Want to see correct answers?
Login or join for free!
  Algebra Worksheets
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
Share/Like This Page
Filter By Grade

You are browsing Grade 11 questions. View questions in All Grades.

Grade 1 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 College

Eleventh Grade (Grade 11) Function and Algebra Concepts Questions

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.

Previous Page 1 of 68 Next
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the following function. [math]f(x) = 4x^3 + 2[/math]
  1. [math]f^{-1}(x) = (x^3-2)/4[/math]
  2. [math]f^{-1}(x) = (root[3](x) - 2)/4[/math]
  3. [math]f^{-1}(x) = root[3]((x-2)/4) [/math]
  4. [math]f^{-1}(x) = root[3](x-2)/4[/math]
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find the function [math](f/g)(x)[/math] and its domain if [math]f(x) = sqrt(-x)[/math] and [math]g(x) = sqrt(x+5)[/math].
  1. [math](-x)/(x+5); \ \ -5 < x <= 0[/math]
  2. [math](-x)/(x+5); \ \ x!=-5[/math]
  3. [math]sqrt((-x)/(x+5)); \ \ -5 < x <= 0[/math]
  4. [math]sqrt((-x)/(x+5)); \ \ x <-5 or x >= 0[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. [math](-3+7i) + (3 - i)[/math]
  1. [math]6i[/math]
  2. [math]6 + 8i[/math]
  3. [math]-6 + 6i[/math]
  4. [math]6 + 6i[/math]
Grade 11 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Jeremy is working with the Fundamental Theorem of Algebra, and thinks he's found an exception. Looking at [math]f(x) = 4(x-1)^2[/math], this will result in only one root, [math]x=1[/math]. Therefore, despite this being a second degree polynomial, there is only one root. Is this correct?
  1. Yes, this is a known exception.
  2. No, this is not a polynomial, it is a quadratic function.
  3. No, if the quadratic formula is used, the other root is found.
  4. No, this root has multiplicity of 2, which means it counts as two roots.
Grade 11 Polynomials and Rational Expressions CCSS: HSN-CN.C.9
Looking at the graph of a quadratic polynomial, roots or zeros correspond to where the graph crosses the x-axis. When the graph just touches the x-axis, this corresponds to a double root. The Fundamental Theorem of Algebra states that a quadratic polynomial will always have 2 roots. How is this reconciled with a quadratic polynomial whose graph does not intersect the x-axis?
  1. Quadratic polynomials always intersect the x-axis.
  2. If a quadratic polynomial doesn't cross the x-axis it is no longer a polynomial, and the Fundamental Theorem of Algebra no longer applies.
  3. When a quadratic polynomial doesn't cross the x-axis, this simply implies that its roots are complex with non-zero imaginary parts.
  4. Simply translate the quadratic polynomial till it does cross the x-axis.
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse. [math]f(x) = (x-8)/(x+1)[/math]
  1. [math]f^{-1}(x) = (x-1)/(x+8)[/math]
  2. [math]f^{-1}(x) = -9/(x+1)[/math]
  3. [math]f^{-1}(x) = (-x-8)/(x-1)[/math]
  4. [math]f^{-1}(x) = (x-8)/x[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. [math](-13+i) / (4+4i[/math]
  1. [math]"Undefined"[/math]
  2. [math]-13/4 + 1/4 i[/math]
  3. [math]- 3/2 + 7/4 i[/math]
  4. [math] -7/4 + 7/4 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate. [math](5 - 6i) - (-3 + 9i)[/math]
  1. [math]2 + 3i[/math]
  2. [math]2 - 3i[/math]
  3. [math]8 - 15i[/math]
  4. [math]8 + 3i[/math]
Grade 11 Radicals CCSS: HSF-IF.A.1
Which of the following is the correct domain for the function [math]f(x) = 5sqrt(x-3) ?[/math]
  1. [math]{x in RR | x >= 3}[/math]
  2. [math]{x in RR | x >= 0}[/math]
  3. [math]{x in RR | x >= 3/5}[/math]
  4. [math]{x in RR | x <= 3/5}[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. [math](9-3i) / (-6-3i)[/math]
  1. [math]0[/math]
  2. [math]-1+i[/math]
  3. [math]1-i[/math]
  4. [math]-5/3 + 5/3 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Write the expression as a complex number in standard form.

[math](3 - 5i)(1 + 3i)[/math]
  1. [math]3 - 15i[/math]
  2. [math]-2i + 4i[/math]
  3. [math]18 + 4i[/math]
  4. [math]15 - 2i[/math]
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 Logarithms CCSS: HSF-BF.B.5, HSF-LE.A.4
[math]2^x=64[/math] is equivalent to which of the following?
  1. [math]log_64 x=2[/math]
  2. [math]log_2 64=x[/math]
  3. [math]log_2 x=64[/math]
  4. [math]log_x 64=2[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. [math]3i - (-5 + 3i)[/math]
  1. [math]5[/math]
  2. [math]-5 - 6i[/math]
  3. [math]5 + 6i[/math]
  4. [math]-5[/math]
Previous Page 1 of 68 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.