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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
4b-2d=5
-2b+d=1
  1. Infinite Solutions
  2. (0,1)
  3. (1,0)
  4. No Solution
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
r=-3s
r+4s=10
  1. r=-30,s=10
  2. r=34,s=-34
  3. r=13,s=3
  4. No Solution
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
t+2s=1
2t-3s=23
  1. s=-3,t=7
  2. s=23,t=2
  3. s=-37,t=13
  4. s=-7,t=3
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.

a2+b2=c2
  1. a=±c2b2
  2. a=±b2-c2
  3. a=±c2+b2
  4. a=±c2-b2
Grade 10 Absolute Value
Solve for x.

|8+4x|=-12
  1. no solution
  2. -5
  3. 1
  4. 1 or -5
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Which linear system has the solution x=-2 and y=6?
  1. x+3y=16;   4x+4y=16
  2. x+2y=-2;   2x+4y=-4
  3. x+3y=17;   2x+y=15
  4. 2x+y=-2;   x+y=16
Grade 10 Absolute Value
Solve for x.

|x-13|=21
  1. {34, -8}
  2. {34,8}
  3. {-34, -8}
  4. no solution
Grade 10 Absolute Value
Solve the absolute value equation.
|5x+12|=-53
  1. x=8.2,-13
  2. x=-8.2,13
  3. x=415,13
  4. No solution
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.

v2=2a(s-s0)+v20
  1. a=v2-v202(s-s0)
  2. a=(2s-s0v2-v20)
  3. a=v2+v202(s+s0)
  4. a=2v2-v20(s-s0)
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations using substitution or elimination.

8x+3y=-7
7x+2y=-3
  1. (4,13)
  2. (-3,9)
  3. (1,-5)
  4. No Solutions
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
y=5x+8
4y+x=4
  1. (-4,3)
  2. (1,2)
  3. (-43,43)
  4. (12,25)
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system.

-2x+y=-7
4x+3y=9
  1. x = -1, y = 3
  2. x = 3, y = -1
  3. x = 2, y = 3
  4. x = 1, y = -2
Grade 10 Absolute Value
Solve the absolute value equation.
|4x-2|-6=20
  1. x = 4, x = -4
  2. x = 2, x = -2
  3. x = 6, x = -7
  4. x = -6, x = 7
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