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You can create printable tests and worksheets from these Grade 12 Function and Algebra Concepts questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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Evaluate. $[[3,-9,5],[0,-1,4]] - [[4,-3,-11],[-3,0,7]]$
1. $[[-1,-12,-6],[-4,-1,-3]]$
2. $[[-1,6,-16],[3,1,-3]]$
3. $[[-1,-6,16],[3,-1,-3]]$
4. Cannot subtract because they are not square matrices.
Find the resulting matrix if the matrix $[[4,-2],[8,6]]$ is multiplied by $3/2$.
1. $[[6,-3],[12,9]]$
2. $[[12,-6],[24,18]]$
3. $[[6,-2],[12,6]]$
4. $[[6,-3],[8,6]]$
Add the following matrices. $[[4,-3],[-1,6]] + [[3,5],[2,-8]]$
1. $[[7,8],[3,14]]$
2. $[[7,2],[1,-2]]$
3. $[[9,0],[-9,8]]$
4. $[[7,-2],[-3,-2]]$
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of $f(x)=(-2)/(x+3) ?$
1. $x = 0$
2. $x = 3$
3. $x = -3$
4. $x = 2$
Multiply the matrices, if possible. $[[3,4],[-2,5],[0,2]] * [[4,-1],[5,3]]$
1. $[[8,-13,-2],[27,5,6]]$
2. $[[12,-4],[-10,15],[0,2]]$
3. $[[32,9],[17,17],[10,6]]$
4. Not possible.
Subtract the matrices. $[[3,-9,2]] - [[5],[8],[-3]]$
1. $[[-2,-17,5]]$
2. $[[-2],[-17],[5]]$
3. $[[0,-5,0],[3,-17,2],[0,3,0]]$
4. Cannot subtract matrices of different dimensions.
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
What is $4x^3-2x^2+7x+5$ divided by $(x+2)?$
1. $(4x^2-10x+27)-49/(x+2)$
2. $(4x^2-10x+27)$
3. $(4x^2-10x+27)+59/(x+2)$
4. $(4x^2-10x+27)-59/(x+2)$
Evaluate. $[[5,4],[-3,8],[-2,1]] + [[1,0],[-5,5],[9,-2]]$
1. $[[6,4],[2,3],[7,-1]]$
2. $[[5,5],[ 2,3],[-4,10]]$
3. $[[6,4],[-8,13],[7,-1]]$
4. Not possible to add (they are not square matrices).
Evaluate. $[[4,8,-1,-1,3]] * [[2],[0],[-1],[3],[4]]$
1. $[18]$
2. $[[8],[0],[1],[-3],[12]]$
3. $[[8,0,1,-3,12]]$
4. These matrices cannot be multiplied together.
What is the magnitude of a vector with points $(-2,5)$ and $(4,13) ?$
1. $10$
2. $5$
3. $sqrt(7)$
4. $sqrt(14)$
The sum to infinity of the geometric sequence $16, 8, 4, 2, ...$ is which number?
1. $8$
2. $16$
3. $32$
4. $64$
Which augmented matrix represents the system of equations $2x=8$ and $6=3y+x$?
1. $[[2,8,,0],[6,3,,1]]$
2. $[[8,2,,0],[6,3,,1]]$
3. $[[0,2,,8],[6,3,,1]]$
4. $[[2,0,,8],[1,3,,6]]$
The function $f(x)=(2x^2-7x+6)/(x^2+2x-8)$ 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.
If the matrix $[[2,9,8],[0,3,4],[1,11,3]]$ is multiplied by the scalar 5, what is the result?
1. $[[7,14,13],[5,8,9],[6,16,8]]$
2. $[[10,45,40],[0,15,20],[5,55,15]]$
3. $[[3,4,1],[11,3,2],[9,8,0]]$
4. $[[10,0,5],[45,15,55],[40,20,15]]$
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor. $x^2+16$
1. $sqrt16i$
2. $(x-4i)(x+4i)$
3. $+-sqrt4$
4. $(x+2i)(x-2i)$
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?