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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Scientific Notation
[math](6.1 xx 10 ^5) (4 xx 10 ^-9)[/math] Perform the indicated computation, write your answer in scientific notation.
  1. [math] 2.44 [/math]
  2. [math]2.44 xx 10 ^ 3[/math]
  3. [math]2.44 xx 10 ^ -3[/math]
  4. [math]2.44 xx 10 ^14[/math]
Grade 10 Scientific Notation
[math](6.9 xx 10^8)/(3 xx 10^5) [/math]

Perform the indicated computations. Write the answers in scientific notation.
  1. [math]2.3 xx 10 ^3[/math]
  2. [math]2.3 xx 10^13[/math]
  3. [math]2.3 xx 10^-3[/math]
  4. [math]2.3 xx 10^4[/math]
Grade 10 Complex Numbers
Simplify problem to discover product of [math](2 - i)(4 + 5i)[/math] in standard form.
  1. [math]13 - 6i[/math]
  2. [math]8 + i[/math]
  3. [math]3 + 6i[/math]
  4. [math]13 + 6i[/math]
Grade 10 Absolute Value
Which absolute value function has a graph that contains (-2, -1), (0,0), and (2, -1)?
  1. y = 2 times the absolute value of x.
  2. y = 1/2 times the absolute value of x.
  3. y = -1/2 times the absolute value of x.
  4. y = -2 times the absolute value of x.
Grade 10 Absolute Value
Solve for x:

[math]|8 + 4x| = -12[/math]
  1. no solution
  2. -5
  3. 1
  4. 1 or -5
Grade 10 Absolute Value
Solve for x:

[math]|x - 13| = 21[/math]
  1. {34, -8}
  2. {34,8}
  3. {-34, -8}
  4. no solution
Grade 10 Complex Numbers
If [math]i^2=-1[/math], then what is the value of [math]i^32[/math]?
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]-i[/math]
  4. [math]i[/math]
Grade 10 Proportional Relationships
If [math]m/p =2/3[/math], what can you conclude?
  1. [math]3m=2p[/math]
  2. [math]2m=3p[/math]
  3. [math]mp=6[/math]
  4. [math]m+p=5[/math]
Grade 10 Absolute Value
Solve the equation.

[math]abs(3z-3)=9[/math]
  1. [math]"No Solution"[/math]
  2. [math]{-4,2}[/math]
  3. [math]{4,2}[/math]
  4. [math]{4,-2}[/math]
Grade 10 Complex Numbers
Simplify. [math](1+2i)/ (2-3i)[/math]
  1. [math](8/7) + i[/math]
  2. [math](8/7) + (1/7)i[/math]
  3. [math]-4+7i[/math]
  4. [math]-(4/13) +(7/13) i[/math]
Grade 10 Absolute Value
Solve. [math]abs(6w+3)=9[/math]
  1. {-2, 1}
  2. {-1, 2}
  3. 2
  4. 1
Grade 10 Absolute Value
Solve the absolute value equation.
[math]| 4x - 2 | - 6 = 20[/math]
  1. x = 4, x = -4
  2. x = 2, x = -2
  3. x = 6, x = -7
  4. x = -6, x = 7
Grade 10 Absolute Value
Solve. [math]abs(8-4x)=40[/math]
  1. x = 8; x = 12
  2. x = 8; x = -12
  3. x = -8; x = -12
  4. x = -8; x = 12
Grade 10 Absolute Value
Solve the absolute value equation.
[math]| 5x + 12 | = - 53[/math]
  1. [math]x= 8.2, -13[/math]
  2. [math]x= -8.2, 13[/math]
  3. [math]x= 41/5, 13[/math]
  4. [math]"No solution"[/math]
Grade 10 Rational and Irrational Numbers
Which is largest?
  1. pi
  2. e
  3. 2.1
  4. 3.13
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