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WorksheetsCollege Algebra Bonanza
Total questions: 95
Worksheet time: 3hrs 23mins
Name
Class
Date
1.
Find the slope of the line. Hint: think of rise/run
a)
-2
b)
2
c)
-1
d)
1
2.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
3.
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
4.
These two lines intersect at _____.
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4)
d)
No solution
5.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
6.
Which parent function matches the graph? (Hint: look at your purple sheet)
a)
f(x) = √(x)
b)
f(x) = ∛(x)
c)
f(x) = |x|
d)
f(x) = a⋅bx
7.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. Is this exponential growth or exponential decay?
a)
decay
b)
growth
8.
Solve for x and y. Hint: Graph these in Desmos!
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
9.
Solve for x and y. Hint: use substitution or Graph these in Desmos.
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
10.
Find f(0) if f(x) = 5x3 + 2x2 +3x
a)
3
b)
10
c)
-2
d)
0
11.
What is the solution to this system?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
12.
What is the degree of the polynomial function? Hint: use your red sheet.
P(x)=3x4-7x2-2x7-x+4
a)
4
b)
7
c)
2
d)
11
13.
Solve the system by elimination or using Matrices and Desmos
−4x − 4y = 0
4x + 4y = 0
a)
(−6, −4)
b)
Infinite number of solutions
c)
(−6, 10)
d)
(6, 4)
14.
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)
15.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
16.
Find A+B. (Ignore the matrix brackets in your answer since they were hard to type)
a)
8 10
8 1
8 1
b)
12 25
7 1
7 1
c)
10 30
0 1
0 1
d)
can't add two together because the rows dont match columns
17.
In Matrix R (pictured) what is the value of element R3,2
a)
8
b)
9.01
c)
6
d)
1
18.
Multiply. (Ignore the matrix brackets in your answer since they were hard to type)
a)
25
25
5
25
5
b)
-25
25
-5
25
-5
c)
-10
-10
-6
-10
-6
d)
10
10
6
10
6
19.
Subtract. (Ignore the matrix brackets in your answer since they were hard to type)
a)
-5
-8
3
10
-8
3
10
b)
-9
8
3
2
8
3
2
c)
5
-8
3
10
-8
3
10
d)
-5
8
3
2
8
3
2
20.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
21.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
22.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
23.
Solve the matrix using RREF
5x + 2y = -1
3x + 7y = 11
5x + 2y = -1
3x + 7y = 11
a)
(3, 4)
b)
(2, -1)
c)
(-1 , 2)
d)
(-3, 4)
24.
Calculate the determinant. Hint: use Desmos or a GC
a)
0
b)
none
c)
-32
d)
-8
25.
Find the determinant's value
a)
-18
b)
-23
c)
-2
d)
2
26.
Which isn't a function? Purple sheet here you come!
a)
A
b)
B
c)
C
d)
D
27.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
28.
What is the collection of input values in a function called?
a)
Range
b)
Output
c)
Domain
d)
Ordered Pair
29.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
30.
Will the inverse of this be a function? (Hint: think of the HLT)
a)
Function
b)
Not a Function
31.
Will the inverse of this be a function? Hint: Use the HLT.
a)
Function
b)
Not a Function
32.
Describe the transformation that occurred
p(x) = f(x + 3)
p(x) = f(x + 3)
a)
Right 3 units
b)
Less Steep
c)
Steeper
d)
Left three units
33.
Describe the transformation that occurred.
h(x) = f(x) + 2
h(x) = f(x) + 2
a)
up 2 units
b)
left 2 units
c)
steeper
d)
Less Steep
34.
Describe the transformation that occurred
t(x) = f(x) - 1
t(x) = f(x) - 1
a)
Right 1 Unit
b)
Down 1 Unit
c)
Less Steep
d)
Steeper
35.
Describe the transformation that occurred
s(x) = 7f(x)
s(x) = 7f(x)
a)
Less Steep
b)
Up 7 Units
c)
Over 7 Units
d)
Steeper
36.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
37.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
38.
(2x + 5y - z) + (-6x - 4y + 7z).
Combine Like Terms
Combine Like Terms
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
39.
Subtract: (3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
40.
Distribute: 5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
41.
Multiply/FOIL/Distribute: (x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
42.
Distribute / FOIL: (2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
43.
Factor:
x2 - 49
Hint: you can do this by hand our using a program in your GC
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
44.
What is the constant in the polynomial?
-2xyz + 3x2 - 2y2 - 6z2 + 32
-2xyz + 3x2 - 2y2 - 6z2 + 32
a)
-2
b)
3
c)
-6
d)
32
45.
Find the vertex
y=(x-4)²+6
Hint: use your knowledge of transformations
y=(x-4)²+6
Hint: use your knowledge of transformations
a)
(-4,6)
b)
(-4,-6)
c)
(4,6)
d)
(4,-6)
46.
Find the vertex
y=(x+5)²-2
y=(x+5)²-2
a)
(5,-2)
b)
(5,2)
c)
(25,-2)
d)
(-5,-2)
47.
Identify the zeros/x-intercepts/factors/roots/solutions
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
48.
State the number of REAL ZEROS for the function:
f(x) = 2x4 + 19x2 + 24
Hint: graph in Desmos or on a GC
f(x) = 2x4 + 19x2 + 24
Hint: graph in Desmos or on a GC
a)
0
b)
1
c)
2
d)
4
49.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
a)
x=-4, x=3, x=-2
b)
x=-4, x=3, x=2
c)
x=-4, x=-3, x=2
d)
x=4, x=3, x=2
50.
Select the equation that matches the graph.
Use your knowledge of zeros, multiplicity, and end behavior
Use your knowledge of zeros, multiplicity, and end behavior
a)
y=-(x+1)(x-2)(x-4)
b)
y=(x+1)2(x-3)(x-1)3
c)
y = 3x3 – 2x + 1
d)
y=(x+1)3(x-3)(x-1)2
51.
Where are the asymptotes?
a)
x=-3, y=1
b)
x=3, y =1
c)
x=-3, y =-1
d)
x=3 y=-1
52.
Where are the asymptotes?
a)
x=-1 y = -3
b)
x=1 y = -3
c)
x=-1 y =3
d)
x=1, y=3
53.
Find the vertical asymptote: f(x)=(x-2)/(x+5).
a)
x = -2/5
b)
-5
c)
x = -5
d)
x = 2
54.
Solve. Hint: multiply by the LCD
a)
x = 2
b)
x = 3/4
c)
x = 4
d)
x = 1/2
55.
Solve for x.
a)
2
b)
18/5
c)
26/5
d)
6
56.
Divide (x2 + 5x - 8) by (x + 3). What is the remainder?
Hint: think of synthetic division
Hint: think of synthetic division
a)
16
b)
12
c)
-14
d)
-16
57.
What is the value of 43?
a)
12
b)
7
c)
64
d)
16
58.
Solve for x: 5x=15,625
a)
x=3
b)
x=4
c)
x=5
d)
x=6
59.
Is this exponential growth or decay? Hint: Use your light green sheet
a)
Growth
b)
Decay
c)
Exponential
d)
Linear
60.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
c)
y=2x
d)
y= 3x/4
61.
If the number of illnesses at CHS doubles every week, and there were 4 sick students to begin with, write an equation relating y (the number of new illnesses) and x (the number of weeks).
a)
y=(2)x
b)
y=2(4)x
c)
y=4(2)x
d)
y=4x
62.
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(1-.3)x
b)
y=30(5000)x
c)
y=5000(1+.3)x
d)
y=5000xx
63.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
64.
If you invest $2500 into the bank and earn 4.5% interest compounded annually for 13 years, how much money will you now have?
a)
$4,430.49
b)
$1,462.50
c)
$31,3129.54
d)
$2,962.50
65.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
66.
Evaluate using your GC or Desmos and the change of base formula
a)
A
b)
B
c)
C
d)
D
67.
Evaluate:
log416
Use a GC or Desmos
log416
Use a GC or Desmos
a)
2
b)
4
c)
1/2
d)
-2
68.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
69.
Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75.
Hint: Take out your yellow sheet.
a)
Yes
b)
No
70.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
71.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
72.
Identify the common difference.
-21, -18, -15, -12, ...
-21, -18, -15, -12, ...
a)
4
b)
3
c)
-4
d)
-3
73.
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)
Fibonacci
74.
Evaluate this Sigma Notation Problem
a)
A
b)
B
c)
C
d)
D
75.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
76.
State the number of REAL ZEROS for the function:
f(x) = 6x5 + 9x4 + 2x3 + 3x2 - 4x -6
Hint: graph in Desmos or on a GC
f(x) = 6x5 + 9x4 + 2x3 + 3x2 - 4x -6
Hint: graph in Desmos or on a GC
a)
1
b)
2
c)
3
d)
4
77.
Find the horizontal asymptote.
4x-16
_________
x2-16
Hint: is it top heavy, bottom heavy, or balanced
4x-16
_________
x2-16
Hint: is it top heavy, bottom heavy, or balanced
a)
y=2
b)
y=1
c)
y=0
d)
none
78.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Above
79.
Find the 11th term for: 64, -32, 16, -8, …
Hint: train your GC
Hint: train your GC
a)
-.0625
b)
.0625
c)
-.03125
d)
.03125
80.
Match this Sigma Notation Problem
a)
A
b)
B
c)
C
d)
D
81.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
82.
Select the correct graph for this inequality.
a)
A
b)
B
c)
C
d)
D
83.
What does the first row look like in the augmented matrix?
a)
7x + 5y 3
b)
7 5 3
c)
7x + 5y = 3
d)
none of these
84.
What does the second row look like in the augmented matrix?
a)
-3x + 11y = 12
b)
-3 11 12
c)
3x + 11y = 12
d)
none of these
85.
What is a Matrix?
a)
An equation of over 5 numbers or symbols
b)
A set of numbers in rows and columns
c)
A method of finding the nth value of a series
d)
A complicated number system
86.
Over what interval is this function decreasing?
a)
−∞ < x <2
b)
2 <x < ∞
c)
all real numbers
d)
−∞ ≤ x ≤ -2
87.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
88.
Use the quadratic formula:
a)
A
b)
B
c)
C
d)
D
89.
Factor 3a2 + 4a + 1
Hint: use your brain power or your GC's Quadfctr program
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
90.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
91.
What would be the dimension of the following as an augmented matrix?
5x + 2y = -1
3x + 7y = 11
5x + 2y = -1
3x + 7y = 11
a)
2 x 4
b)
2 x 3
c)
3 x 2
d)
4 x 2
92.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
93.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
94.
Which solution of inequalities matches the graph?
a)
y > 2x - 4
y < 2
y < 2
b)
y < 2x - 4
y < 2
y < 2
c)
y > 2x - 4
y < 2
y < 2
d)
y < 2x - 4
y < -2
y < -2
95.
Will this line be solid or dotted
5 ≥ x
5 ≥ x
a)
solid
b)
dotted
c)
who knows
d)
no clue
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