Algebra Problems
danmelvanderson_i01c
algebra_problems.docxQUESTION 1
1. Select the graph of the quadratic function ƒ(x) = 4 - x2. Identify the vertex and axis of symmetry.
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Vertex: (0,4) Axis of symmetry: y-axis
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Vertex: (0,2) Axis of symmetry: y-axis
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Vertex: (0,5) Axis of symmetry: y-axis
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Vertex: (0,3) Axis of symmetry: y-axis
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Vertex: (0,1) Axis of symmetry: y-axis
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5 points
QUESTION 2
1. Select the graph of the quadratic function ƒ(x) = x2 + 3. Identify the vertex and axis of symmetry.
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Vertex: (0,4) Axis of symmetry: y-axis
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Vertex: (0,5) Axis of symmetry: y-axis
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Vertex: (0,1) Axis of symmetry: y-axis
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Vertex: (0,3) Axis of symmetry: y-axis
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Vertex: (0,2) Axis of symmetry: y-axis
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5 points
QUESTION 3
1. Determine the vertex of the graph of the quadratic function
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5 points
QUESTION 4
1. Determine the x-intercept(s) of the quadratic function
ƒ(x) = x2 + 4x - 32
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(-4,0), (8,0) |
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(0,0), (7,0) |
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(4,0), (-8,0) |
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(0,0), (-7,0) |
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no x-intercept(s) |
5 points
QUESTION 5
1. Write a polynomial that fits the description.
A fifth-degree polynomial with leading coefficient 4
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1024x5 + 3x + 1 |
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4x5 + 3x + 1 |
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4x4 + 3x3 + 4x2 + 5x + 1 |
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6x5 + 3x + 1 |
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x5 + 4 |
5 points
QUESTION 6
1. Perform the operation and write the result in standard form.
(3x2 + 5) - (x2 - 4x + 5)
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3x2 + 4x |
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2x2 + 4x + 5 |
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2x2 - 4x |
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2x2 + 4x |
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2x2 + 4x - 5 |
5 points
QUESTION 7
1. Multiply or find the special product.
(x+4)(x+9)
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x2 + 13x |
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x2 + 4x + 36 |
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x2 + 36 |
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x2 + 13x + 36 |
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x2 + 13x + 9 |
5 points
QUESTION 8
1. Factor out the common factor.
8x3 - 104x
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8x3(1-13x) |
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8(x3-13x) |
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8x2(x-13) |
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x(8x2-104) |
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8x(x2-13) |
5 points
QUESTION 9
1. Factor the Trinomial.
x2 + 14x + 45
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(x-5)(x-9) |
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(x+5)(x-9) |
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(x+5)(x+9) |
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(x-5)-(x-9) |
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(x-5)(x+9) |
5 points
QUESTION 10
1. Determine whether the value of x=0 is a solution of the equation.
5x-3 = 3x+5
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yes |
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no |
5 points
QUESTION 11
1. Solve the equation and check your solution.
67x - 24 = 3x + 8(8x-3)
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3 |
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67 |
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-3 |
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-67 |
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All real numbers |
5 points
QUESTION 12
1. Solve the quadratic equation by factoring.
x2 - 6x + 5 = 0
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-1,5 |
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-1,-5 |
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1,-5 |
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1,5 |
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6,5 |
5 points
QUESTION 13
1. Solve the equation and check your solution. (If not possible, explain why)
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8 |
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7/17 |
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15/8 |
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12 |
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15 |
5 points
QUESTION 14
1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line.
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y=6x+6
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y=6x+6
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y = -6x-6
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y = -2x - 6
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y = 6x-6
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5 points
QUESTION 15
1. Evaluate the function at q(3)
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1/8 |
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1/6 |
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1/4 |
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1/7 |
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1/5 |
5 points
QUESTION 16
1. Does the table describe a function?
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yes |
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no |
5 points
QUESTION 17
1. Find the domain of the function.
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All real numbers x |
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Non-negative real numbers x such that x ≠ 0 |
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Non-negative real numbers x |
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All real numbers x such that x<0 |
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All real numbers x such that x>0 |
5 points
QUESTION 18
1. Find the zeroes of the function algebraically.
ƒ(x) = 2x2 - 3x - 20
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-5/2, 4 |
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-5/2, -4 |
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-2/5, 4 |
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5/2, -4 |
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5/2, 4 |
5 points
QUESTION 19
1. Find (f+g)(x)
ƒ(x) = 2x - 4, g(x) = 6 - x
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3x - 2 |
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2x - 2 |
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2x + 2 |
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3x + 2 |
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x+2 |
5 points
QUESTION 20
1. Find g ∘ f
ƒ(x) = x3, g(x) = x - 1
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x3 - 1 |
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x3 |
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(x - 1)3 |
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(x3 + 1) |
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(x + 1)3 |
