WorksheetsAlgebra 2 A EOC Review
Total questions: 152
Worksheet time: 17hrs 11mins
x + 2y = -4
x - 2y = 8
x - 2y = -6
5x + 4y = 8
x - 2y = -2
x + y + z = 4
x = -2y
z = -3y
Which TWO are equivalent to the above expression?
Write the above expression in exponential form.
Write the above expression in exponential form.
Write the above expression in exponential form.
Write the above expression in exponential form.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f + g)(x).
g(x) = 5x-7
Find f(x)+g(x).
g(x) = x-9
Find f(x)-g(x).
g(x) = x+3,
Find f(x) * g(x)
When f(x) = x2 - 9
and g(x) = x + 3 ,
find f(x) / g(x).
x - 3
x + 3
x - 12
x - 6
f(x) = 4x + 8
g(x) = x + 3,
Find f(x) ⋅ g(x)
4x2 + 24
4x2 + 20x + 24
4x2 + 12x + 24
4x2 + 4x + 24
f(n)=x2 + 1
g(n)=2x - 5
Find f(n) - g(n)
x2 - 2x + 6
-x2 + 2x + 4
-x2 - 2x - 6
x2 - 2x - 4
f(x)=2x + 4
g(x)=3x2 - 1
Find f(x) ⋅ g(x)
6x4 + 12x3 - 4x2 - 8x
-6x3 + 12x2 + 2x - 4
6x3 + 12x2 - 2x - 4
5x2 - 18x + 20
f(x)= x+3
g(x)= x-2
Find (g(x) / f(x))
Be careful!!
(x + 3)/(x - 2)
(x - 2)/(x + 3)
-2/3
3/2
g(x) = x2+3 , find f(g(x)).
(7 + 2i)(9 - 6i)
√-25
2i - 7i + 10
3i - (4 + 7i)
(5-2i) + (-7+8i)
(2i)(3i)
(3i)(-2+4i)
(4 – 3i)(7 + 2i)
How do you write a complex number?
a-bi
a+bi
ai+b
ai-b
What is the simplified form of (8 -3i)2?
73
16 - 6i
55 + 48i
55 - 48i
What complex number is shown on the graph?
(-2,-3)
-2-3i
2-3i
3i-2
Match the expression to the graph shown in the complex plane.
-2i-3i
(0,-5)
-6i
-2(3i)
Match the expression to the graph shown in the complex plane.
(4,0)
4 + 4i
-4(i2)
4i
−3+6i−(−5−3i)−8i
(a)
3+3i+8−2i−7
(a)
Simplify
(-10+6i)/17
(1+50i)/61
(-23+36i)/25
(-21+33i)/34
Divide Using Synthetic Division:
(3x4+5x2-10x-8) / (x-1)
3x3+3x2+8x-2-(10/(x-1))
3x3+3x2+8x-2
6x3-4x2+x-1
x-1
Is this division problem worked correctly?
This is correct!
This is incorrect, and error occurs on the 2nd line!
This is incorrect, and the error occurs on the 4th line!
This is incorrect, and the error occurs on the 3rd line!
A
B
C
D
E
A
B
C
D
E
A
B
C
D
E
A
B
C
D
E
What is the remainder when you divide
(2x3−5x−7) by (x+2) ?
-9
11
-13
-1
What is the remainder when (a3−4) is divided by (a+2) ?
-2
-6
-12
0
Identify the missing term to complete the solution.
28
38
48
58
f(x)=2x-2
f(x)=2x-2
f(x)= x4 - 2
f(x) = 1/4x - 7
f(x) = 3x − 5
Which function shows horizontal translation and a vertical stretch?
f(x) = -2|-x |
f(x) = -3|x| - 7
f(x) = -|-x + 1| + 4
f(x) = 5|x - 4| - 1
Describe the movements.
y= −|x|+4
Left 4, Down 1
Reflect over x-axis, Down 4
Reflect over x-axis, Up 4
Right 4, Up 1
Which graph matches the function:
y = -2|x - 3| + 5
A
B
C
D
Is this graph correct for y= -2|x+4|
Yes
No
What is the correct equation for this graph?
y < |x+4| -3
y ≤ |x+4|+ 3
y ≤ |x-4| -1
y < 1/2|x+4| + 1/2
y = -2 I x - 3 I + 3
What is the correct equation for this parabola?
y=(x−3)2−1
y=(x−3)2+1
y=(x+3)2−1
y=(x+3)2+1
What is the equation of the parabola in vertex form
y=−(x+1)2+4
y=−(x−1)2+4
y=−(x+1)2−4
y=−(x−1)2−4
What is the y-intercept for the equation
y=0.25(x+5)2−9
(a)
f(x)=−(x−4)2+1
Choose the correct graph of the equation.
How many roots does y=x2+2x+4 have?
one
two
none
What is the vertex?
(1, -9)
(-9, 1)
x = 1
y = -9
Does it have a maximum or minimum and what is the value?
minimum
x = 1
maximum
y = -9
minimum
y = -9
maximum
x = 1
What is the Axis of Symmetry?
x = -9
x = 1
y = 1
y = -9
(1, -9)
The standard form of a quadratic function is
ax2 + bx + c
a(x - h)2 + k
y - y1 = m(x - x1)
Ax + By = C
Which function has an axis of symmetry of x = 0?
None of the above
List the zeros for this function.
P(x) = 3x4+4x-8 have?
f(x) = x3 - 5x2 - 25x + 125
If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does a have on the transformation?
Shift up a units
Make the graph wider or narrower
Shift right a units
Reflect the graph over the x-axis
If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does c have on the transformation?
Shift up c units
Shift down c units
Shift right c units
Shift left c units
If g(x) is a transformation of f(x) and g(x) = af(x + b) + c, what effect does b have on the transformation?
Shift up b units
Shift down b units
Shift right b units
Shift left b units
Which transformation of y = f(x) moves the graph 7 units to the left and 3 units down?
y = f(x + 7) - 3
y = f(x + 7) + 3
y = f(x - 7) - 3
y = f(x - 7) + 3
Is the power even or odd?
Odd
Even
In the equation f(x)=5(x+3)2-10 what does the 5 do?
Vertical stretch by 5
Vertical compression by 5
Reflect
Move up 5
f(x) = x2
the red must be...
In the equation f(x)= 0.5(x+9)2-1, what happens to the parabola?
Reflect, compress by 0.5, left 9, down 1
Compress by 0.5, left 9, down 1
Compress by 1/2, right 9, down 1
Stretch by 0.5, left 9, down 1
f(x) = x2
then the red must be...
Which could be the resulting function?
g(x)= 1.5 (x - 3) + 4
g(x)= 0.6 (x + 3) + 4
g(x)= 2 (x - 3) + 4
g(x)= 2 (x + 3) + 4
(x2 - 2x - 15)
x2 + 7x + 6
x2 + 7x + 6
6x2 + 17x + 12 = 0
2x² - 3x - 2 = 0
3x² + 5x - 12 = 0
Solve by factoring: 2x2 + 7x + 6 = 0
x = 3/2 and x = 2
x = -3/2 and x = -2
x = 6 and x = 7
x = -6 and x = -7
5n³-10n²+3n-6
4p³+8p²+3p+6
x3 - 4x2 -4x + 16
27x³-64
216x3+125
8x6 - 64
Solve
x4 + 7x2 - 30=0
±i10, ±7
±10, ±i3
−10, −10, −3, −3
±i10, ±3
Solve
a4 - a2 - 12=0
±2, ±i3
±6, ±2
±6, ±2i
±2i, ±3
Solve: p4 + 12p2 + 35 = 0
±7, ±5
±3i, ±i5
−7, −7, −5, −5
±i7, ±i5
Solve
16a4 - 9 = 0
43, 43, −43, −43
±23, ±2i3
169, 169, 16−9, 16−9
±43, ±43i
Solve by the Quadratic Formula:
9u2−11u+7=0
18−11±131
1811±131
−1811±131
1811±i373
Solve by the Quadratic Formula:
−12q2+3q+7=0
24−3±345
−243±345
243±345
243±i39
Cell Phone Company initially charges $15.00 for airtime usage plus $0.20 per minute. Determine an equation that can be used to calculate monthly cell phone bill.
y = 0.20x + 15
y =15 (0.20x)
y = 15 + x + 0.20
y = 0.20 + 15x
