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WorksheetsAlgebra I Final Exam
Total questions: 190
Worksheet time: 8hrs 33mins
Which of the following is the result after applying the Distributive Property?
6 = 3x - 6
6 = -3x - 6
6 = -3x + 6
6 = 3x + 6
3x + 7 = -8
7x - 3x - 8 = 24
7x + 19 = -2x + 55
2(2x + 3) = -6(x + 9)
5x + 7 = 12
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20
y = -3x + 7
5x - 3y = -9
y=-3x
y ≥
Y <
-y < x - 8 ?
y < 2
y < 2
y < 2
y < -2
Which of the following is NOT a solution to the systems of inequalities?
(0, 0)
(-4, 0)
(2, 2)
(3, 1)
Which parent function is shown?
f(x) = sin x
f(x) = x
f(x)=2x
f(x)=x
Which of the following parent functions does not have a Domain of all Real numbers?
what is f(-1)?
Factor:
x2 + 11x + 24
(x + 6)(x + 4)
(x + 12)(x + 2)
(x - 8)(x - 3)
(x + 8)(x + 3)
x2 - 10x - 24
f(x)=4(x-2)2 + 3
What is the vertex form of a quadratic function?
f(x) = 2a(x-h)2 + k
f(x) = a(x-h)2 + k
f(x) = (x+h)2 + k
f(x) = a(x-h) - k
What steps transform the graph y = x2 to y = 2(x+2)2 - 5?
shrink by 2, shifted 2 units left and 5 down
Stretch by 5, shifted 5 units left and 2 down
Stretch by 2, shifted 2 units left and 5 down
shrink by 5, shifted 2 units left and 2 down
What steps transform the graph y = x2 to y = x2 + 8
shifted up 8 units
shifted down 8 units
shifted left 8 units
shifted right 8 units
What steps transform the graph y = x2 to y = (x-4)2
Shifted down 4 units
Shifted left 4 units
Shifted right 4 units
Shifted up 4 units
Which transformations were applied to form the red graph from the blue graph?
shrink
stretch
reflection, stretch
reflection, shrink
Which transformations were applied to form the red graph from the blue graph?
shrink, left 4, down 5
stretch, left 4, down 5
reflection, left 4, down 5
reflection, shrink, left 4, down 5
Which transformations were applied to form the red graph from the blue graph?
shrink
stretch
reflection, stretch
reflection, shrink
Identify ALL of the transformations performed on f(x)=x2 to create the graph of g(x)=−(x−4)2+2
reflection
stretch
shrink
left 4, up 2
right 4, up 2
Identify ALL of the transformations performed on f(x)=x2 to create the graph of g(x)=−2(x−5)2+10
reflection
stretch
shrink
left 5, up 10
right 5, up 10
Identify ALL of the transformations performed on f(x)=x2 to create the graph of g(x)=31(x+2)2−5
reflection
stretch
Shrink
left 2, down 5
right 2, down 5
y=4x2-8x+9
y=ax2+bx+c
f(x) = -x2 - 4x + 12
Identify the solutions of the graph?
x= 0 and x= -4
x= 0 and x= 4
y= 0
x= 2
When the discriminant is positive, how many real solutions does the quadratic equation have?
2
1
0
When the discriminant is negative, how many real solutions does the quadratic equation have?
2
1
0
When the discriminant is zero, how many real solutions does the quadratic equation have?
2
1
0
What process is used to find the zeros? 2(x-3)(x+4)
Factor
Complete the square
Quadratic formula
Set each factor = to zero and solve
What number would complete the square? x2 + 12x
6
-6
144
36
What form is this? 2(x - 4)2 + 6
Vertex
Standard
Intercept
Slope-intercept
What is the next step to complete the square? x2 + 12x + 36 = -9 + 36
(x + 12)2 + 25
(x - 6)2 = 25
(x + 6)2 = 25
(x + 6)2 - 25
Find the value of "c" that completes the square.
x2+8x+c-4
4
8
16
Find the value of "c" that completes the square.
x2+28x+c28
14
196
56
Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.
n2−20n+c10; (n−10)2
100; (n−10)2
100; (n+10)2
10; (n+10)2
Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.
x2−2x+c1; (x−2)2
4; (x−2)2
1; (x−1)2
4; (x−1)2
Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.
p2+14p+c49; (p+7)2
7; (p+7)2
49; (p+14)2
7; (p+49)2
x2 = 9 - 4x
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
(2x - 1)2 = 49
k2 − 12k + 23 = 0
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
What is "b" in the equation 3x2 −7 = 0 ?
3
7
0
10
What is the "c" value in the equation
4x2 = 76 ?
4
76
0
-76
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
No Real Solution
Exponential growth is y=a(1+r)x , and exponential decay is y=a(1−r)x .
What does "x" represent?
Initial amount
Rate of growth or decay
Time
End amount
Convert the percent to a decimal:
27%=
2.7
.27
270
.027
Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).
604
777
29
198
More and more people are purchasing food from farmers' markets. As a consequence, a market researcher predicts that the number of farmers' markets will increase by 15% each year. If there are 6,200 farmers' markets this year, how many will there be in 10 years? (Round to the nearest whole number if necessary).
25,082
12,937
62,000
43,511
Jenny has $20 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will she earn in 2 years?
$2.05
$45.79
$1.99
$7.51
Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will she have in 2 years?
$99.23
$21.98
$56.46
$9.21
Is the table linear, exponential, Quadratic, or not a function at all?
Linear
Exponential
Quadratic
Not a function
Is the Equation Linear, Exponential, Quadratic, or not a function at all?
Linear
Exponential
Quadratic
Not a function
Is it linear, quadratic, or exponential?
Linear
Quadratic
Exponential
Outrageously outrageous
A(n) _________________ function will ADD the same number each time.
Linear
Quadratic
Exponential
All of the above
A(n) _________________ function will MULTIPLY the same number each time.
Linear
Quadratic
Exponential
All of the above
Linear, Quadratic, or Exponential?
Linear
Quadratic
Exponential
What comes next?
26
44
23
27
What comes next?
22
28
54
36
What comes next?
20
11
29
35
5,11,2,12,4,2
4,2,7,4,3
7, 1, 1, 7, 1, 4, 1
3, 5, 7, 9, 11, 8, 3
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
What does the "Q" stand for in Q1, Q2, and Q3?
Quadrants
Quartiles
Quarts
Which one is the "median"?
Q1
Q2
Q3
TRUE OR FALSE:
The "upper quartile" is Q3
The "lower quartile" is Q1
True
False
To create your box plot,
you must find your
"___ number summary".
complete
three
five
quartile
What is the IQR of this data set?
9, 5, 6, 3, 1, 8
3.5
4
5
6.5
126, 62, 144, 132, 144, 103
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?
511.33
22.61
438.48
20.94
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
6.89
10.1
7.26
9
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
What does this symbol represent?
Standard Deviation
Variance
Mean Absolute Deviation
Median
100, 125, 100, 95, 125, 800, 150
When the median is more than the mean this results in a positive skew
false
true
When the median is more than the mean this results in a negative (left) skew
true
false
What is the shape of this bar graph?
Skew right
Skew left
Symmetrical
uniform
skewed left
skewed right
symmetrical
Describe the shape of Daniel's data
skewed left
skewed right
symmetrical
What is the shape of the data for Lucy's Steakhouse?
skewed left
skewed right
symmetrical
The majority of the data is on the right...
skewed left
skewed right
symmetrical
mean = median
skewed left
skewed right
symmetrical
