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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Sequences and Series
The sum to infinity of the geometric sequence [math]16, 8, 4, 2, ...[/math] is which number?
  1. [math]8[/math]
  2. [math]16[/math]
  3. [math]32[/math]
  4. [math]64[/math]
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 Complex Numbers CCSS: HSN-CN.C.8
Factor. [math]x^2+16[/math]
  1. [math]sqrt16i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt4[/math]
  4. [math](x+2i)(x-2i)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
How can one determine the coefficients of the Binomial Theorem expansion for [math](x+y)^n[/math], where [math]n[/math] is an integer? There may be more than one correct answer.
  1. Pascal's Triangle
  2. Binomial Permutation
  3. [math]({:(n),(k):}), \ k=0,...,n[/math]
  4. [math](n!)/(k!(n-k)!), \ k=0,...,n[/math]
Grade 12 Functions and Relations
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 Vectors CCSS: HSN-VM.A.1
What is the magnitude of a vector with points [math](-2,5)[/math] and [math](4,13) ?[/math]
  1. [math]10[/math]
  2. [math]5[/math]
  3. [math]sqrt(7)[/math]
  4. [math]sqrt(14)[/math]
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 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is [math]4x^3-2x^2+7x+5[/math] divided by [math](x+2)?[/math]
  1. [math](4x^2-10x+27)-49/(x+2)[/math]
  2. [math](4x^2-10x+27)[/math]
  3. [math](4x^2-10x+27)+59/(x+2)[/math]
  4. [math](4x^2-10x+27)-59/(x+2)[/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[27,9,12],[3,0,6],[18,21,3]][/math] is multiplied by the scalar [math]1/3[/math], what is the result?
  1. [math][[9,3,4],[1,0,2],[6,7,1]][/math]
  2. [math][[30,12,14],[6,3,9],[21,24,6]][/math]
  3. [math][[27,9,12],[3,0,6],[18,21,3]][/math]
  4. [math][[9,1,6],[3,0,7],[4,2,1]][/math]
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. [math]x^2+12[/math]
  1. [math]2sqrt3i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt12[/math]
  4. [math](x+2sqrt3i)(x-2sqrt3i)[/math]
Grade 12 Nonlinear Equations and Functions
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