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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 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 Function and Algebra Concepts
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (3pi/2)[/math]?
  1. [math]-1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]1/2[/math]
Grade 12 Function and Algebra Concepts
Grade 12 Function and Algebra Concepts
Grade 12 Quadratic Equations 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 Function and Algebra Concepts
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 Functions 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 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 and a hole a hole at x=2
Grade 12 Inequalities
Write in interval notation: [math]-5ltxleq4[/math]
  1. [math][-5,4][/math]
  2. [math](-5,4)[/math]
  3. [math][-5,4)[/math]
  4. [math](-5,4][/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]1/(x^2-5x)+x/(x-5)=[/math]
  1. [math](x^2+1)/(x(x-5))[/math]
  2. [math](x+1)/(x-5)[/math]
  3. [math](x-1)/(x-5)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
On [math]f(x)=2x^5+x^3-3x[/math]
  1. [math](-0.65,1.4)[/math] is a relative and absolute maximum.
  2. [math](0.65,-1.4)[/math] is a relative and absolute minimum.
  3. [math](-0.65,1.4)[/math] is a relative maximum.
  4. [math](0.65,-1.4)[/math] is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
Grade 12 Vectors CCSS: HSN-VM.A.1
The magnitude of a vector with points [math](-2,5)[/math] and [math](4,13)[/math] is
  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.C.4
[math](a+b)^2[/math]
Step 1: [math](a+b)(a+b)[/math]
Step 2: [math]a^2+ab+ab+b^2[/math]
Step 3: [math]a^2+ab^2+b^2[/math]
  1. The proof is correct
  2. Step 1 has an error
  3. Step 2 has an error
  4. Step 3 has an error
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](x^2-64)/(x(x+8))*x/(x-8)[/math] =
  1. 1
  2. [math](x^3-64x)/((x+8)(x-8)[/math]
  3. [math](x^2-8)/(x^2-64)[/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 [math]5[/math], 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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