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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented 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 Quadratic Equations and Expressions CCSS: HSF-LE.B.5
Solve for x: [math](x - 2)(2x + 3) = 0[/math]
  1. -.3
  2. -2, -2/3
  3. 2, -3/2
  4. 2, 3/2
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 5, what is the result?
  1. [math][[7,14,13],[5,8,9],[6,16,8]][/math]
  2. [math][[10,45,40],[0,15,20],[5,55,15]][/math]
  3. [math][[3,4,1],[11,3,2],[9,8,0]][/math]
  4. [math][[10,0,5],[45,15,55],[40,20,15]][/math]
Grade 12 Sequences and Series
The sum to infinity of the geometric sequence [math]16, 8, 4, 2, ...[/math] is
  1. [math]8[/math]
  2. [math]16[/math]
  3. [math]32[/math]
  4. [math]64[/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[1,2],[3,4]][/math].
  1. [math][[-2,1],[3/2,-1/2]][/math]
  2. [math][[4,-2],[-3,1]][/math]
  3. [math][[4,2],[3,1]][/math]
  4. [math][[1,-2],[-3,4]][/math]
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 Nonlinear Equations and Functions
Grade 12 Nonlinear Equations and Functions
Solve for x.
[math](x-17)/(x)=108[/math]
  1. x= 17/107
  2. x= -19/267
  3. x= -17/107
  4. x= -23/84
Grade 12 Nonlinear Equations and Functions
Grade 12 Nonlinear Equations and Functions
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 Nonlinear Equations and Functions CCSS: HSF-IF.C.8b
A town begins with 100 people and after 100 years has a population of 3200. The population has
  1. doubled every 25 years
  2. quadruped every 30 years
  3. tripled every 10 years
  4. doubled every 20 years
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[2,5],[1,6]][/math].
  1. [math][[42,-35],[-7,14]][/math]
  2. [math][[6/17,-5/17],[-1/17,2/17]][/math]
  3. [math][[2/7,5/7],[1/7,6/7]][/math]
  4. [math][[6/7,-5/7],[-1/7,2/7]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[0,6],[2,8]][/math].
  1. [math][[4/6,2/4],[2/12,6/0]][/math]
  2. [math][[-2/3,1/2],[1/6,0]][/math]
  3. [math][[0,1/2],[1/6,2/3]][/math]
  4. [math][[96,-72],[-24,0]][/math]
Grade 12 Polynomials and Rational Expressions
Grade 12 Functions and Relations CCSS: HSF-IF.C.8b
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