.  
2

3
  +  
1

3
y   >  x

Sketch the graph of the equation.
46.   y = |3x - 2| + 1
47.  
y = |
1

3
x| - 1

 

Match the equation with its graph.
2x + y = -115x + 6y = 284x - 7y = -16

48.  


49.  


50.  



Match the equation with its graph.
y =  
1
3
x   -  
11
3
y =  -4x   -  33
y =  -3x   -  30

51.  


52.  


53.  



Write an equation in standard form for each line.
54.  


55.  


56.  



 

Write an equation in slope-intercept form for each line.
57.  


58.  


59.  



Match the equation with its graph.
4x - 5y
4
  =  4
-2  -  2y  = x
-1  -  1y  = x

60.  


61.  


62.  



 

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