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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the domain of the logarithmic function f(x) = log base 2 (x)?
  1. All real numbers
  2. All positive real numbers
  3. All negative real numbers
  4. All positive real numbers except 0
Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Grade 12 Vectors CCSS: HSN-VM.A.1
Two vectors with the same magnitude are equal.
  1. They are always equal.
  2. They are never equal.
  3. It depends on their direction.
  4. It depends on their initial point.
Grade 12 Matrices CCSS: HSN-VM.C.10
If A is a given square matrix, and it is known that there exists a matrix B such that AB=1, which of the following would be the most efficient ways to find the matrix B?
  1. Find the inverse of A. This is the matrix B.
  2. Find the transpose of A. This is the matrix B.
  3. Create a matrix B whose elements are variables. Then, perform matrix multiplication with the matrix A, setting each resulting entry equal to one. Solve this system of equations, which will give the elements of matrix B.
  4. Multiply both sides of the equation, on the left, by slight variations of the matrix A. When one of these matrices, multiplied by A, becomes the identity matrix, this is the matrix B.
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
How can one determine the coefficients of the Binomial Theorem expansion for (x+y)n, where n is an integer? There may be more than one correct answer.
  1. Pascal's Triangle
  2. Binomial Permutation
  3. (nk), k=0,...,n
  4. n!k!(n-k)!, k=0,...,n
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Grade 12 Vectors CCSS: HSN-VM.A.1
Two vectors with the same direction are equal.
  1. They are always equal.
  2. They are never equal.
  3. It depends on their magnitude.
  4. It depends on their end point.
Grade 12 Polynomials and Rational Expressions
Grade 12 Functions and Relations
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