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Tenth Grade (Grade 10) Arithmetic and Number Concepts Questions

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Grade 10 Systems of Equations CCSS: HSA-CED.A.3, HSA-REI.C.6
If you pay $11 for 1 apple and 9 bananas and pay $7 for 3 apples and 1 banana, how much does an apple and a banana cost?
  1. Apple = $ -1 Banana = $2/3
  2. Apple = $2 Banana = $1
  3. Apple = $1 Banana = $4/9
  4. Apple = $1/2 Banana = $1/2
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]R[/math].

[math]2T=(5R)/S[/math]
  1. [math]R=(5ST)/2[/math]
  2. [math]R=(2S)/(5T)[/math]
  3. [math]R=(2)/(5ST)[/math]
  4. [math]R=(2ST)/5[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]S=1/2at^2[/math]
  1. [math]a=(2S)/t^2[/math]
  2. [math]at^2=2S[/math]
  3. [math]a=t^2/(tS)[/math]
  4. [math]a=(S)/(2t^2)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]z[/math].

[math]x=z/y[/math]
  1. [math]z=xy[/math]
  2. [math]z=x/y[/math]
  3. [math]z=y/x[/math]
  4. [math]x=zy[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]x+y=8[/math]
[math]2x-y=1[/math]
  1. [math](5, 2)[/math]
  2. [math](2/5, 2/11)[/math]
  3. [math](2, 5)[/math]
  4. [math](3, 5)[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]B[/math].

[math]A=BC[/math]
  1. [math]B=AC[/math]
  2. [math]B=C/A[/math]
  3. [math]B=A/C[/math]
  4. [math]A=B/C[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]4x+y=3t-2r[/math]
  1. [math](4x+y-3t)/-2=r[/math]
  2. [math](4x+y-3t)/2=r[/math]
  3. [math](4x+y)/6t=r[/math]
  4. [math]-2(4x+y)/3t=r[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]r[/math].

[math]a=v^2/r[/math]
  1. [math]r=a/v^2[/math]
  2. [math]r=v^2a[/math]
  3. [math]r=v^2/a[/math]
  4. [math]r=sqrt(v)/a[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
3x - 2y = 7
x + 3y = 6
  1. x = 3, y = 1
  2. x = -1, y = 1.67
  3. x = 0, y = 1
  4. x = 3, y = -2
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
[math]y=x-8[/math]
[math]y=-3x[/math]
  1. [math](2,-6)[/math]
  2. [math](-2,6)[/math]
  3. [math](3,-9)[/math]
  4. [math](1,7)[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve this system of equations.
[math]4x - 2y =8[/math]
[math]-5x + 3y = 9[/math]
  1. [math]x = 12, y = 15[/math]
  2. [math]x = 21, y = 38[/math]
  3. [math]x = 9, y = 8[/math]
  4. [math]x = -12, y = -15[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]r=-3s[/math]
[math]r+4s=10[/math]
  1. [math]r=-30, s=10[/math]
  2. [math]r=3/4, s=-3/4[/math]
  3. [math]r=1/3, s=3[/math]
  4. No Solution
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Solve the system of equations.
x - y = 6
3x + 2y = -22
  1. (-2, -8)
  2. (6.8, 0.8)
  3. (2, 8)
  4. (-8,-2)
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