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You can create printable tests and worksheets from these Grade 11 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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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product $(x + 5)(x^3 - 2x -3)?$
1. $x^4 + 5x^3 - 2x^2 - 7x -15$
2. $x^4 + 5x^3 - 2x^2 - 13x - 15$
3. $x^4 + 5x^3 - 2x^2 - 10x - 15$
4. $x^4 + 5x^3 - 2x^2 - 3x - 15$
Express as a single logarithm. $2log(x) - 5log(y) + 3log(z)$
1. $log((x^2 z^3)/y^5)$
2. $-30log(xyz)$
3. $-log(x^2 y^5 z^3)$
4. $log((x^2 y^5)/z^3)$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the rational expression.

$(3x(x-3))/((x-3)(x+3))$
1. $(x-3)/x, \ \ x!=-3,3$
2. $(3x)/(x+3), \ \ x!= 3$
3. $(x+3)/(x-3), \ \ x!=-3$
4. $1/(x-3), \ \ x!= -3$
Grade 11 Polynomials and Rational Expressions
Given: $(5x + 6)(8x - 4)$

The product of the given is:
1. $13x + 2$
2. $40x - 24$
3. $40x^2 + 24$
4. $40x^2 - 20x + 48x - 24$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.C.4
Factor. $27x^3 + 64$
1. $(3x-4)(9x^2 + 12x + 16)$
2. $(3x + 4)(9x^2 - 12x + 16)$
3. $(3x+4)(9x^2 + 12x + 16)$
4. $"Can't factor further"$
What is the equation of the line with a slope of 3 through (-1, 4)?
1. y + 4 = 3(x + 1)
2. y - 4 = 3(x + 1)
3. y - 4 = 3(x - 1)
4. y + 4 = 3(x - 1)
5. None of the above
Solve. $root[4](8^(5)) = 16^(3x)$
1. $x = 5/12$
2. $x = 5/16$
3. $x = 15/14$
4. $x = 5/14$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide and simplify the expression $(x-2)/(5x+10)-:(3)/(3x+6)$.
1. $5/(x-2), \ \ x!=-2$
2. $(3(x-2))/(15(x+2)^2)$
3. $(x-2)/5, \ \ x!=-2$
4. $(3(x-2))/(15(x+2))$
Grade 11 Functions and Relations CCSS: HSF-BF.B.3
If y = f(x) is transformed to y = f(x) - 2, the function                     .
1. shifts right 2 units
2. shifts down 2 units
3. shifts left 2 units
4. shifts up 2 units
For $A = [[16, 8, 32], [4, 0, 12], [8, 24, 20]]$, find $1/4 A$.
1. $[[4, 2, 8],[4, 0, 12], [8, 24, 20]]$
2. $[[ 4, 8, 32],[1, 0, 12],[2,24,20]]$
3. $[[4,2,8],[1,0,3],[2,6,5]]$
4. $"Does not exist (because of 0 in matrix)"$
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Factor the quadratic trinomial $x^2-29x+100$.
1. $(x+25)(x-4)$
2. $(x+25)(x+4)$
3. $(x-25)(x-4)$
4. $(x-25)(x+4)$
Simplify: $(2x)^4/(2x^4)$
1. $8, \ x!=0$
2. $4$
3. $2, \ x!=0$
4. $1$
Grade 11 Polynomials and Rational Expressions
Simplify. $(a - 1)/[(a)^2-1]$
1. $1/a, \ a!=0$
2. $1/(a - 1), \ a!= -1$
3. $1/(1- a), \ a!=1$
4. $1/(a + 1), \ a!=1$
Find the point(s) of intersection of the following equations.
$y=4x+2$
$y=2(x-1)^2-2$
1. No intersection
2. $(1,6), \ (-1,-2)$
3. $(2+sqrt(3),10+4sqrt(3)), \ (2-sqrt(3), 10-4sqrt(3))$
4. $(2+sqrt(5),10+4sqrt(5)), \ (2-sqrt(5),10-4sqrt(5))$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.6
Simplify the expression $(x-7)/(x^2-x-42)$.
1. $1/(x+7), \ x!=-6$
2. $1/(x+6), \ x!= 7$
3. $x+7, \ x!= -6, 7$
4. $x+6, \ x!= -6, 7$
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.D.7
Divide and simplify. $(3x)/(x+9)-:(x)/(3x+27) \ \ \ (x!=-9,0)$
1. $x^2/(x+9)^2$
2. $9/x$
3. $x/9$
4. $9$
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