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UNIT 3 REVIEW Alg

Total questions: 129

Worksheet time: 32hrs 15mins

Name
Class
Date
1.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
2.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
3.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
4.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
5.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
6.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3
7.
Find the slope given the points (-2,-9) and (-1,-3). 
a)
4
b)
-1/6
c)
-6
d)
6
8.
Find the slope given the points (-5,-3) and (2,4). 
a)
5/4
b)
1/7
c)
-1
d)
1
9.
Find the slope given the points (3,18) and (0,18). 
a)
undefined
b)
0
c)
22
d)
6
10.
Find the slope given the points (1,4) and (5,9). 
a)
5/4
b)
4/5
c)
-5/4
d)
2/3
11.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
12.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

13.
Find the rate of change
a)
3
b)
-3
c)
-1/3
d)
1/3
14.

Find the slope between the two points.

( 2, 7 ) and ( 5, 8 )

a)

1/3

b)

-1/3

c)

3

d)

-3

15.

What is the slope formula?

a)
b)
c)
d)
16.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

a)

1/2

b)

-1/2

c)

2

d)

-2

17.

What is the slope of the line that passes through the points (2, 1) and (8, 9)?

a)

4/3

b)

-4/3

c)

3/4

d)

-3/4

18.
a)

0/3

b)

-6/3

c)

-6/7

d)

6/3

19.
a)

2/12

b)

2/2

c)

-2/12

d)

-2/2

20.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

21.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
22.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
23.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
24.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
25.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
26.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
27.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
28.

Find the slope of the line through each pair of points.

( 3 , - 20 ) and ( 5, 8 )

a)

14

b)

5/6

c)

-1/5

d)

2

29.

Find the slope of the line through each pair of points.

( 6, - 12 ) and ( 15, - 3 )

a)

1

b)

-11/10

c)

61

d)

-2

30.

Find the slope of the line through each pair of points.

( 17, - 13 ) and ( 17, 8 )

a)

0

b)

4/2

c)

undefined

d)

-9

31.

Find the slope of the line through each pair of points.

( 1, - 19 ) and ( - 2, - 7 )

a)

50%

b)

9/4

c)

-4

d)

11

32.

Find the slope of the line through each pair of points.

( 20, 8 ) and ( 9, 16 )

a)

-16

b)

!/2

c)

0

d)

-8/11

33.

Find the slope of the line through each pair of points.

( 19, - 16 ), ( - 7, - 15 )

a)

-4

b)

-1/26

c)

7

d)

-11/7

34.

Find the slope of the line that passes through:

( - 4, 7 ) and ( - 6, - 4 )

a)

-11/2

b)

13/2

c)

3/10

d)

11/2

35.

Find the slope between the two points.

( 3, 7 ) and ( - 4, 2 )

a)

7/5

b)

5/7

c)

2/3

d)

2

36.

Find the slope between the two points.

( 4, 2 ) and ( 3, 8 )

a)

-1/6

b)

-6

c)

1/6

d)

6

37.

Find the slope between the two points.

( 2, 7 ) and ( 5, 8 )

a)

1/3

b)

-1/3

c)

3

d)

-3

38.

What is the slope between the two points?

( 4, - 3 ) and ( 9, 2 )

a)

1

b)

-1

c)

5

d)

-5

39.

What is the slope between the two points?

( 2, - 3 ) and ( 2, 4 )

a)

0

b)

undefined slope

c)

2

d)

4

40.

What is the slope between the two points?

( 6, 8 ) and ( - 3, 8 )

a)

0

b)

undefined slope

c)

8

d)

6

41.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
42.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
43.
Name the y intercept
a)
4
b)
-1
c)
1
d)
-4
44.
Name the slope
a)
3
b)
Zero slope
c)
Undefined
d)
1
45.
Name the slope
a)
Negative
b)
0 Slope
c)
Undefined
d)
Positive
46.
Name the slope
a)
7/1
b)
3/4
c)
-3/4
d)
-7/1
47.
Name the correct equation
a)
y=x+7
b)
y=-x
c)
y=x
d)
y=-x-7
48.
Name the slope
a)
2
b)
-2
c)
1/2
d)
1/2x
49.
Name the equation that is represented by the graph.
a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
50.
In the equation y=mx+b,
what does b represent?
a)
Slope
b)
x-intercept
c)
y-intercept
d)
Nothing significant 
51.
Name the slope.
a)
Zero slope
b)
1
c)
Undefined
d)
-1
52.
In the equation y=mx+b,
what does m represent?
a)
Nothing in particular
b)
The y-intercept
c)
The x-intercept
d)
Slope
53.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
54.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
55.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
56.
Write a equation:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y =12 x + 50
c)
y = 62 x
d)
x = 50 + 12y
57.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
58.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
59.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
60.
Find the y-intercept of the line that passes through the given  pair of points:  (-2, -3), (4, 3)
a)
b = 3
b)
b = 2
c)
b = 1
d)
b = -1
61.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
62.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
63.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
64.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

65.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
66.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
67.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

68.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

69.

Find the slope of the line that passes through points

(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

70.

Determine the slope and y-intercept of the line

y=32x+3y=\frac{3}{2}x+3  

a)

slope: 5 y-intercept: (0,3) 

b)

slope: 3/2 y-intercept: (0,3) 

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5) 

71.

Write the equation in slope intercept form of a line that passes through the given pair of points: (-2, -3), (4, 3)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

72.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=(1/4)x+3

d)

y= -4x+3

73.

Write the equation of the graph.

a)

y = 7/3x + 4

b)

y = -7/3x + 4

c)

y = 3/7x + 4

d)

y = -3/7x + 4

74.

Write the equation of a graph.

a)

y = -2/3x - 2

b)

y = 2/3x - 2

c)

y = 3/2x - 2

d)

y = -3/2x - 2

75.

Write the equation of the graph.

a)

y = 6/5x + 2

b)

y = -6/5x + 2

c)

y = 5/6x + 2

d)

y = -5/6x + 2

76.

Write the equation of the graph

a)

y = 3x + 2

b)

y = -3x + 2

c)

y = 1/3x + 2

d)

y = -1/3x + 2

77.
Write the equation of the line.
a)
y = x + 1
b)
y= x - 1
c)
y= -x + 1
d)
y= -x - 1
78.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
79.

Write the equation of the graph.

a)

y = 3/2x + 1

b)

y = -3/2x + 1

c)

y = 2/3x + 1

d)

y = -2/3x + 1

80.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
81.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
82.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
83.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
84.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
85.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
86.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
87.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
88.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
89.
Write the an equation for the graph shown.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
90.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
91.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
92.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
93.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
94.
Determine the slope and y-intercept from the following equation:   4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:  (0,-10)
c)
slope: -4   y-intercept:  (0,10)
d)
slope: 4   y-intercept:  (0,-10)
95.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
96.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
97.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
98.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
99.
Find the slope of the following equation.  (Hint: Get y alone first)
3x-6y=12
a)
3
b)
-3
c)
-1/2
d)
1/2
100.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
101.
What is the slope intercept form of the equation
4x - 8y = 72
a)
y = -4x + 72
b)
y = -4x - 9
c)
y = 1/2x - 9
d)
y = 4x + 9
102.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
103.

Solve the system of equations.

a)

(10, 3)

b)

(6, 3)

c)

(15, 3)

d)

No solution

e)

Infinite Solution

104.

Solve the system of equations.

a)

(11, 21)

b)

(3, 11)

c)

(11, -67)

d)

No solution

e)

Infinite solutions

105.

Solve the system of equations.

a)

(-7, 8)

b)

(-7, -6)

c)

(8, -7)

d)

No solution

e)

Infinite solutions

106.

Solve the system of equations.

a)

(-6, 30)

b)

(-2, 10)

c)

(44, 39)

d)

No solution

e)

Infinite solutions

107.

Solve the system of equations.

a)

(-6, 1)

b)

(0, 0)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

108.

Solve the system of equations.

a)

(3, 33)

b)

(7, 77)

c)

(2, 22)

d)

No solution

e)

Infinite solutions

109.

Which graph represents a system of equations with infinite solutions?

a)
b)
c)
d)

None of the above

110.

Which graph represents a system of equations with no solution?

a)
b)
c)
d)

None of the above

111.

Solve the system of equations

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

112.

Solve the system of equations.

a)

(-34, -17)

b)

(8, 4)

c)

(10, 20)

d)

No solution

e)

Infinite solutions

113.
-6x+5y=1
6x+4y=-10
a)
(1,-1)
b)
(0,-1)
c)
(1,1)
d)
(-1,-1)
114.
Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
115.
a)
(2, -2)
b)
(2, 2)
c)
(-2, 2)
d)
(-2, -2)
116.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
117.
3x  - 3y = 33
6x - 3y = 57
a)
(8,-3)
b)
(-3,8)
c)
(10,1)
d)
(10,-1)
118.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
119.
Solve by elimination
-12x-4y= -8 
  -6x-2y= -4
a)
no solution 
b)
(0,0)
c)
infinite solutions 
d)
(4,0)
120.
Solve by elimination:
7x-9y=29

7x+2y=-15
a)
(-4,-1)
b)
(-1.-4)
c)
(-1,4)
d)
(-1,6)
121.
Solve by elimination:
9x-4y=7

x-4y=-17
a)
(-1,5)
b)
(-7,5)
c)
(7,5)
d)
(3,5)
122.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
123.
Solve the system by elimination.  

−8x − 10y = 20
−8x − 6y = −4 
a)
Infinite number of solutions  
b)
(6, 5) 
c)
(−6, −5) 
d)
(5, −6) 
124.
Solve the system by elimination.  

−7x + 6y = 29
10x + y = 16 
a)
(1,6) 
b)
(−1,−3) 
c)
 (−3, −1) 
d)
(−1, 3) 
125.

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

a)

(4, −9)

b)

Infinite number of solutions

c)

(−9, 4)

d)

(4, 4)

126.
Solve the system by elimination.  

4x + 12y = −1
−3x − 9y = 0 
a)
(10, 1) 
b)
(−10, −1) 
c)
 (10, −1) 
d)
 No solution 
127.
-4x-2y=-12
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
128.

4x+8y=20

-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

129.

x - y=11

2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)