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Tenth Grade (Grade 10) Algebraic Expressions Questions

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Grade 10 Algebraic Expressions
Evaluate the expression 7x2-6x-3 when x=-3.
  1. 75
  2. 42
  3. -5
  4. 78
Grade 10 Algebraic Expressions
Simplify the following:
2a2+10a3a2+15a
  1. 2+2a3+3a
  2. 23
  3. 46
  4. 2a3a
Grade 10 Algebraic Expressions
Simplify.
(3x2y-3)(-2x3y5)
  1. 3x2y5-2x3y3
  2. -6x5+3x2y5-2x3y-3+y2
  3. -6x5y2
Grade 10 Algebraic Expressions CCSS: HSA-SSE.A.1, HSA-SSE.A.1b
One way the rate of population growth (how fast or slowly a population is growing) can be modeled is by the expression rN(K-NK), where N is the size of the population, K is a constant which describes the maximum population that a certain geographic region can support, and r is a positive constant that relates to the maximum growth rate. If the population of a certain species is growing and becomes very close to the carrying capacity, what will happen to the rate of growth and why?
  1. The growth rate of the population will diminish, because N≈K, and so K-NK will approach zero.
  2. The population will grow more rapidly, since both N and K become large.
  3. The population growth rate will remain the same, since the parameter K is found in both the numerator and denominator, and thus any increase or decrease in its value will cancel out.
  4. This cannot be determined without knowing specific numerical values for r,K, and N.
Grade 10 Algebraic Expressions
cb+bc
  1. c2+b2cb
  2. c2-b2b+c
  3. b2+c2
Grade 10 Algebraic Expressions
Simplify.
(acb+3)-(2acb+7)
  1. 3acb+10
  2. -acb-4
  3. 3acb-4
  4. 2acb+4
Grade 10 Algebraic Expressions
Which expression is equivalent to -3x+9?
  1. -3(x+9)
  2. -3(x-3)
  3. -3(x+12)
  4. 3(-x-3)
Grade 10 Algebraic Expressions
Which monomial has the same degree as 6a2b8c ?
  1. 9a5b3c2
  2. 18t8
  3. 6w4x2y3z3
  4. 12p6q5
Grade 10 Algebraic Expressions
Simplify.

(2a3b-2)(-4a2b4)
  1. -8a2b5
  2. 8a5b2
  3. 4a6b-8
  4. -8a5b2
Grade 10 Algebraic Expressions
Simplify. (6x3)(5x5)(-4x)
  1. -120x9
  2. -120x15
  3. 120x-9
  4. 120x-15
Grade 10 Algebraic Expressions
What is the value of 8-5(x-4) when x=7?
  1. 9
  2. -7
  3. 7
  4. -9
Grade 10 Algebraic Expressions
What is the common factor of x2-4x-12andx2+4x+4 ?
  1. (x-2)
  2. (x+6)
  3. (x+2)
  4. None of the above
Grade 10 Algebraic Expressions
10-9+3x+9a(9y-9)
Grade 10 Algebraic Expressions
10+6c+59c+6⋅4
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