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IM1 Semester 1 Review

Total questions: 75

Worksheet time: 2hrs 23mins

Name
Class
Date
1.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
2.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 10^-4 
c)
5 x 103
d)
.5 x 103
3.
a)
exponential
b)
quadratic
c)
rational
d)
trig
4.

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

5.

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

6.

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

7.

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

8.

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

9.

What function family do I belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Linear Absolute Value

10.
What function family do I belong to?
a)
Linear
b)
Exponential
c)
Quadratic
d)
Linear Absolute Value
11.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Absolute Value
12.
What function family do I belong to?
a)
Linear
b)
Quadratic
c)
Exponential
d)
Linear Absolute Value
13.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
14.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
15.

5, 15, 45, 135 is a ...

a)

Geometric sequence with r = 3

b)

Geometric sequence with r = 1/3

c)

Arithmetic sequence with d = 10

d)

Arithmetic sequence with d = 3

16.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
17.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
18.

Write a formula for the following sequence:

5, 8, 11, 14, 17...

a)

an = 3n + 2

b)

an = 8 - 5n

c)

an = 5(3)n-1

d)

an = 5 + 3n

19.

Write a formula for the following sequence:

4, 12, 36, 108...

a)

an = 4(3n-1)

b)

an = 4(3n)

c)

an = 4+3n

d)

an = 4(3n)

20.

Write a formula for the following sequence:

2, 8, 14, ...

a)

an = 2 + 6n

b)

an = - 6 + 6n

c)

an = 6n - 4

d)

an = 4 - 6n

21.

What is the 100th term in the sequence an = 4n-12

a)

388

b)

40012

c)

-388

d)

100

22.
Given a1= 5 and d= 2 find a6
a)
13
b)
10
c)
15
d)
17
23.
Find the sequence 10, 20, 30, 40.........
a)
Multiply by 10
b)
Add 10  
c)
Multiply by 2
24.
Find the sequence;  2, 4, 6, 8,...........
a)
add 2
b)
multiply by 2
25.
A sequence that does not end.
a)
Infinite
b)
Finite
c)
recursive
d)
explicit
26.

256, 128, 64, 32, ...

What's next?

a)

24

b)

18

c)

16

d)

8

27.
Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0. 
b)
The predicted weight of the rat at birth. 
c)
The current weight of the rat. 
d)
The average increase in the rat's weight. 
28.
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
29.
The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:
a)
After 0 hours of driving, they went 61.93 miles.
b)
They drove at a speed of 61.93 miles per hour.
c)
They drove 61.93 miles total.
d)
They drove 61.93 hours total.
30.
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
31.
The police department tracked the number of ticket writers and number of tickets issued for the past 8 weeks.  The scatter plot shows the results.  Which statement is true?
a)
More ticket writers results in fewer tickets issued.
b)
There were 50 tickets issued every week.
c)
When there are 10 ticket writers, there will be 800 tickets issued.
d)
More ticket writers results in more tickets issued.
32.
A fifth grade class conducted a 5-minute experiment that involved heating time and water temperature.  The results of the experiment are represented in this line graph.  What prediction can be made based on the information gathered?
a)
The water temperature remains the same as the heating time continues.
b)
The water temperature decreases as the heating time continues.
c)
A pattern cannot be determined between these measurements.
d)
The water temperature increases as the heating time continues.
33.
The table shows the number of students on a basketball team and the number of free throws each student made during practice.  Which is the best description of this relationship? (Graphing the data on a coordinate grid may help.)
a)
Positive linear
b)
No relationship
c)
Negative linear
d)
Quadratic
34.
The scatter plot shows the number of absences in a week for classes of different sizes.  Trevor concluded that there is a positive correlation.  Which statement best describes why Trevor's conclusion was incorrect.
a)
The largest class does not have the most absences.
b)
The smallest class does not have the least number of absences.
c)
The data show no relationship between class size and number of absences.
d)
The data show a negative relationship between class size and number of absences.
35.
This scatterplot could show the relationship between which two variables?
a)
speed of an airplane (x) vs. distance traveled in one hour (y)
b)
outside air temperature (x) vs. air-conditioning costs (y)
c)
age of an adult (x) vs. height of an adult (y)
d)
distance traveled (x) vs. gas remaining in the tank (y)
36.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
37.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
38.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
39.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
40.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
41.

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

42.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

43.

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

44.

Describe the relationship between the variables.

a)

A) Weak negative correlation

b)

B) Moderate negative correlation

c)

C) Moderate positive correlation

d)

D) Strong negative correlation

45.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
46.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
47.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
48.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
49.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
50.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
51.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
52.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
53.
275 feet in 10 seconds =
a)
27.5 feet per second
b)
2.75 feet per second
c)
275 feet per second
d)
2,750 feet per second
54.

Bryce pays $14 for 8 pounds of strawberries. What does he pay per pound?

a)

$14 for 8 pounds

b)

$1.75 per pound

c)

$0.57 per pound

d)

$1.70 per pound

55.

Kim traveled 450 miles in 6 hours. What is the unit rate?

a)

75 miles per hour

b)

0.013 miles per hour

c)

750 miles per hour

d)

13 miles per hour

56.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

57.
If h(x) = -5x + 7,
Evaluate 6h(2).
a)
-2
b)
3
c)
-18
d)
-3
58.
If h(a) = 3 - 2x2, find h(-3).
a)
33
b)
21
c)
39
d)
-15
59.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
60.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
61.

Is this mapping a function and how can you tell?

a)

Yes its a function cause all the numbers have lines

b)

No it's not a function because there a 5 in both ovals

c)

No it's not a function because the x value 5 has 2 outputs.

d)

No it's not a function because the y value 5 has 2 inputs.

62.

Is this table a function and how can you tell?

a)

Yes its a function because there are not variables for missing numbers

b)

No it's not a function because the y value 4 repeated

c)

No it isn't a function because the x value 2 is repeated

d)

No it's not a function because the x value 5 has 2 outputs.

63.

What is the input?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

64.

What is the output?

a)

0, 4, 10, 12

b)

1, 2, 4, 5, 10, 12

c)

0, 4, 10, 4, 12

d)

1, 2, 5

65.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
66.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
67.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
68.
-2x-7+3x=10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
69.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
70.
2x + 3 = 2x + 7
a)
0
b)
4
c)
no Solution
d)
All real numbers
71.
7x+4y =12 
x + 2y = -4
a)
(-4,4)
b)
(4,4)
c)
(4,-4)
d)
(-4,-4)
72.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
73.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
74.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
75.

Solve the system of inequalities by graphing.

a)
b)
c)
d)

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