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Ninth Grade (Grade 9) Function and Algebra Concepts Questions

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Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve the following formula for w.

V=lwh
  1. w=Vlh
  2. w=lVh
  3. w=Vlh
  4. w=V+l+h
Grade 9 Exponents CCSS: HSN-RN.A.2
Express using radicals and integer exponents.

((2x)23⋅(4xy)53)13
  1. 163√2x7y5
  2. 29√8x7y5
  3. 29√16x5y5
  4. 46√x7y5
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Which system of equations has no solutions?
  1. a-b=2,   b=-a-3
  2. a-b=3,   a+b=-2
  3. -a+b=-2,   b=a+3
  4. a+b=3,   -a+b=2
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solving Systems of Equations by ELIMINATION Method.

x−y=11
2x+y=19
  1. (-8, −1)
  2. (10, −1)
  3. (11, −9)
  4. (6, 3)
Grade 9 Algebraic Expressions
Simplify the expression. 8+5m+8p+3m+p-2
  1. 8m+9p
  2. 8m+9p+6
  3. 9m+8p-2
  4. 9m+8p+10
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
2x + 9y = 0
3x + 5y = 17
  1. (-9, 2)
  2. (-9, -0)
  3. (9, -2)
  4. (-2, 9)
Grade 9 Functions and Relations CCSS: HSF-LE.A.2
What is the equation of the linear function pictured below? Assume that the horizontal axis represents x and the vertical axis f(x).
Graph - Linear Function y=1/2x
  1. f(x)=12x
  2. f(x)=2x
  3. f(x)=x
  4. f(x)=12x+1
Grade 9 Exponents
Simplify the following expression.

(-2)3⋅(-2)1⋅(-2)2⋅(-2)6
  1. -212
  2. (-2)12
  3. -236
  4. (-2)36
Grade 9 Radicals CCSS: HSN-RN.A.2
Express using radicals and integer exponents.

(3x)23y13
  1. 3√9x2y
  2. √27x3y3
  3. 3√3x2y3
  4. 3√9xy
Grade 9 Polynomials and Rational Expressions
State the degree of the polynomial. x5-x4+3
  1. 5
  2. 4
  3. 3
  4. 2
Grade 9 Algebraic Expressions
Simplify.
2x+3x2-5x+4-7x2
  1. 7x2+4
  2. 7x+10x2+4
  3. -4x2-3x+4
  4. -3x6
Grade 9 Algebraic Expressions CCSS: HSA-SSE.A.2
Which of the expressions below is equivalent to b(5a2+2)+b(2a2+5)?
  1. 7a2b+7b
  2. 7a2b+2b+5
  3. 10a2b+10b
  4. (10a2+10)b
Grade 9 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
Add the polynomials.
(4a2+b2+a-5c+7)+(c2-5+a-3b2-6a2)
  1. 4a2-3b2-4c2+2a+7
  2. 10a2+4b2+c2+2a+5c+12
  3. 4a2c2+ab2-8b2c-a2-5a
  4. -2a2-2b2+c2+2a-5c+2
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
At what point do the lines y=4x-10 and y=7x+11 intersect?
  1. (-7, -38)
  2. (-5, -10)
  3. (-3, -10)
  4. (-1, 4)
Grade 9 Inequalities CCSS: HSA-REI.B.3
Solve the following inequality.
2x < 8
  1. x<8
  2. x<4
  3. x>4
  4. x>8
Grade 9 Polynomials and Rational Expressions
Which of the following best classifies 5a4+7a3-2a?
  1. Cubic polynomial
  2. Quartic binomial
  3. Quartic trinomial
  4. Quintic polynomial
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