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WorksheetsAlgebra I Extra Credit Final
Total questions: 145
Worksheet time: 24hrs 10mins
Simplify 3n−187n+3n+3
3n−158n+3
3(n−6)n2+4n−18
3(3n−18)7(n+3)
3n−18+37n+n+3
Simplify n−38n+5n−63n
(5n−6)(n−3)43n2−9
6n−911n
(n−3)(5n−6)43n2−57n
n−3+5n−68n+3n
x−54x−x−63 Simplify
(x−6)(x−5)4x2−27x+15
2x+14x−3
(x−6)(x−5)4x2−27x+21
(x−5)(x+6)4x2+21x+15
m2+13m +42m2+m−30÷m+7m−2 Simplify
m−2m−5
(m+7)2(m−5)(m−2)
m2+14m+49m2+2m−32
2m2−5
8m3−64m22÷8m21
m−64m22
8m2(m−8)16m2
64m4(m−8)2
m−82
x1+xx+1x2x+1 Simplify
xx+2x2x+1
x(x+2)x+1
x(x+2)2x+2
x1
31+m18m Simplify
m+543m2
3mm+54m
m+543
193m2
5n21+5n2=n2n+5 Solve. Check for extraneous solutions.
n = 4
n = 8
n = 2
n=−8
6x1+61=2x1 Solve. Check for extraneous solutions.
x = 2
x = 3
x = 0
x = 1
Find the LCD of the following rational expressions
x+12x and x2−11
(x+1)(x-1)
(x+1)2 (x-1)
(2x+2)
Given the sum
x+23x+(x+2)(x−5)6x+1
What is the LCD (lowest common denominator)?
(x+2)(x+2)(x−5)
(x+2)(x−5)
x−5
x+2
Given
What values will make the rational expression UNDEFINED?
x=−1, x=7
x=−1, x=4, x=7, x=−3
None
x=4 , x=−3
Simplify 2x−10x2+x−30
x+3
2x2−3
2x−2x+6
2x+6
Solve and check for extraneous solutions
x= - 3 &x= -8
x= -3
No Solution
x= -8
If the same number is added to the numerator and the denominator of 73 the resulting equation is 32 . What is the number?
(a)
Evaluate (5x−10)5(x−2) if x=−7
1
95
0
undefined
Evaluate x2+6x+8x+4 if x=2
4
41
0
undefined
Evaluate 2x+3y3xy for x=4 and y=−2
12
−712
712
−12
9−x25x +3 if x =3 Evaluate
(a)
A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.
What is the probability of drawing a green marble?
61
241
121
41
A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.
What is the probability that a black marble is removed and replaced before a green marble is removed.
41
691
721
61
A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.
What is the probability that a red marble is removed and not replaced before a green marble is removed.
691
695
721
725
A Jar has 24 marbles of various colors: 2 are black, 6 are blue, 10 are red, 2 are red and blue, and 4 are green.
What is the probability that a marble having red or blue is taken out of the drawer.
43
32
721
725
Negative association
Positive association
The equation of the trend line is y= 1/2x +1
How many laps can a bicycle make around the park in 11 minutes?
44 laps
12 1/2 laps
20
23
y = 0.25x + 8
Based on the equation, what is the number of new types of plants that will be in the park after 24 years?
When the debate team practiced 4 hours, how many debates did they win?
12
14
16
10
20 21 22 22 22 25 27 29 31 31
33 33 34 34 34 38 39 40 41 42
What is the mode?
no mode
22
22, 34
22, 31, 33, 34
20 21 22 22 22 25 27 29 31 31
33 33 34 34 34 38 39 40 41 42
The sum is 618. What is the mean
(a)
20 21 22 22 22 25 27 29 31 31
33 33 34 34 34 38 39 40 41 42
What is the range?
(a)
20 21 22 22 22 25 27 29 31 31
33 33 34 34 34 38 39 40 41 42
What is the 5 number summary?
20-25-33-38-42
20-23.5-32-36-42
20-22-31-34-42
1-2-3-4-5
The fit line equation for a scatterplot is y=5.09x + 17.12. According to the equation, what is the expected value of y when the x-value is 14?
(a)
If the required value of y is 57.84, use the fit line equation y=5.09x + 17.12 to determine the needed x-value.
(a)
What is the percent of change for the number of trees from federal park to the childen's park? Round to the nearest whole percent.
(a)
Which park had the least number of trees?
State Park
Federal Park
Children's Park
Private Acreage
How many trees are there in all the parks if the Children's Park and Private Acreage are not included?
(a)
Which class has the highest frequency of values?
75-80 class
70-75 class
50-55 class
55-60 class
What is the value of the first quartile?
90
40
100
Describe the skew of the box and whisker plots.
both plots are right-skewed
both plots are left-skewed
The top plot is right-skewed while the bottom is balanced.
The top plot is left-skewed while the bottom is balanced.
What is the range of the bottom box-and-whisker plot?
30
70
74
100
How many pine trees are there in Federal Park?
(a)
Which term best refers to non-numeric information that can be observed but not measured?
qualitative
quantitative
inferential
descriptive
What is the name of the first number in a five-number summary
maximum
minimum
median
first quartile
What is the name of the last number in a five-number summary
maximum
minimum
median
first quartile
What is the name of the second number in a five-number summary
maximum
minimum
median
first quartile
Which field of statistics involves drawing conclusions to make decisions from data?
inferential
descriptive
What increases skewness in a frequency distribution?
mean
median
quartile
an outlier
Which measure of center is resistant?
mode
median
mean
Which group of probabilities is valid?
.49, -.19, .45, .25
.45, .35, .15, .05
1.21, .35, .49, .21
Rationalize the denominator:
235
615
1815
653
1853
Rationalize the denominator:
1228
696
326
12296
2342
Choose the linear term.
3x
x2
48
2x3
Which shows the prime factorization of the number 260?
3⋅5⋅2⋅13=260
2⋅2⋅5⋅13=260
1⋅2⋅5⋅26=260
20⋅13=260
16x2−25
(a)
x3−5x
x(x2−5)
prime
x(x3−5x)
x(x2−5x)
x2+7x+12
(a)
24x2+52x−20
(a)
A pure quadratic does not have a _______.
linear term
quadratic
constant
zero
Which of these is a pure quadratic?
x2+bx+c=0
ax2+c=0
ax2+bx+c
ax2+bx=c
Which of these correctly states the quadratic formula?
x=4a−b±b2−2ac
x=2ab2±−b−4ac
x=2ab±b2−4ac
x=2a−b±b2−4ac
Which of the following is not a perfect square trinomial?
9x2−18x+9
x2+6x−9
x2+4x+4
4x2−20x+25
Which of the following states that every composite number can be written as a product of prime numbers?
multiplication property
zero factor property
fundamental thereom of arithmatic
addition property
Which of the following allows each factor of a factored quadratic equation to be set equal to zero.
multiplication property
zero factor property
fundamental thereom of arithmatic
addition property
Which of the following is the Pythagorean theorem?
a2+b2=c2
a2+c2=b2
b2+c2=a2
a+b=c
x⋅6x
3x2
x3
12x2
6x2
(3−2)2
9+62
9+2
11−62
8−62
What is the solution of the equation a2 – 60 = 21?
positive or negative 4
positive or negative 6
positive or negative 7
positive or negative 9
What is the answer to the following: 3x− 7 = 5
48
12
36
144
What is the value of x in the following equation: x + 11 = 5
25
14
36
116
Solve
v = -14
v = 14
No Solution
v = 28
Solve the equation by factoring.
x = {-5,-3}
x = {5,-3}
x = {-5,3}
x = {5,3}
Solve by factoring
-4, 2
-2, 4
-16
-4
The length of a rectoangle is 5 feet more than twice its width. The area is 52 square feet. What is the length of the rectangle?
(a)
The length of a rectangle is 4 inches more than twice the width. If the area of the rectangle is 48 square inches, what is the length of the rectangle?
(a)
4x3
x43
x34
x131
x43
x7
x71
x72
x17
x27
x⋅6x
x3
3x2
xx
26x
A(3,1) B(-2,-1) written correctly is:
(−2−3)2 + (−1−1)2
(1−3)2 + (−1−2)2
(−2−3)2 − (−1−1)2
(−2−3)2 − (−1−1)2
A(2,0) B(-2,4) is written as
d = (4−2)2 − (0−2)2
d = (4−0)2 − (−2−2)2
d = (−2 +0)2 + (4+2)2
d = (−2−2)2 + (4−0)2
√96
Simplify the radical expression:
2x2y3
2yxy
2xy2
y2xy
xy2y
Rationalize the denominator:
235
615
1815
653
1853
Rationalize the denominator:
1228
696
326
12296
2342
Find the missing side
11
61
61
11
Which equation can be used to solve for "x"?
152 – x2 = 212
x2 – 152 = 212
152 + 212 = x2
212 – 152 = x2
Determine the length of the missing side.
7
8
17
23
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
6
6.7
3
15.7
None of them
a2 + b2 + c2
What is the conjugate of x−3 ?
x+3
3−x
x−3
x+3
What is the principle root of 3−125
(a)
What is the index of 35x6
(a)
Which of the following is a like radical with 25 ?
236
27
35
235
Write the above expression in exponential form.
Choose the linear term.
3x
x2
48
2x3
Choose the quadratic term.
3x
x2
48
2x3
Choose the constant.
3x
x2
48
2x3
Which shows the prime factorization of the number 260?
3⋅5⋅2⋅13=260
2⋅2⋅5⋅13=260
1⋅2⋅5⋅26=260
20⋅13=260
What is the greatest common factor of 22x4 and 4x2
4x2
2x2
88x6
4x
2x
4x2+9x
prime
common monomial factor
general trinomial
perfect square trinomial
difference of two squares
x2+x−5
prime
common monomial factor
general trinomial
perfect square trinomial
difference of two squares
9x2−64
prime
common monomial factor
general trinomial
perfect square trinomial
difference of two squares
x2−18x+81
prime
common monomial factor
general trinomial
perfect square trinomial
difference of two squares
5x2−7x−6
prime
common monomial factor
general trinomial
perfect square trinomial
difference of two squares
16x2−25
(a)
x3−5x
x(x2−5)
prime
x(x3−5x)
x(x2−5x)
x2+7x+12
(a)
24x2+52x−20
(a)
x2−49=0
x=7
x=0, x=7
x=±7
x=−7, x=49
x2−49=0
x=7
x=0, x=7
x=±7
x=−7, x=49
x2+7x+12=0
x=-12, x=-7
x=12, x=7
x=3, x=4
x= -3, x= -4
Find two numbers that have a sum of 24 and whose product is 63.
(a)
The length of a rectangle is 5 feet more than twice its width. The area is 52 square feet. What is the length of the rectangle?
(a)
x2 + 9x - 36
3v2 - 4v - 7
Factor:
4h² - 12h + 9
(2h - 3)²
4(h + 9)(h + 1)
(2h - 3)(2h + 3)
(h - 9)(4h - 1)
Factor
2x2 - 13x - 70
(2x - 7)(x + 10)
(7x + 5)(x + 2)
(2x + 7)(x - 10)
2(x + 7)(x + 10)
5x2 - 13x + 6
Factor Completely: 2x² + x - 6
(x + 2) (2x - 3)
(x - 6) (2x + 1)
(x + 1) (2x - 6)
(x - 2) (2x + 3)
