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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math][[3,-9,5],[0,-1,4]] - [[4,-3,-11],[-3,0,7]] [/math]
  1. [math] [[-1,-12,-6],[-4,-1,-3]] [/math]
  2. [math] [[-1,6,-16],[3,1,-3]] [/math]
  3. [math] [[-1,-6,16],[3,-1,-3]][/math]
  4. Cannot subtract because they are not square matrices.
Grade 12 Matrices CCSS: HSN-VM.C.7
Find the resulting matrix if the matrix [math][[4,-2],[8,6]][/math] is multiplied by [math]3/2[/math].
  1. [math] [[6,-3],[12,9]] [/math]
  2. [math] [[12,-6],[24,18]][/math]
  3. [math] [[6,-2],[12,6]] [/math]
  4. [math] [[6,-3],[8,6]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Add the following matrices. [math] [[4,-3],[-1,6]] + [[3,5],[2,-8]][/math]
  1. [math] [[7,8],[3,14]][/math]
  2. [math] [[7,2],[1,-2]] [/math]
  3. [math] [[9,0],[-9,8]] [/math]
  4. [math] [[7,-2],[-3,-2]] [/math]
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of [math]f(x)=(-2)/(x+3) ?[/math]
  1. [math]x = 0[/math]
  2. [math]x = 3[/math]
  3. [math]x = -3[/math]
  4. [math]x = 2[/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
Subtract the matrices. [math][[3,-9,2]] - [[5],[8],[-3]][/math]
  1. [math] [[-2,-17,5]][/math]
  2. [math][[-2],[-17],[5]][/math]
  3. [math][[0,-5,0],[3,-17,2],[0,3,0]][/math]
  4. Cannot subtract matrices of different dimensions.
Grade 12 Matrices CCSS: HSN-VM.C.8
Multiply the matrices, if possible. [math] [[3,4],[-2,5],[0,2]] * [[4,-1],[5,3]] [/math]
  1. [math] [[8,-13,-2],[27,5,6]][/math]
  2. [math] [[12,-4],[-10,15],[0,2]] [/math]
  3. [math] [[32,9],[17,17],[10,6]][/math]
  4. Not possible.
Grade 12 Matrices CCSS: HSN-VM.C.8
Evaluate. [math] [[5,4],[-3,8],[-2,1]] + [[1,0],[-5,5],[9,-2]] [/math]
  1. [math] [[6,4],[2,3],[7,-1]][/math]
  2. [math] [[5,5],[ 2,3],[-4,10]][/math]
  3. [math] [[6,4],[-8,13],[7,-1]][/math]
  4. Not possible to add (they are not square matrices).
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 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 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.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 Matrices CCSS: HSN-VM.C.8
Evaluate. [math] [[4,8,-1,-1,3]] * [[2],[0],[-1],[3],[4]] [/math]
  1. [math] [18] [/math]
  2. [math] [[8],[0],[1],[-3],[12]] [/math]
  3. [math] [[8,0,1,-3,12]][/math]
  4. These matrices cannot be multiplied together.
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 Matrices CCSS: HSN-VM.C.10
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 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]
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