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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Systems of Equations
Write an equivalent system with integer coefficients.
5x+(32)y=14
(56)x+5y=7556
  1. 10x+3y=1;5x+30y=1
  2. 10x+3y=28;30x+5y=755
  3. 3x+10y=28;5x+30y=755
  4. 10x+3y=28;5x+30y=755
Grade 10 Primes, Factors, and Multiples
If m and n are prime numbers greater than 2, which of the following could also be a prime number?
  1. m + n
  2. m + n + 1
  3. m + n + 2
  4. mn
Grade 10 Systems of Equations
In which quadrant do the graphs of x=-2andy=2x+1 intersect?
  1. Quadrant 1
  2. Quadrant 2
  3. Quadrant 3
  4. Quadrant 4
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
2x+3y=6
4x+2y=-4
  1. 3y=8,    4x+2y=-4
  2. -2x=10,    4x+2y=-4
  3. 6x+5y=2,    4x+2y=-4
  4. 2x+3y=6,    4y=16
Grade 10 Systems of Equations CCSS: HSA-REI.C.5
Which of the following systems of equations is equivalent to the one given? There may be more than one correct answer.
4x+3y=-2
2x-2y=6
  1. 4x+3y=-2,   -72y=7
  2. 4x+3y=-2,   2x=-8
  3. 7y=-14,   2x-2y=6
  4. x=-11,   2x-2=6
Grade 10 Absolute Value
Given: 111|2x-4|+10≤11
Find all solutions for x.
  1. -53.5≤x≤57.5
  2. -57.5≤x≤53.5
  3. -72≤x≤152
  4. -152≤x≤72
Grade 10 Absolute Value
Solve. |8-4x|=40
  1. x = 8; x = 12
  2. x = 8; x = -12
  3. x = -8; x = -12
  4. x = -8; x = 12
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve by substitution.
3x+y=-3
y=x+5
  1. (3,-2)
  2. (-83,-3)
  3. (4,1)
  4. (-2,3)
Grade 10 Absolute Value
|x-5|=-2 has one solution.
  1. True
  2. False
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Find the values of w and z if (2w+4,z-3w) is the solution of the simultaneous equations x3+4y=33 and 3x-y3=-30.
  1. w=-8.5,z=3
  2. w=-9,z=9
  3. w=-6.5,z=-10.5
  4. w=-7,z=-12
Grade 10 Absolute Value
When x<0, |x-7| is equivalent to which expression?
  1. x-7
  2. x+7
  3. -x-7
  4. -(x-7)
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