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Worksheetscaaspp practice #1
Total questions: 200
Worksheet time: 6hrs 12mins
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Factor
Write down: a = 1, b = 6, c = -13
Subtract 3 from both sides.
Add 3 to both sides.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
No Real Solution
Complete the square for
x2 + 12x + ____
(find the missing number in the blank)
x2 + 12x + 144
x2 + 12x + 36
x2 + 12x - 36
x2 + +12x - 144
x2 +8x + c
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
Where is the axis of symmetry?
Find the y-intercept of:
y=2(x - 3)2 + 4
22
10
-14
13
What is the vertex, axis of symmetry, does the graph opens up or down, domain and range of the given parabola:
y=6(x-4)2-1?
Vertex: (4,-1)
Axis of Symmetry: x=4
Graph opens: up
Domain: all real numbers
Range: y≥-1
Vertex: (4,-1)
Axis of Symmetry: x = 4
Graph opens: up
Domain: x≥-1
Range: all real numbers
Vertex: (-4,1)
Axis of symmetry: y=-1
Graph opens: up
Domain: all real numbers
Range: y ≤-1
Vertex: (-4,1)
Axis of symmetry: x=-4
Graph opens: up
Domain: x≤-1
Range: all real numbers
f(x)=−(x−4)2+1 Choose the correct graph for the given equation.
Write the equation of a parabola that has shifted 4 units to the right, 5 units down, and has flipped over the x-axis.
y = - (x - 5)2 + 4
y = - (x - 4)2 - 5
y = - (x + 4)2 - 5
y = - (x + 5)2 + 4
Sketch the graph of each function.
5
33
85
21
Which has a higher median?
Florida
Texas
Which has a lower IQR? (Interquartile Range)
Florida
Texas
True or False: Week 2 median is the same as Week 1 Q3
False
True
The list below shows the most recent test scores for students in Mr. Garcia’s study group.
78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96
Which box-and-whisker plot correctly represents the data in the list?
Johnathan analyzed a set of data. He noticed that 50% of the data was
between 84 and 89. He also noticed that 50% of the data was between
88 and 91. The lowest data point was an 82. Which box plot could
represent the set of data Johnathan analyzed?
Is (-2, 0) a solution to the system?
Solution
Not a solution
Which point is a solution to the system of inequalities?
(-8,2)
(-2,-5)
(0,6)
(4, 3)
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
y < 3
y > 3
y < 3
y > 3
A 14 ft. ladder leans against the side of a house. The bottom of the ladder is 8 ft. away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth.
55.2°
34.8°
29.7°
60.3°
What type of special segment is shown?
Angle Bisector
Altitude
Median
Perpendicular Bisector
What type of special segment is shown?
Altitude
Median
Perpendicular Bisector
Angle Bisector
what is NG?
PQ is the perpendicular bisector of MN. What is QN?
7
14
10.5
28
R: {1, -3, -4, 1}
R: {-4, -3, 1}
R: {1, -3, -4}
R: {-4, 0, 1, 2}
Find the balance in the account after the given period.
$13,500 deposit earning 3.3% compounded monthly after 1 year
$13,611.38
$14,898.84
$13,537.13
$13, 952.30
Find the balance in the account after the given period.
$3400 principal earning 3.6% compounded annually after 2 years
$3,420.43
$3,649.21
$3,675.39
$6,288.64
Your 6 year investment of $40,000 at 14% compounded quarterly is worth how much now?
$928,488.27
$49,170.21
$91,333.14
$51,333.14
Will deposits $1650 for three years at 3% interest, compounded daily. What is his ending balance?
$1,700.25
$4,056.85
$2,103.87
$1,805.38
Find a and d for the function f(x) = asinx + d such that the graph of f(x) matches the graph shown.
a = 2, d = -1
a = 2, d = 2
a = 4, d = 1
a = 4, d = -3
Determine the period of
y=3cos(6x)−5 .3π
31
6π
12π
Determine the amplitude of
y=−8cos(16πθ)−55
-8
-5
8
Determine the period and amplitude of
y=4cos(9x+6π) .Period: 18π ; Amplitude: 4
Period: 9π ; Amplitude: 4
Period: −92π ; Amplitude: -4
Period: 92π ; Amplitude: 4
Choose the equation to represent the graph shown.
y=2cos(4θ)+1
y=−sin(21θ)+1
y=4cos(21θ)+1
y=−sin(2θ)+1
R: [-1, 1]
R: [-π, π]
R: [-1, 1]
R: [-∞, ∞]
Find the missing angle measure.
30º
86º
94º
180º
√23
Check all that is true
Simplify the expression:
361/2
6
36
-6
1296
Check all that is true
Simplify the expression:
271/3
3
9
∛27
33
Write using a rational exponent: 3x7
x37
x73
x4
x11
Find sin(-240°)
(√3)/2)
(-1/2)
(√2/2)
(1/2)
Find cos(600°)
(-1/2)
(-√3/2)
(√3/2)
(√2/2)
Find f(x) + g(x)
x2 + 9x + 4
x2 + 11x + 4
x2 + 9x + 3
x2 + 11x + 3
Find g(f(x))
2x + 5
2x + 10
x - 5
x + 5
Find g[h(3)]
-71
-69
69
71
What is the volume of this prism?
20 ft3
8 ft3
40 ft3
11 ft3
What is the volume of this prism?
7 u3
4 u3
6 u3
14 u3
A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?
4 units
2 units
3 units
5 units
Use 3.14 for pi.
4x - 2
4x + 2
4x - 2 + (1/3x - 1)
4x + 2 + (1/3x - 1)
2x2 + 3x + 8 + -57/x-4
2x2 - 13x - 56
2x2 + 3x + 8 +7/x-4
2x2 - 3x - 16 + -89/x-4
Two triangles are shown on the coordinate grid. Which sequence of transformations shows that
ΔABC≅ΔDEFReflect △ABC across the x-axis, then translate it down 1
Reflect △ABC across the x-axis, then translate it up 1
Reflect △ABC across the y-axis, then translate it down 1
Reflect △ABC across the y-axis, then translate it up 1
Two triangles are shown on the coordinate grid. Which sequence of transformation shows that ΔABC≅ΔDEF ?
Reflect △ABC across the x-axis, then translate it down 2
Reflect △ABC across the y-axis, then translate it down 2
Reflect △ABC across the x-axis, then translate it up 2
Reflect △ABC across the y-axis, then translate it up 2
Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?
Translate Trapezoid 1 to the right 6 units, then translate the resulting down 2 units.
Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.
Translate Trapezoid 1 to the right 6 units, then reflect the resulting figure across the x-axis.
Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.
5,11,2,12,4,2
4,2,7,4,3
What is the median:
2, 4, 6, 8, 8, 10
7
8
6 & 8
2
84, 88, 72, 74, 98, 16, 94
84, 88, 72, 74, 98, 16, 94
Find the IQR of the following numbers:
84, 88, 72, 74, 98, 16, 94
78
22
16
There is no IQR.
Find the standard deviation of the following
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
(a)
Find the standard deviation of the following
7, 8, 10, 10, 11, 12, 13, 14, 14, 14
Round to the nearest hundredth.
(a)
What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
47.47
102.01
52.77
81
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
How is the graph distributed?
Normally
Skewed to the Left
Skewed to the Right
Uniform
What is #4 Statement?
∠MNL ≌ ∠ONP
MN ≌ ON
N ≌ N
MO ≌ OM
What is #2 Reason?
Same Line
Reflexive Property
Segment Bisector
Definition of Midpoint
What is #4 Reason?
Alternate Interior Angles
Vertical Angles
Reflexive Property
Angle Bisector
What is #5 Statement?
∠QPR ≌ ∠STR
∠PQR ≌ ∠STR
∠QRP ≌ ∠TSR
∠QRP ≌ ∠TRS
3x3 – 6x
(3x3+3x2–4x+5) + (x3–2x2+x–4)
(4n4-8n+4) - (8n2+4n4+1)
A point P(4,-2) is on the terminal side of angle x. Find the exact value of sin(x) .
−55
55
525
−525
Find the exact value of cot(x) given:
cos(x)=−23, tan(x)>0
3
−33
−3
33
(x2-49)/(x2+9x+14)
Reduce, or simplify
the algebraic fraction.
x - 3
-21
-3
( x - 3 ) / ( x )
3m10p8 ⋅ 2m5p2
Find the volume.
364 cm3
1,092 cm3
546 cm3
182 cm3
Find the point of intersection (SOLUTION).
y=x+3
y=2x−2
(5,8)
(6,9)
(1,4)
(2,3)
4x + 4y = 0
x+y=?
(a)
What is a formula for the nth term in the sequence 12, 20, 28, ...?
an=20+8(n−1)
an=−4+8(n+1)
an=12+8(n+1)
an=12(8)n
Which is a *recursive rule* for the nth term in the sequence 15, 8, 1, ...?
a1=15, an=an−1−7
an=15−7(n−1)
a1=−7, an=an−1+15
an=−7+15(n−1)
Find the 75th term of the arithmetic sequence -17, -13, -9, ...
(a)
an = 4(5)n-1
a1 = 10: an = an-1(3)
216x3+125
4x - 10y = 20
y-int = -10
y-int = 2
y int = -2
y -int = -10
Is it linear, quadratic, or exponential?
Linear
Quadratic
Is it linear, quadratic, or exponential?
Linear
Quadratic
Which expression is equivalent to (x2 − 49) ?
(x2−7x +49)
(x2 + 14x + 49)
(x−7)(x+7)
(x−7)2
Enter an expression equivalent to
(4x2−6x+5)−(3x2−5x+5)−x2
(a)
Which inequality represents all possible solutions of -4a > -20?
a < 80
a > 5
a < 5
a > 80
Which of the following will result as an irrational number?
34
8125
π
12×4
A car travels at a constant speed for 225 miles. If the car has been traveling for 3 hours. What is the speed of the car in miles per hour? Enter the numerical value for the speed of the car.
(a)
Solve for k.
a = k(m−n)
am - an
ma+n
m+na
m−na
Which of the following system of inequalities created matches the given graph?
y≤2x − 2
y≥21x+1
y≥2x−2
y≤21x+1
None of these
y>2x−2
y<21x+1
find (f °g)(2) given f(x) = 3x + 2 and g(x) = x + 3.
20
17
10
2
What is the value of x if
3/(x + 3) + (x - 1)/5 = 4/5?
5
4
2
1
What is the x - intercept of
f(x) = (2x + 6)/(x - 1)?
- 5
- 3
- 1
0
In an Inter - Barangay Basketball League, the team from Barangay Aranguel has won 15 out of 25 games, a winning percentage of 60%. How many games should they win in a row to improve their win percentage by 72%?
11
14
16
20
Zanjoe work as a vendor. He earns a daily wage of P350.00 and an additional P3.00 for every watermelon he sold. If n represent the number of watermelon sold, write the function for his daily earnings w as a function of the number of the watermelon sold n.
w = 350n
w = 350 + 3n
w =350n - 3
w = 350 - 3n
What is the zero of
f(x) = x - 5?
- 5
0
5
1
What is the domain of the function f(x) = (3x + 8)/x
All real numbers except 3
All real numbers except 8
All real numbers except 0
All real numbers except - 8
Shane can read 80 pages in every hour. Which of the following expresses the total pages P as a function of the number n of hours that she can read?
P(n) = 80 + n
P(n) = 80/n
P(n) = 80n
P(n) = 80 - n
Lexy can clean a room for 3 hours.Jill can clean the same room in 6 hours.Working together, how long will it take them to clean the room?
2 hours
3 hours
4 hours
6 hours
Cardo got an average grade of 90 on his 5 subjects. What must be hos grade on the sixth subject to get an average of 91?
93
95
96
98
15x5y7
−15x5y7
−15x4y12
15x4y12
Determine if the following statement is true or false:
The line of symmetry of g(x) is x = 1.
True
False
Select the graph that correctly represent the cost, y, in dollars, to buy x grapefruit that cost $1.50 each.
A reflection across the x-axis followed by a translation of 1 unit up.
A reflection across the y-axis followed by a translation of 1 unit up.
A reflection across the x-axis followed by a translation of 1 unit down.
A reflection across the y-axis followed by a translation of 1 unit down.
Solve
x= -9
x= -2 and 3
x= 5
x= 0
