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Nonlinear Equations and Functions Questions - All Grades

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Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]y[/math].
[math](20y-12)/(4y)=4[/math]
  1. [math]3[/math]
  2. [math]5[/math]
  3. [math]2[/math]
  4. [math]-1[/math]
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]t[/math].
[math]sqrt(5t+11)=6[/math]
  1. [math]11[/math]
  2. [math]46/55[/math]
  3. [math]10[/math]
  4. [math]5[/math]
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for all possible values of [math]x[/math]. [math]sqrt(x^2+4x-16)=4[/math]
  1. No Solution
  2. [math]-8, 4[/math]
  3. All real numbers
  4. [math]-4, 16[/math]
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Grade 9 Nonlinear Equations and Functions CCSS: HSF-BF.A.1, HSF-BF.A.1a, HSF-LE.B.5
In the year 2000, the population of Virginia was about 7,400,000. Between the years 2000 and 2004, the population in Virginia grew at a rate of 5.4%. At this growth rate, what function gives the population x years after 2000?
  1. [math] f(x) = 7,400,000 (1 + .054)^x [/math]
  2. [math] f(x) = 7,400,000 (1 - .054)^x [/math]
  3. [math] f(x) = 7,400,000 (.054)^x [/math]
  4. [math] f(x) = 7,400,000x^(.054) [/math]
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]x[/math].
[math](2x-3)/(x-5)=3[/math]
  1. [math]12[/math]
  2. [math]21/7[/math]
  3. [math]2[/math]
  4. [math]2/3[/math]
Grade 12 Nonlinear Equations and Functions
Grade 10 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]x[/math].
[math]sqrt(7x)/x=x/7[/math]
  1. [math]1[/math]
  2. [math]1/7[/math]
  3. [math]7[/math]
  4. [math]-1[/math]
Grade 12 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for x.
[math](x-17)/(x)=108[/math]
  1. x = 17/107
  2. x = -19/267
  3. x = -17/107
  4. x = -23/84
Grade 11 Nonlinear Equations and Functions CCSS: HSA-SSE.B.3, HSA-SSE.B.3c
Does the function [math]y=4^(-2x)[/math] represent exponential growth or decay? What is the percent rate of change?
  1. exponential growth; 4%
  2. exponential decay; 93.75%
  3. exponential growth; 83.5%
  4. exponential decay; 6.25%
Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Grade 11 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for [math]m[/math]. [math](2m)/(m+3) = 4[/math]
  1. [math]m=2[/math]
  2. [math]m = -6[/math]
  3. [math]m=3[/math]
  4. [math]m = 3/7[/math]
Grade 12 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
Solve for x.
[math](x)/(x-2)=-24 \ \ [/math]
  1. [math]x=24/5[/math]
  2. [math]x=12[/math]
  3. [math]x=-16[/math]
  4. [math]x=48/25[/math]
Grade 10 Nonlinear Equations and Functions
Grade 9 Nonlinear Equations and Functions
[math]4x^3 = - 1/54[/math]
  1. [math]- 1/3[/math]
  2. [math]- 1/6[/math]
  3. [math]- 1/9[/math]
  4. [math]- 1/12[/math]
Grade 10 Nonlinear Equations and Functions
If [math]4x^3 = - 1/54, x = [/math]
  1. [math]- 1/3[/math]
  2. [math]- 1/6[/math]
  3. [math]- 1/9[/math]
  4. [math]- 1/12[/math]
Grade 9 Nonlinear Equations and Functions CCSS: HSA-REI.A.2
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