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Twelfth Grade (Grade 12) Function and Algebra Concepts Questions

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Grade 12 Logarithms

If you invest $1000 at a 5% annual interest rate compounded annually, how much will you have after 5 years?

$1250.00
$1276.28
$1500.00
$1628.89

Grade 12 Matrices CCSS: HSN-VM.C.10

Find the inverse of the following matrix, if it exists.

$[[4,-3,8],[1,0,2],[-5,6,4]]$

There is no inverse of this matrix.
$[[-2/7, 10/7, -1/7],[-1/3, 4/3, 0],[1/7, -3/14, 1/14]]$
$[[2/7, -10/7, 1/7],[1/3, -4/3, 0],[-1/7, 3/4, -1/4]]$
$[[-2/7, -10/7, -1/7],[1/3, 4/3, 0],[1/7, 3/4, 1/4]]$

Grade 12 Functions and Relations CCSS: HSN-VM.C.10

Which of the following are identity matrices? There may be more than one correct answer.

$[[1,0,0],[0,1,0],[0,0,1]]$
$[[1,0,0],[1,0,0],[1,0,0]]$
$[[1,0],[0,1]]$
$[[1,1],[1,1]]$

Grade 12 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Jamal is offered 2 investment plans. Plan A doubles the investment every 12 years. Plan B triples the investment every 20 years. If Jamal wants to withdraw his investment in 60 years, which plan should he choose?

Plan A
Plan B
They are both the same
Not enough information

Grade 12 Polynomials and Rational Expressions CCSS: HSN-CN.C.9

What is the maximum number of purely imaginary roots that the polynomial

$x^3-x^6-x-x^7$ can have?

Grade 12 Complex Numbers CCSS: HSN-CN.C.8

Factor.

$x^2+12$

$2sqrt3i$
$(x-4i)(x+4i)$
$+-sqrt12$
$(x+2sqrt3i)(x-2sqrt3i)$

Grade 12 Matrices CCSS: HSN-VM.C.7

If the matrix

$[[27,9,12],[3,0,6],[18,21,3]]$ is multiplied by the scalar

$1/3$ , what is the result?

$[[9,3,4],[1,0,2],[6,7,1]]$
$[[30,12,14],[6,3,9],[21,24,6]]$
$[[27,9,12],[3,0,6],[18,21,3]]$
$[[9,1,6],[3,0,7],[4,2,1]]$

Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.4

Is the following proof correct? If not, identify the first step that has an error.

$"Prove: " \ (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2$

Left Side:

$(x^2+y^2)^2$
Step 1:

$(x^2+y^2)(x^2+y^2)$
Step 2:

$x^4-2x^2y^2+4x^2y^2+y^4$
Step 3:

$(x^2-y^2)^2+(2xy)^2$

The proof is correct.
Step 1 has an error.
Step 2 has an error.
Step 3 has an error.

Grade 12 Matrices CCSS: HSN-VM.C.10

What is the determinant of

$[[15,3],[-6,4]]$ ?

Grade 12 Functions and Relations

functions are symmetric with the y-axis. functions are symmetric with the origin.

Odd, Even
Even, Odd
Odd, Odd
Even, Even

Grade 12 Matrices CCSS: HSN-VM.C.8

If Matrix A =

$[(-3,1),(-2,4),(5,-1)]$ and Matrix B =

$[(4,-3),(0,-2),(-2,4)]$ , then what is 3A - 2B?

$[(-1,-3),(-6,8),(11,5)]$
$[(-1,9),(-6,8),(11,5)]$
$[(-1,9),(-6,8),(11,-11)]$
$[(-17,9),(-6,16),(19,-11)]$

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

Which property of logarithms states that the logarithm of a quotient is equal to the difference of the logarithms of its numerator and denominator?

Product property
Quotient property
Power property
Change of base property