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Ninth Grade (Grade 9) Function and Algebra Concepts Questions

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Grade 9 Inequalities
What is the solution set to the inequality [math]-3x+2>=17[/math] ?
  1. [math]x > -5[/math]
  2. [math]x>=-5[/math]
  3. [math]x<-5[/math]
  4. [math]x<=-5[/math]
Grade 9 Algebraic Expressions
Simplify.
[math]2x + 3x^2 - 5x +4 - 7x^2[/math]
  1. [math]7x^2 +4[/math]
  2. [math]7x +10x^2 +4[/math]
  3. [math]-4x^2 -3x +4[/math]
  4. [math]-3x^6[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.

[math](3x^2+3x+1) + (x^2+x+5)[/math]
  1. [math]4x^2+4x+6[/math]
  2. [math]3x^2-2x+4[/math]
  3. [math]4x^2-4x-6[/math]
  4. [math]2x^2+2x-4[/math]
Grade 9 Inequalities CCSS: HSA-REI.B.3
Grade 9 Functions and Relations CCSS: HSF-LE.A.1a
A function which has a constant difference per interval is
  1. linear.
  2. exponential.
  3. logarithmic.
  4. none of the above.
Grade 9 Algebraic Expressions
Which of the expressions below is equivalent to [math]b(5a^2+2)+b(2a^2+5)[/math]?
  1. [math]7a^2b+7b[/math]
  2. [math]7a^2b+2b+5[/math]
  3. [math]10a^2b+10b[/math]
  4. [math](10a^2+10)b[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
[math]3x^2 * (4x^3 - 7)[/math]
  1. [math]12x^6[/math]
  2. [math]4x^3 + 3x^2 - 7[/math]
  3. [math]7x^5 - 4x^2[/math]
  4. [math]12x^5 - 21x^2[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Subtract.
[math](2m^5 + 3m^2 -7) - (4m^4 - 2m^3 + 5m)[/math]
  1. [math]2m^5 -4m^4 + 2m^3 +3m^2 -5m -7[/math]
  2. [math]-2m^5 + 5m^2 -7 - 5m[/math]
  3. [math]2m^5 + m^2 +5m - 7[/math]
  4. [math]2m^5 -4m^4 +m^2 +5m -7[/math]
Grade 9 Exponents
Simplify the following expression.

[math](-2)^3 * (-2)^1 * (-2)^2 * (-2)^6[/math]
  1. [math]-2^12[/math]
  2. [math](-2)^12[/math]
  3. [math]-2^36[/math]
  4. [math](-2)^36[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](4a^2 + b^2 + a - 5c + 7) + (c^2 - 5 + a - 3b^2 - 6a^2)[/math]
  1. [math]4a^2 -3b^2 -4c^2 + 2a + 7[/math]
  2. [math]10a^2 + 4b^2 +c^2 + 2a + 5c + 12[/math]
  3. [math]4a^2c^2 + ab^2 - 8b^2c - a^2 - 5a [/math]
  4. [math]-2a^2 - 2b^2 + c^2 + 2a - 5c + 2[/math]
Grade 9 Inequalities
What is the solution set to the inequality [math]-5x-2<-22[/math]?
  1. [math]x>4[/math]
  2. [math]x<=6[/math]
  3. [math]x>=4[/math]
  4. [math]x<4[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-REI.A.1
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
[math](5z^2 - 4z + 4) + (-3z - z^2 + 5)[/math]
  1. [math]2z^2 - 5z + 9[/math]
  2. [math]6z^2 + 7z + 9[/math]
  3. [math]8z^2 + 5z + 9[/math]
  4. [math]4z^2 - 7z + 9[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply the monomials.
[math]3x^7 * 2x^4[/math]
  1. [math]6x^11[/math]
  2. [math]5x^11[/math]
  3. [math]6x^28[/math]
  4. [math]5x^28[/math]
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Multiply.
[math]2x^3y * (-5x^2y + 9xy - 4y^2 + x -3)[/math]
  1. [math]-10x^5y^2 + 18x^4y^2 - 8x^3y^3 + 2x^4y - 6x^3y[/math]
  2. [math]2x^3y - 5x^2y + 9xy - 4y^2 + x - 3[/math]
  3. [math]-10x^6y + 9x^3y - 4y^2 + 2x^3 - 6[/math]
  4. [math]-3x^6y^2 + 11x^3y^2 - 2x^3y^2 +2x^4y - x^3y[/math]
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