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Ninth Grade (Grade 9) Function and Algebra Concepts Questions

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Grade 9 Algebraic Expressions
Simplify the following expression.
[math]3y^2 - 6y + 2 + 3y^2 + 8y[/math]
  1. [math]8y^2 +2[/math]
  2. [math]6y^2 +2 +14y[/math]
  3. [math]6y^2 + 2 - 14[/math]
  4. [math]6y^2 +2y + 2[/math]
Grade 9 Inequalities
Solve the inequality.
[math]2 - 3x > -10[/math]
  1. [math]x> -4[/math]
  2. [math]x > 4[/math]
  3. [math]x < -4[/math]
  4. [math]x < 4[/math]
Grade 9 Linear Equations
In the linear function y = mx + b, what does the b value represent?
  1. x - intercept
  2. y - intercept
  3. slope
  4. rate of change
Grade 9 Linear Equations
Solve for [math]y[/math].

[math]2(y+4)=3y+5[/math]
  1. [math]y=-1[/math]
  2. [math]y=2[/math]
  3. [math]y=3[/math]
  4. [math]y=9[/math]
Grade 9 Quadratic Equations and Expressions
Grade 9 Quadratic Equations and Expressions
Subtract. [math] (7a^2 - 3a) - (5a^2 - 5a)[/math]
  1. [math] 2a^2 - 8a[/math]
  2. [math] 2a^2 + 2a[/math]
  3. [math] 4[/math]
  4. [math]12a^2 - 8a [/math]
Grade 9 Quadratic Equations and Expressions
Grade 9 Polynomials and Rational Expressions
Combine like terms.
[math]4x^2 + 5z + 18x^2[/math]
  1. [math]14x^2 + 5z[/math]
  2. [math]22x^2 + 5z[/math]
  3. [math]22x^2 - 5z[/math]
  4. [math]-18x^2 - 5z[/math]
Grade 9 Quadratic Equations and Expressions
Solve the equation [math]x^2-2x-35=0[/math].
  1. x=-7 and x=5
  2. x=-7 and x=-5
  3. x=7 and x=-5
  4. x=7 and x=5
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 Linear Equations
Grade 9 Polynomials and Rational Expressions
Subtract: [math](4x^2 - 2x + 8) - ( x^2 + 3x - 2)[/math]
  1. [math]3x^2 + x + 6[/math]
  2. [math]3x^2 + x + 10[/math]
  3. [math]3x^2 - 5x + 6[/math]
  4. [math]3x^2 - 5x + 10[/math]
Grade 9 Linear Equations
Find the slope and y-intercept of this equation: [math]y=3x-1[/math]
  1. m=3 y-int=5
  2. m=7 y-int=1
  3. m=21 y-int=9
  4. m=3 y-int=-1
  5. m=4 y-int=8
Grade 9 Algebraic Expressions
Grade 9 Linear Equations
Which of the following would be the best choice for the first step in solving for x in the equation [math]2x + 8 = -10[/math]?
  1. Add 8 to both sides of the equation
  2. Subtract 8 from both sides of the equation
  3. Multiply both sides of the equation by 2
  4. Divide both sides of the equation by -2
Grade 9 Algebraic Expressions
Simplify.
-3(5 + 2x) - 7
  1. 22 - 6x
  2. -22 - 6x
  3. 22 + 6x
  4. -22 + 6x
Grade 9 Algebraic Expressions
Grade 9 Number Properties
What is the result of applying the distributive property to [math]3(a+2)[/math]?
  1. [math]3a - 2[/math]
  2. [math]3a + 2[/math]
  3. [math]3a - 6[/math]
  4. [math]3a + 6[/math]
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]
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