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Algebra 2 9 Week TEST

Total questions: 67

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
2.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
3.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
4.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
5.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
6.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
7.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
8.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
9.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
10.
What is the slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
11.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
12.
What is the Slope?
a)
Positive
b)
Negative
c)
Zero
d)
No Slope
13.
Find the slope.
a)
-2
b)
2
c)
1/2
d)
-1/2
14.
Tell whether the table represents a linear or non-linear relationship.  If it is linear, state the rate of change.
a)
Linear    -2/3
b)
Linear  2/3
c)
Linear   -3/2
d)
Not linear
15.
Find the slope.
a)
2/5
b)
-2/5
c)
5/2
d)
-5/2
16.
Tell whether or not the table shows a proportional linear relationship.  If so, tell the constant of proportionality. 
a)
Proportional   2/5
b)
Proportional   5/2
c)
Proportional   5
d)
Not Proportional
17.

What is the slope-intercept form of the equation of a line?

a)

y=yx+b

b)

y=mx+b

c)

x=yx+b

d)

x=xy+b

18.

What does the b mean in y=mx+b?

a)

Slope

b)

Nothing

c)

x-intercept

d)

y-intercept

19.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
20.

What is the slope represented in the table?

a)

slope: 12\frac{1}{2}

b)

slope: 22

c)

slope: −12-\frac{1}{2}

d)

slope: −2-2

21.

What is the Slope represented in this table?

a)

slope: −14-\frac{1}{4}

b)

slope: −4-4

c)

slope: 14\frac{1}{4}

d)

slope: 44

22.
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
23.

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  

24.

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  

25.

what is the slope of the following 12x - 6y = 30

a)

2

b)

-2

c)

12

d)

-12

26.
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
27.
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)
28.
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
29.

what is the slope of y = 4 - 6x

a)

4

b)

6

c)

-6

d)

-4

30.

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

a)

add 4y to both sides

b)

subtract 2x from both sides

c)

add 2x to both sides

d)

divide by -4

31.
A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. Find the amount of pay for 31 hours of work. 
a)
$3813
b)
$620
c)
$190.65
d)
$4.96
32.

Identify which equations show direct variation and which do not.

Categorize the following

y=2xy=2x  

y=13xy=\frac{1}{3}x  

y=3x−4y=3x-4  

y=−6xy=-6x  

y=xy=x  

y=x2y=x^2  

y=4−xy=4-x  

y=7y=7  

Direct Variation
Not Direct Variation
33.

Match each direct variation equation to the constant of variation, k.

a)

y=−2xy=-2x

1.

-2

b)

y=3xy=3x

2.

3

c)

y=14xy=\frac{1}{4}x

3.

14\frac{1}{4}

d)

y=−5xy=-5x

4.

-5

e)

y=2xy=2x

5.

2

34.

Does the given graph show a direct variation?

a)

Yes

b)

No

35.
What does the Direct Variation Equation look like?
a)
y= kx
b)
y = mx + b
c)
y = b
d)
y = x
36.

Do x and y show direct variation?


y = 2x + 3

a)

Yes

b)

No

37.

Is this the graph of a direct variation?

a)

Yes

b)

No

38.

Which is an example of direct variation?

a)

xy = 10

b)

y = 2x\frac{2}{x}  

c)

y = 5x

d)

2y\frac{2}{y}  = x

39.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
40.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
41.
a)
Function
b)
Not a Function
42.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
43.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
44.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
45.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
46.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
47.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
48.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
49.
Which of these is NOT the same
a)
Range
b)
Input
c)
Dependent Value
d)
Y-Value
50.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
51.
The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?
a)
f(t)=0.6t+6.2
b)
f(t)=t+6.8
c)
f(t)=6.2-0.6t
d)
                                          f(t)=6.2t+0.6
52.

What is the slope of the line, in the standard (x,y) coordinate plane, that is parallel to x + 5y = 9 ?

a)

-5

b)

-1/5

c)

1/5

d)

9/5

e)

9

53.

Which equations have a rate of change (slope) greater than 1?

a)

y=2x+1y=2x+1

b)

y=5x−2y=5x-2

c)

y=12x+4y=\frac{1}{2}x+4

d)

y=32x−7y=\frac{3}{2}x-7

54.
Convert the standard form equation into slope-intercept form.
x + 5y = -25
a)
y = -⅕x - 5
b)
y = -x - 5
c)
x = 20
d)
y = 27, 239, 430
55.
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
56.
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
57.
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
58.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
59.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1 
60.
What is the correct equation in 
Slope-Intercept Form?
(y = mx +b)
a)
y = x
b)
y = x + 1
c)
y = -x 
d)
y = -x + 1
61.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
a)
y = -1/3x + 3
b)
y = 1/3x - 3
c)
y = -1/3x - 3
d)
y = 1/3x + 3 
62.
#4 Which graph is correct for y = -¾x + 1?
a)
A
b)
B
63.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

64.

Write the following equation in slope intercept form:

y + 9 = 3(x - 1)

a)

y = 3x + 12

b)

y = 3x - 12

c)

y = 3x - 6

d)

y = 3x + 6

65.

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

66.

Write the equation of a line with slope m = 3 that goes through the point (1,-5)

in point - slope form

a)

y−5=3(x+1)y-5=3\left(x+1\right)  

b)

y+5=3(x−1)y+5=3\left(x-1\right)  

c)

y−3=−5(x+1)y-3=-5\left(x+1\right)  

d)

y−1=3(x+5)y-1=3\left(x+5\right)  

67.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)