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Algebra 2 Chapter 2 Test

Total questions: 79

Worksheet time: 7hrs 35mins

Name
Class
Date
1.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
2.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
3.
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
4.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
5.
Is this a function? 
a)
Yes 
b)
No
6.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

7.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

8.
a)
Function
b)
Not a Function
9.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
10.
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. What is the constant of variation?
a)
k = 123
b)
k = 20
c)
k = 6.15
d)
k = 0.16
11.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

a)

yes, the constant of variation is 1/2

b)

yes, the constant of variation is 2

c)

no, there is constant of variation.

12.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

a)

yes, the constant of variation is 2

b)

yes, the constant of variation is 1/2

c)

no, there is no constant of variation

13.

The cost of paper varies directly with the number of reams bought. Suppose 2 reams cost $5.10. Write an equation that could be used to find the cost of x reams of paper.

a)

y= 5.10x

b)

y=2.55x + 2.55

c)

y = 2.55x

d)

2.55y = x

14.

Recall that the length a spring stretches varies directly with the amount of weight attached to it. A certain spring stretches 5 cm when a 10-gram weight is attached. Write a direct variation equation relating the weight x and the amount of stretch y.

a)

y = 0.5x

b)

y= 2x

c)

y= 5x + 10

d)

y= 2x +5

15.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
16.
A tutoring job pays $222 for ten hours of work.  If a tutor were to work for a total of thirty-five hours that week, how much will they make?
a)
$1.58
b)
$777
c)
$2
d)
$685
17.
On a treasure map, the actual distance is directly related to the scaled distance.  If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?
a)
27 cm
b)
675 cm
c)
529 cm
d)
32 cm
18.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
19.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
20.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
21.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
22.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
23.
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
24.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
25.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
26.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
27.
Which equation matches the graph? (Click me to see the image)
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
28.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

29.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

30.

What is the slope of the line that passes through these two points (-5, 7) and (6, 4)?

a)

3/11

b)

-3/11

c)

-1/3

d)

1/3

31.

What would the slope of the graph be?

a)

Positive

b)

Negative

c)

0

d)

Undefined

32.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

33.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

34.

What kind of slope does the graph have?

a)

Positive

b)

Negative

c)

0

d)

Undefined

35.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
36.
What is  the value of m in the following equation
y-2=-5(x-3)
a)
-5
b)
2
c)
3
d)
(2,3)
37.
Write equation of a line in point slope form that passes through (3,8) and has a slope of 5/7
a)
y-8=5/7(x-3)
b)
y=5/7x+8
c)
y-3=5/7(x-8)
d)
y-y1= m(x-x1
38.
What is point slope form of equation of line
point  ( 7, 10)    m=-2/7
a)
y-10=-2/7(x+7)
b)
y-10=-2/7(x-7)
c)
y+10= -2/7(x+10)
d)
y -10=-2/7x+2
39.
What point does this line pass through?
y-2=4/5(x-3)
a)
(4/5)
b)
(2,3)
c)
(3,2)
d)
(-3,-2)
40.
What point is on the line?
y+4=-1/2(x+1)
a)
(1,4)
b)
(4,1)
c)
(1,2)
d)
(-1,-4)
41.
Wh at point is on the line?
y+5=3/7(x-3)
a)
(5, -3)
b)
(3,-5)
c)
(5,3)
d)
(-3,5)
42.

Describe the relationship between the variables.

a)

A) Weak positive correlation

b)

B) Weak negative correlation

c)

C) Strong positive correlation

d)

D) Strong negative correlation

43.

What type of correlation does this graph show?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

44.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
45.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
46.
Find the equation of the line of best fit for the given data
a)
y = 4.19 + 163.41x
b)
y = 4.19 - 163.41x
c)
y =163.41 - 4.19x
d)
y = -163.41+ 4.19x
47.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
48.
The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
49.

Describe the transformation(s). Select all that apply.

f(x)=∣x∣−3f\left(x\right)=\left|x\right|-3  

a)

Up 3

b)

Down 3

c)

Right 3

d)

Left 3

e)

Reflection over the x-axis

50.

Describe the transformation(s). Select all that apply.

g(x)=−∣x+9∣g\left(x\right)=-\left|x+9\right|  

a)

Up 9

b)

Right 9

c)

Left 9

d)

Down 9

e)

Reflection over the x-axis

51.

Describe the transformation(s). Select all that apply.

h(x)=4∣x−1∣h\left(x\right)=4\left|x-1\right|  

a)

Vertical Stretch (graph becomes steeper)

b)

Right 1

c)

Left 1

d)

Down 1

e)

Vertical Compression (graph becomes less steep)

52.

Describe the transformation(s). Select all that apply.

p(x)=−∣x+2∣−7p\left(x\right)=-\left|x+2\right|-7  

a)

Reflection over the x-axis

b)

Right 2

c)

Left 2

d)

Up 7

e)

Down 7

53.

Identify the location of the vertex.

f(x)=−∣x−3∣+8f\left(x\right)=-\left|x-3\right|+8  

a)

(3, -8)

b)

(-3, 8)

c)

(3, 8)

d)

(-3, -8)

54.

Identify the location of the vertex.

f(x)=12∣x+1∣−5f\left(x\right)=\frac{1}{2}\left|x+1\right|-5  

a)

(1, -5)

b)

(-1, -5)

c)

(-1, 5)

d)

(1/2, -5/2)

55.

Identify the location of the vertex.

f(x)=∣x−2∣f\left(x\right)=\left|x-2\right|  

a)

There is no vertex

b)

(0, -2)

c)

(-2, 0)

d)

(2, 0)

56.

Identify the location of the vertex.

f(x)=∣x∣+1f\left(x\right)=\left|x\right|+1  

a)

There is no vertex

b)

(0, 1)

c)

(1, 0)

d)

(0, -1)

57.

Identify the location of the vertex.

f(x)=∣x∣f\left(x\right)=\left|x\right|  

a)

There is no vertex

b)

(1, 1)

c)

(0, 0)

d)

(1, 0)

58.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
59.

What is the value of K?


f(x) = 4|x +2| - 3

a)

4

b)

2

c)

-3

d)

0

60.

Select all that apply. (May have more than one correct answer)


f(x) = |x - 6| + 2

a)

Horizontal translation right 6 units

b)

Horizontal translation left 6 units

c)

Vertical translation up 2 units

d)

Vertical translation down 2 units

61.

Select the correct set of transformations.


f(x) = 1/3 |x + 4| - 2

a)

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

b)

Horizontal translation right 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

c)

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation up 2 units

d)

Horizontal translation left 4 units

Vertical stretch by a factor of 3 units

Vertical translation down 2 units

62.
What is the equation of the graph below? You can click the picture to zoom in!
a)
f(x) = I x + 2 I 
b)
f(x) = I x  I + 2
c)
f(x) = I x  I - 2
d)
f(x) = I x - 2 I 
63.
What is the equation of the graph below? You can click the picture to zoom in!
a)
y = - | x + 2| + 4
b)
y = - | x - 2| + 4
c)
y = | x - 2 | + 4
d)
y = | x - 2| - 4
64.
Describe the transformation from the Absolute Value Parent Function.
a)
Shift up 4 units
b)
Shift down 4 units
c)
Shift left 4 units
d)
Shift right 4 units
65.
Describe the transformation from the Absolute Value Parent Function.
a)
Stretches more narrow, shifts right
b)
Stretches wider, shifts right
c)
Stretches more narrow, shifts left
d)
Stretches wider, shifts left
66.
Describe the transformation from the Absolute Value Parent Function.
a)
Stretches more narrow, shifts up 4 units
b)
Stretches more narrow, shifts down 4 units
c)
Compresses wider, shifts up 4 units
d)
Compresses wider, shifts down 4 units
67.
Describe the transformations of the absolute value equation.
a)
Flips to A shape, compresses wider, shifts right 1 unit
b)
Flips to A shape, compresses wider, shifts up 1 unit
c)
Flips to A shape, stretches more narrow, shifts right 1 unit
d)
Flips to A shape, stretches more narrow, shifts up 1 unit
68.

The vertex is a ___________for this graph.

a)

maximum

b)

minimum

69.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
70.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
71.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
72.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
73.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
74.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
75.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
76.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, -10)
c)
(-1, -1)
d)
(5, 20)
77.
What kind of line does this graph have?
a)
Dotted
b)
Solid
78.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(-10, 20)
c)
(3, 5)
d)
(0, -2)
79.
What kind of line does the graph have?
a)
Dotted
b)
Solid

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