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Algebra Q1 Review

Total questions: 75

Worksheet time: 3hrs 37mins

Name
Class
Date
1.
3(x - 5) + 1 = 4
a)
x = 3
b)
x = 1
c)
x = 6
d)
x = 5
2.
Solve for x.
a)
55
b)
60
c)
15
d)
35
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.
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.
5.
a)
Function
b)
Not a Function
6.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
7.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
8.
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
9.

The trade-in value, V, of a certain model of automobile can be determined using the function V(x) = -0.25x +25,000, where x is the number of miles driven. Which of the following statements is the best interpretation of the slope?

a)

The value of the car increases as the number of miles driven increases.

b)

The selling price of the car when it is new is $25,000.

c)

The trade-in value of the car increases $.25 for every additional mile driven.

d)

The trade-in value of the car decreases $.25 for every additional mile driven.

10.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
11.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
12.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
13.

Joel knows that there is a relationship between the height of the hot air balloon, and the amount of time that the balloon has been in the air. Identify the independent quantity in this situation.

a)

The hot air balloon

b)

The height of the hot air balloon

c)

The time that the hot air balloon has been in the air.

d)

Joel

14.

Adriana wants to buy chocolate candy bars for all of her classmates. Each bar costs $1.50. Identify the dependent quantity in this situation.

a)

The number of candy bars bought.

b)

The total amount of money spent.

c)

Adriana

15.

Discrete or continuous data?

a)

Discrete

b)

Continuous

16.

Discrete or continuous data?

a)

Discrete

b)

Continuous

17.

what type of graph is this?

a)

Large graph

b)

Happy graph

c)

Continuous graph

d)

Discrete graph

18.
When graphing a discrete function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph discrete functions
d)
There is no such thing as a discrete function
19.
When graphing a continuous function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph continuous functions
d)
There is no such thing as a continuous function
20.

How would you say h(n)

a)

n of h

b)

h of n

c)

h times n

21.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
22.

To write y = ⅔x - 8 in function notation, you should

a)

replace the x with f(x)

b)

replace the y with f(x)

c)

solve for x

d)

find the slope and y-intercept

23.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

e)

None of the above

24.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

e)

None of the above

25.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

e)

None of the above

26.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

e)

None of the above

27.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

e)

None of the above

28.

What function family do I belong to?

a)

Exponential

b)

Linear

c)

Quadratic

d)

Absolute Value

e)

None of the above

29.
a)

Exponential

b)

Linear

c)

Quadratic

d)

Absolute Value

e)

None of the above

30.

What function family do I belong to?

a)

Absolute Value

b)

Linear

c)

Quadratic

d)

Exponential

e)

None of the above

31.

Identify the function family for:

y = 7x2 - 4x + 4

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

e)

None of the above

32.

What function family do I belong to?

a)

Quadratic

b)

Absolute Value

c)

Linear

d)

Exponential

e)

None of the above

33.

Determine whether the graph represents a linear function, a quadratic function, an exponential function, a linear absolute value function, or a linear piecewise function.

a)

linear function

b)

quadratic function

c)

exponential function

d)

linear absolute value

e)

linear piecewise function

34.
List the types of intervals that the graph demonstrates in order.
a)
decreasing, constant, increasing, constant
b)
increasing, decreasing, constant
c)
increasing, constant, increasing, constant
d)
increasing, constant, decreasing, constant
35.

Does this function have an absolute maximum, minimum, or neither.

a)

absolute maximum

b)

absolute minimum

c)

neither

36.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
37.
Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }
a)
Arithmetic
b)
Geometric
c)
Neither
38.
What is the common ratio of this sequence?
{2, 10, 50, 250, ... }
a)
1,250
b)
5
c)
10
d)
50
39.
Dividing by 12 is the same as ...
a)
× 12
b)
÷ 1/12
c)
× 1/12
d)
+ 12
40.
What is the common difference in this sequence?
{48, 32, 16, 0, ... }
a)
1/2
b)
2
c)
-8
d)
-16
41.
Dividing by 5 is the same as...
a)
× 5
b)
÷ 1/5
c)
- 5
d)
× 1/5
42.
What is the common ratio in this sequence? 
{96, 48, 24, 12, ... }
a)
1/2
b)
2
c)
12
d)
24
43.

Find the 10th term of this sequence:

{96, 48, 24, 12, ... }

a)

3/16

b)

1/2

c)

6

d)

3

44.

What is the 38th term of this sequence?

{26, 22, 18, 14, ... }

a)

-4

b)

10

c)

-122

d)

174

45.
What are the first three terms of the sequence defined by the following equation?
an = 7 + (n - 1)5
a)
7, 35, 175
b)
7, 2, -3
c)
12, 17, 22
d)
7, 12, 17
46.

Is this the graph of an arithmetic or a geometric sequence?

a)

Arithmetic

b)

Geometric

47.

Is this a graph of an arithmetic or a geometric sequence?

a)

Arithmetic

b)

Geometric

48.
Which kind of sequence has a common difference?
a)
Arithmetic
b)
Geometric
49.
The next term of the series 11,8,5,2 is...
a)
-1
b)
-2
c)
1
d)
2
50.
What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?
a)
76, 70, 64, 58
b)
76, 82, 88, 94
c)
70, 64, 58, 52
d)
82, 88, 94, 100
51.
Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?
a)
Geometric
b)
Arithmetic
c)
Both
d)
Neither
52.
What is a5 in the sequence defined as follows?
an = 5 ⋅ 2(n-1) 
a)
a5 = 160
b)
a5 = 40
c)
a5 = 10
d)
a5 = 80
53.
Find the 16th term.
a)
16
b)
31
c)
25
d)
35
54.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
55.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
56.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
57.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

58.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

59.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

60.

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

61.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

A) The more books students read, the lower their English grade.

b)

B) The more books students read, the higher their English grade.

c)

C) The fewer books students read, the higher their English grade.

d)

D) No relationship exists between the number of books students read and their English grades.

62.
a)
Positive, strong
b)
Positive, weak
c)
Negative, strong
d)
Negative, weak
63.
a)
Positive, strong
b)
Positive, weak
c)
Negative, strong
d)
Negative weak
64.
What is the y-intercept in the following equation:  y= -5 - 4x
a)
-4
b)
-4x
c)
5
d)
-5
65.
What is the slope in the following equation:  y=6 - 2/3x
a)
2/3
b)
6
c)
-6
d)
-2/3
66.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
67.
When evaluating data on a scatter plot, what can be used to make predictions about the future?
a)
interpoation
b)
extrapolation
c)
correlation coefficient
d)
causation
68.
What is the line of best fit? (Ignore the x = 30, y = ? point.)
a)
f(x) = 1.82 + 5x
b)
cannot be determined
c)
f(x) = 5.02 + 1.82x
d)
f(x) = 4.2 + 1.1x
69.
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
70.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the least-squares line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
71.
Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won.  The graph shows the results of the data.  Based on the linear regression equation y = 3.52 + 3.14x, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?  
a)
about 24
b)
about 12
c)
about 8
d)
about 18
72.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y= 10 + 3x

What does the y-intercept of the graph of this equation represent?

a)

The fee paid for zero visits.

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

73.
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
74.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
75.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1

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