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Eleventh Grade (Grade 11) Function and Algebra Concepts Questions

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Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
What is the product [math](x + 5)(x^3 - 2x -3)?[/math]
  1. [math]x^4 + 5x^3 - 2x^2 - 7x -15[/math]
  2. [math]x^4 + 5x^3 - 2x^2 - 13x - 15[/math]
  3. [math]x^4 + 5x^3 - 2x^2 - 10x - 15[/math]
  4. [math]x^4 + 5x^3 - 2x^2 - 3x - 15[/math]
Grade 11 Quadratic Equations and Expressions
What is the simplified form of [math](3x^3y^-4)^-2?[/math]
Exponent answers must have positive exponents in them.
  1. [math]y^8/(6x^-2)[/math]
  2. [math](9y^8)/(x^6)[/math]
  3. [math](y^8)/(9x^6)[/math]
  4. [math](y^8)/(9x^-6)[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Which of the following relations IS a function?
  1. [math]{(-5,1), (0, -3), (-2, 1), (10,11), (7, 1)}[/math]
  2. [math]{(9, 3), (6, 2), (3, 2), (3, 1), (6, -2)}[/math]
  3. [math]{(4, 9), (5, 3), (-2, 0), (5, 4), (8, 1)}[/math]
  4. All of the relations are functions.
  5. None of the relations are functions.
Grade 11 Functions and Relations
What is the most common function notation for an equation of a linear function?
  1. y = mx + b
  2. y = ax + bx + c
  3. f(x) = mx + b
  4. f(x) = a(x - h) + k
Grade 11 Exponents
Simplify. [math](2x)^4/(2x^4)[/math]
  1. [math] 8, \ x!=0 [/math]
  2. [math] 4 [/math]
  3. [math] 2, \ x!=0 [/math]
  4. [math] 1 [/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
Given that [math]x+3[/math] is factor of polynomial [math]p(x) = ax^3+53x^2+46x-15[/math], what is the value of [math]a ?[/math]
  1. [math]200/9[/math]
  2. [math]-3[/math]
  3. [math]"Not enough information"[/math]
  4. [math]12[/math]
Grade 11 Polynomials and Rational Expressions
[math]81 - 9k^2[/math]
  1. [math](3k - 9)(3k - 9)[/math]
  2. [math](9 + 3k)(9 - 3k)[/math]
  3. [math](3k + 9)(3k - 9)[/math]
  4. [math](9 + 3k) (9 + 3k)[/math]
Grade 11 Sequences and Series CCSS: HSA-SSE.B.4
Find the sum of the finite geometric series.
[math]1+4+16+64 +...+4^9[/math]
  1. [math]516[/math]
  2. [math]2,073.3[/math]
  3. [math]25,347[/math]
  4. [math]349,525[/math]
  5. none of these are correct
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Grade 11 Polynomials and Rational Expressions
Simplify. [math](a - 1)/[(a)^2-1][/math]
  1. [math]1/a, \ a!=0[/math]
  2. [math]1/(a - 1), \ a!= -1[/math]
  3. [math]1/(1- a), \ a!=1 [/math]
  4. [math]1/(a + 1), \ a!=1[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
Grade 11 Polynomials and Rational Expressions CCSS: HSA-APR.B.2
Given polynomial [math]q(x)[/math], such that [math]q(4)=0[/math], what is a possible answer for [math]q(x)[/math] divided by [math]x-4 ?[/math]
  1. [math]3x^2 + 3 - 4/(x-4)[/math]
  2. [math]x-10[/math]
  3. [math]x^2 + 1 + 2/(x-4)[/math]
  4. [math]x + 2 - 4/(x-4)[/math]
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