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Ninth Grade (Grade 9) Arithmetic and Number Concepts Questions

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Grade 9 Rational and Irrational Numbers
Identify the number as a whole number, integer, or real number. There maybe more than one answer.

71
  1. whole number
  2. integer
  3. real number
Grade 9 Absolute Value
Solve the equation |1-2x|+6=9.
  1. x=-1
  2. x=-2,0
  3. x=-1,2
  4. x=-2,1
Grade 9 Number Types
What are integers?
  1. Positive and negative whole numbers and zero
  2. The point at which the x and y axes cross (0, 0)
  3. The line across the bottom of the graph
Grade 9 Systems of Equations
Give the number of solutions.

2x + y = 2
y - 2 = -2x
  1. one solution
  2. no solution
  3. infinite number of solutions
Grade 9 Absolute Value
When isolating the absolute value part of the equation, what steps should you do and in what order?

3-4|x-4|=27
  1. Add 4 on both sides, then divide both sides by 3.
  2. Subtract 3 on both sides, then divide both sides by 4.
  3. Subtract 3 on both sides, then add 4 on both sides.
  4. Add 3 on both sides, then multiply both sides by 4.
  5. Subtract 3 on both sides, then divide both sides by -4.
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
y - 3x = 5
4y + 4x = 12
  1. (-1/2, 7/2)
  2. (1/2, 5/2)
  3. No solution
  4. (7/2, -1/2)
Grade 9 Rational and Irrational Numbers
Identify the number as a whole number, integer, or real number. There maybe more than one answer.

π
  1. whole number
  2. integer
  3. real number
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve for H. V=LWH
  1. H=VLW
  2. H=V-LW
  3. H=VLW
  4. H=LWV
Grade 9 Number Types
Which is not a rational number?
  1. 13
  2. 0.25
  3. 0.6666666...
  4. √2
Grade 9 Systems of Equations CCSS: HSA-REI.C.6
Solve by substitution.

-x + y = -4
y = 2x - 11
  1. (7, 3)
  2. (-7, 3)
  3. (3, 7)
  4. (-3, -7)
Grade 9 Literal Equations
Rearrange the following equation to make x the subject.

x-4a=2b
  1. -4a=2b+x
  2. x=2b+4a
  3. x=2b-4a
  4. 4a-2b=x
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve for x.
ax-wx=z
  1. zax-w
  2. 2x
  3. z(a-w)
  4. za-w
Grade 9 Number Types
Classify the number. -42
  1. Natural, Whole, Integer, Rational, Real
  2. Whole, Integer, Rational, Real
  3. Integer, Rational, Real
  4. Irrational, Real
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