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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Functions and Relations CCSS: HSF-LE.B.5
The function [math]f(x)=(2x^2-7x+6)/(x^2+2x-8)[/math] has:
  1. a vertical asymptote at x=2, a horizontal asymptote of y=2, and a hole at x=-4.
  2. a horizontal asymptote at x=-4 and a hole at x=2.
  3. vertical asymptotes at both x=2 and x=-4.
  4. a horizontal asymptote at x=2 and a hole at x=-4.
  5. a vertical asymptote at x=-4, a horizontal asymptote of y=2, and a hole at x=2.
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Simplify [math](x^2-4x+3)/(x^2+4x-5)+(x^2+4x+3)/(x^2+6x+5)[/math]
  1. [math] (2x)/(x+5), \ x!= -1, 1[/math]
  2. [math](2x^2+6)/(2x^2+10x), \ x!= 0, -5[/math]
  3. [math](10(4x^2+3x))/(24x^2-10x-25)[/math]
  4. [math](6)/(x^2+6x+5) , \ x!= 1[/math]
Grade 12 Functions and Relations CCSS: HSF-IF.C.8b
Grade 12 Polynomials and Rational Expressions
Grade 12 Quadratic Equations and Expressions CCSS: HSF-LE.B.5
Solve for x: (x-2)(2x+3)=0
  1. -.3
  2. -2,-2/3
  3. 2,-3/2
  4. 2,3/2
Grade 12 Matrices CCSS: HSN-VM.C.6
Jack is keeping track of the scores for his favorite teams in a series of basketball games. He records the initials of the team and score for each game. Which matrix represents the data he collected?
Round 1
SC 67
RG 103
PD 89

Round 2
RG 109
SC 86
PD 111

Round 3
PD 42
SC 99
RG 121
  1. [math][[67,103,89],[109,86,111],[42,99,121]][/math]
  2. [math][[67,86,99],[103,109,121],[89,111,42]][/math]
  3. [math][[42,99,121],[111,86,109],[67,103,89]][/math]
  4. [math][[67,109,42],[103,86,99],[89,111,122]][/math]
Grade 12 Function and Algebra Concepts
[math](x)/(x-2)=-24 \ \ [/math] Solve for x.
  1. [math]x=24/5[/math]
  2. [math]x=12[/math]
  3. [math]x=-16[/math]
  4. [math]x=48/25[/math]
Grade 12 Quadratic Equations and Expressions
[math]x^2 -kx + k=1[/math] This equation has
  1. 2 solutions
  2. 1 solution
  3. no solutions
  4. 2 or 1 solution
Grade 12 Function and Algebra Concepts
Grade 12 Exponents
[math]x^(2/3)x^(5/2)[/math]
  1. [math]x^(10/6)[/math]
  2. [math]x^(19/6)[/math]
  3. [math]x^(1/6)[/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which matrix represents the system of equations [math]2x=8[/math] and [math]6=3y+x[/math]?
  1. [math][[2,8,0],[6,3,1]][/math]
  2. [math][[8,2,0],[6,3,1]][/math]
  3. [math][[0,2,8],[6,3,1]][/math]
  4. [math][[2,0,8],[1,3,6]][/math]
Grade 12 Vectors CCSS: HSN-VM.A.2
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