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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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Grade 10 Linear Equations
Which of the following is true for the equation [math]y=4x-2[/math]?
  1. slope=2, y intercept=4
  2. slope=-2, y intercept=4
  3. slope=4, y intercept=-2
  4. slope=4, y intercept=2
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
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 Inequalities
Determine the solution of the inequality. [math]x - 1 < - 4 or x + 2 >= 4[/math]
  1. [math]x < - 3 or x >= 2[/math]
  2. [math]x < - 5 or x >= 6[/math]
  3. [math]x = 1 or x = 2[/math]
  4. [math]x = 3 or x = - 2[/math]
Grade 10 Polynomials and Rational Expressions
Which of the following represents the simplified polynomial expression, given [math]3x^2y(3x^2y^2+7xy^3-4y^4)[/math] ?
  1. [math]9x^4y^6+21x^2y^3-12x^2y^4[/math]
  2. [math]6x^2y^2+10x^2y^3-7x^2y^4[/math]
  3. [math]9x^4y^3+21x^3y^4-12x^2y^5[/math]
  4. [math]6x^4y^3+10x^3y^4-7x^2y^5[/math]
Grade 10 Inequalities
Select the solution of the following: [math]-5 <= -2x + 3 <= 7[/math]
  1. [math]x >= 4 or x <= -2[/math]
  2. [math]-2 <= x <= 4[/math]
  3. [math]-4 <= x <= -2[/math]
  4. [math]-4 <= x <= 2[/math]
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What are the next 2 numbers in the sequence [math]1, 5, 9...[/math]?
  1. [math]45,225[/math]
  2. [math]14,18[/math]
  3. [math]13,17[/math]
  4. [math]32,128[/math]
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]a=v^2/r[/math]
  1. [math]r=a/v^2[/math]
  2. [math]r=v^2a[/math]
  3. [math]r=v^2/a[/math]
  4. [math]r=sqrt(v)/a[/math]
Grade 10 Algebraic Expressions
Grade 10 Polynomials and Rational Expressions
Factor the expression.
[math]x^4 - y^4[/math]
  1. [math](x - y)^4[/math]
  2. [math](x^2 + y^2)(x + y)(x - y)[/math]
  3. [math](x^2 + y^2)(x^2 - y^2)[/math]
  4. Can't be factored
Grade 10 Linear Equations CCSS: HSA-REI.C.5
Grade 10 Quadratic Equations and Expressions
Which equation has the same solutions as [math]x^2 + 6x - 7 = 0[/math]?
  1. [math](x + 3)^2 = 2[/math]
  2. [math](x - 3)^2 = 2[/math]
  3. [math](x - 3)^2 = 16[/math]
  4. [math](x + 3)^2 = 16[/math]
Grade 10 Linear Equations
Solve for y in the equation [math]4y+15=-5y+9 .[/math]
  1. [math]-6[/math]
  2. [math]-2/3[/math]
  3. [math]2/3[/math]
  4. [math]6[/math]
Grade 10 Quadratic Equations and Expressions
Which equation represents the parabola shown below?
Graph - Quadratic Function y=-1/2x^2
  1. [math]y=1/2 x^2[/math]
  2. [math]y=-1/2 x^2[/math]
  3. [math]y=2x^2[/math]
  4. [math]y=-2x^2[/math]
Grade 10 Quadratic Equations and Expressions
What is the vertex of the following equation? Also, is this a minimum or maximum?
[math] y = 3x^2 + 24x + 57 [/math]
  1. [math](-4,9)[/math], minimum
  2. [math](4,9)[/math], maximum
  3. [math](0,57)[/math], minimum
  4. [math](-12,87)[/math], minimum
Grade 10 Quadratic Equations and Expressions
Find the solution of the following: [math]x^2 + 5 = 32[/math].
  1. [math]x = +-9sqrt6[/math]
  2. [math]x = +-3sqrt3[/math]
  3. [math]x = +-sqrt32[/math]
  4. [math]x = +-3sqrt6[/math]
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