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WorksheetsAlgebra 2 Midterm Review
Total questions: 43
Worksheet time: 11hrs 45mins
y = 5/4x + 4 through (-4, -3)
What is the meaning of the y-intercept?
Which piecewise function corresponds to this graph?
f(x) = { x if x < 4; -x+1 if x ≥ 4
f(x) = { x if x ≤ 4; -x+1 if x > 4
f(x) = { -x+1 if x < 4; x if x ≥ 4
f(x) = { -x+1 if x ≤ 4; x if x > 4
If the graph y = -2|x - 3| + 5 is translated 4 units right and 3 units down, what would be the new equation of the function?
y = -2|x - 7| + 8
y = -2|x + 1| + 8
y = -2|x + 4| - 3
y = -2|x - 7| + 2
Find the Vertex: y= -5x2 -20x - 26
(-2, -6)
(2, 6)
(6,2)
(3, 6)
Factor:
4x² + 26x + 30
(2x + 1)(x + 15)
(x + 4)(x + 30)
(2x + 3)(2x + 10)
2(2x + 3)(x + 5)
Solve 𝑥2 = 5𝑥 − 10
y < x2 - 4x + 4
y ≤ x2 + 4x + 4
y ≥ x2 + 4x + 4
y > x2 - 4x + 4
The table of value represents a quadratic function. Which of the following functions yields the same minimum or maximum value as the table?
f(x) = -x2 + 4
f(x) = x2+4x+4
f(x) = 3x2 - 5
f(x) = -x2 + 8
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
$6060
$20
$600
$10,250
Which of the following functions has the same set of zeros as y = x2 + 8x + 15?
f(x) = (x - 5)(x - 3)
g(x) = 2(x + 5)(x + 3)
h(x) = -(x - 5)(x + 3)
j(x) = 3(x - 5)(x + 3)
Solve
(x+3)2 = 14
-3 ±√14
-3 +√14
±11
±5
Solve 6x2-x-2=0
x= -2/3, 1/2
x= 2/3, -1/2
x= -2/3, -1/2
Write a quadratic equation in standard form with the given roots: -2, -5
x2 - 3x - 10
x2 + 7x + 10
x2 - 7x + 10
x2 + 2x - 10
A ball is thrown into the air and can be modeled by the function
h = -16t2 + 64t + 960
where t is the time in seconds and h represents the height of the ball.
How many seconds did it take for the ball to reach its maximum height?
10 seconds
64 seconds
960 seconds
2 seconds
A ball is thrown into the air and can be modeled by the function
h = -16t2 + 64t + 960
where t is the time in seconds and h represents the height of the ball.
What is the maximum height?
960 feet
1008 feet
1024 feet
1152 feet
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
How many real and imaginary zeros does this graph have?
2 imaginary
2 real, 1 imaginary
2 real
2 real, 2 imaginary
What is the end behavior of f(x) = 3x4 - 4x3 + x - 1
As x → -∞, f(x) → -∞ and as x → ∞, f(x) → -∞
As x → -∞, f(x) → ∞ and as x → ∞, f(x) → -∞
As x → -∞, f(x) → -∞ and as x → ∞, f(x) → ∞
As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞
x3 + 3x2 - 4x - 12
Given p(1) = 0, p(-5) = 0, and p(-3) = 0, which expression could be p(x)?
x3 - 7x2 +7x +15
x3 +7x2 +7x -15
x3 - 7x2 +7x -15
x3 +7x2 +7x +15
3x3 + 5x - 1 ÷ x + 1 (Try synthetic division for this one...don't forget zeros as placeholders)
3x3 - 3x2 + 8x - 9
3x2 - 3x + 8 - 9/(x+1)
3x2 + 3x + 8 + 7/(x+1)
3x3 + 3x2 + 8x + 7
How many real zeros are there in the graph?
0
1
2
4
Solve by factoring.
x4 + 15x2 + 44 = 0
±√11, ±2
±i√11, ±2
±i√11, ±2i
±√11, ±2i
Find the remaining factors of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.
(x + 12)(x - 1)
(x - 12)(x + 1)
(2x + 1)(x - 6)
(2x - 1)(x + 6)
Simplify (4x-2y3)2/(2x4y8)
2/(x8y2)
8/y2
8/(x8y2)
8/(x6y2)
If f(x) = 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, the remainder can be determined by evaluating f(-2). What is the value of the remainder?
f(-2) = 0
f(-2) = -3
f(-2) = 9
f(-2) = 5
Simplify.
A
B
C
D
(2x2-98)/(2x2+18x+28)
Divide the Rational Expression
1/6
(x+10)/ (6x+60)
(x+8)/ (6x+60)
(x+10)(x+8)/ (6x+60)
R: All real number y≠ 1
R: All real number y≠ -3
R: All real number y≠ 1
R: All real number y≠ 3
What's the vertical asymptote of the function?
x = 5
x = 0
x =5 , x = -5
x = 25
What is the point of discontinuity?
x= 4
x= -4
x= 5
x= -5
28p7 / 54p
11p12 / 54p
14p11 / 27
14p6 / 27
