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WorksheetsAlgebra 1 Pre-Assessment
Total questions: 85
Worksheet time: 2hrs 24mins
Name
Class
Date
1.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
2.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
3.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
4.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
5.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
6.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
7.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19
8.
How many total did not attend the school play?
a)
63
b)
15
c)
78
d)
221
9.
What number should go in the blue box?
a)
21
b)
135
c)
19
d)
22
10.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
11.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
12.
Of the times when the forecast called for rain, what is the percentage that it actually rained?
a)
About 90%
b)
About 50%
c)
About 70%
d)
About 80%
13.
What is the relative frequency for selecting a teen given that the person likes chocolate?
a)
.112
b)
.267
c)
.164
d)
.056
14.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
15.
21. How many students are represented by the histogram?
a)
Cannot be determined
b)
9
c)
31
d)
35
16.
How many people have more than four books in their desk?
a)
7
b)
12
c)
5
d)
8
17.
Find the Missing Value that would make the mean of the data set 25
a)
22
b)
23
c)
24
d)
26
18.
The number of miles that Jenna cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
19.
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
20.
Calculate the range of the following
2, 5, 8, 3, 13, 5
a)
11
b)
13
c)
5
d)
8
21.
Calculate the interquartile range of the following data
17, 18, 18, 19, 20, 21, 21, 23, 25
a)
3
b)
4
c)
5
d)
8
22.
Find the mean with and without the outlier. Expain how the outlier affects the mean?
92, 68, 88, 80, 89, 81
a)
The outlier increases the mean by 3.
b)
The outlier decreases the mean by 4.
c)
The outlier decreases the mean by 3.
d)
The outlier has no affect on the mean.
23.
What is the IQR?
a)
5.5
b)
4
c)
4.5
d)
6
24.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
25.
Which club has the smaller spread?
a)
Cruisers
b)
Car Hops
26.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
27.
Which person has the higher upper extreme and what is that number?
a)
Irene, 90 minutes
b)
Janelle, 80 minutes
c)
Irene, 80 minutes
d)
Janelle, 70 minutes
28.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
29.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
30.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
31.
Solve the proportion:
a)
15
b)
5
c)
10
d)
12
32.
Fill in the missing value.
a)
14
b)
17
c)
-16
d)
0
33.
Which equations fits the table?
a)
y = 6x
b)
y = x + 6
c)
y = -x + 6
d)
y = x - 6
34.
What type of function does this table represent?
a)
Linear
b)
Exponential
c)
Neither
35.
Given the following table, write the equation.
a)
y = 9x + 3
b)
y = 3x + 12
c)
y = 3x + 9
d)
y = 1x + 12
36.
What is the equation of this table?
a)
y = 3x(4)
b)
y = 4x(3)
c)
y = 3x + 4
d)
y = 4x + 3
37.
Is this table a function or not a function?
a)
Function
b)
Not a Function
38.
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)
39.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
40.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
41.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
42.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
43.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
44.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
45.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
46.
f(x) = 2x2 + 12x + 16
What is the average rate of change of f(x) from f(-3) and f (-2)?
What is the average rate of change of f(x) from f(-3) and f (-2)?
a)
2
b)
1/2
c)
-2
d)
-1/2
47.
Find the average rate of change for the function over the indicated interval
a)
0
b)
-9
c)
-8
d)
8
48.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
49.
What is the y-intercept in the equation?
y = 5x - 4
a)
(0,5)
b)
(0,-4)
c)
(-4,0)
d)
(5,0)
50.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
51.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
52.
What is the DOMAIN?
a)
[0, ∞)
b)
(-∞, 0)
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
53.
What is the RANGE?
a)
all real numbers
b)
[1, ∞)
c)
(-∞, 1]
d)
none of these
54.
Nellie has $24 to spend on friendship bracelets. Each bracelet costs $4. The function f(b) = 24 - 4b represents the amount of money Nellie has left, f(b), after purchasing b bracelets. What is the range for this situation?
a)
b)
c)
d)
55.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend 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
56.
Which of the following would be the most accurate equation for the scatter plot?
a)
y = -2x - 7
b)
y = -x + 7
c)
y = 3x + 7
d)
y = 15x + 7
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.
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
59.
r=-0.89
a)
Strong positive
b)
Weak positive
c)
Strong negative
d)
Weak negative
60.
Write in vertex form
f(x)= 3x2-6x +12
f(x)= 3x2-6x +12
a)
f(x)= (x-2)2 + 3
b)
f(x)= (x+1)2 + 3
c)
f(x)= 3(x-1)2 + 3
d)
f(x)= 3(x-1)2 + 9
61.
Pick a function that best models the following situation: A babysitter getting paid hourly.
a)
Exponential
b)
Linear
c)
Quadratic
d)
Neither
62.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
63.
Solve using Zero-Product Property
(x-11)(5x+1) = 0
(x-11)(5x+1) = 0
a)
x = 11 or x = -1/5
b)
x = -11 or x = -1/5
c)
x = 11 or x - 1/5
d)
x = -11 or x = 1/5
64.
At what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t2 + 8t + 24?
h = -16t2 + 8t + 24?
a)
8
b)
1
c)
1/2
d)
1/4
65.
A diver is standing on a platform above the pool. He jumps form the platform with an initi8al upward velocity of 8 ft/s. Use the formula h t = −16 t2 + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?
a)
.25 ft
b)
24 ft
c)
25 ft
d)
8 ft
66.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
67.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
68.
Where is the function decreasing?
a)
y≤2
b)
y≥2
c)
y≤4
d)
y≥4
69.
f(x)=4x+5
f(4)=
f(4)=
a)
21
b)
-11
c)
-31
d)
25
70.
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?
a)
.08
b)
1.08
c)
.92
d)
8
71.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
72.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
73.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
74.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
75.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
76.
Which ordered pair(s) is a solution to the given system?
a)
(5, -5)
b)
(0,0)
c)
(-5, -2)
d)
(3,-3)
77.
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
78.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
79.
Solve for x:
ax + b = c
ax + b = c
a)
x = ac - ab
b)
x = (c + b)/a
c)
x = (c - b)/a
d)
x = (c - a)/x
80.
f(x+2)
a)
Two up
b)
Two down
c)
Two left
d)
Two right
81.
f(x)+2
a)
Two up
b)
Two down
c)
Two left
d)
Two right
82.
f(x)-2
a)
Two up
b)
Two down
c)
Two left
d)
Two right
83.
Factor:
x2 + 5x - 24
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
84.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
85.
What is the factored form of 25x2-9
a)
(5x+3)(5x-3)
b)
(x+5)(x-3)
c)
(x-3)(x+5)
d)
(5x+3)(3x+5)
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