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Tenth Grade (Grade 10) Function and Algebra Concepts Questions

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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-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 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
Factor. [math]6x^2 - 19x + 10 [/math]
  1. [math](3x-10)(2x+1)[/math]
  2. [math](6x - 5)(x-2)[/math]
  3. [math](3x - 5)(2x-2)[/math]
  4. [math](3x-2)(2x-5)[/math]
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 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 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 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 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 Quadratic Equations and Expressions CCSS: HSA-SSE.B.3, HSA-SSE.B.3a
By factoring the expression [math]12x^2 + 6x - 6[/math], find the zeros of the quadratic function this expression defines.
  1. [math]x=-1, 1/2[/math]
  2. [math]x = -3/4, 2/3[/math]
  3. [math]x = -3/2, 1/3[/math]
  4. [math]x = -2, 1/4[/math]
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
Coordinate Plane - 5x5 - With Dots
  1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
  2. No, this does not represent a function, since a function can not be made up of only points.
  3. No, this does not represent a function, since it fails the vertical line test.
  4. No, this does not represent a function, since a function is made up of many more points.
Grade 10 Systems of Equations CCSS: HSA-REI.C.6
Select the solution to the system of linear equations.
[math]x+2y=11[/math]
[math]3x-2y=9[/math]
  1. [math](3, 2)[/math]
  2. [math](5, 3)[/math]
  3. [math](4.5, 2)[/math]
  4. [math](1/2, 2/3)[/math]
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 Exponents CCSS: HSN-RN.A.2
Simplify. Assume that [math]x[/math] is positive. [math] (( x^(1/2) \ x^(-5/4) ) / (x^(3/4)) ) ^(4/3)[/math]
  1. [math]1/x^6[/math]
  2. [math]1[/math]
  3. [math]x^(4/3)[/math]
  4. [math]1/x^2[/math]
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