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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]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 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 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 Polynomials and Rational Expressions
Given: [math] (5x + 6)(8x - 4) [/math]

What is the product of the given?
  1. [math] 13x + 2 [/math]
  2. [math] 40x - 24 [/math]
  3. [math] 40x^2 + 24 [/math]
  4. [math] 40x^2 - 20x + 48x - 24 [/math]
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]
Grade 10 Inequalities CCSS: HSA-REI.B.3
Select the solution.
[math]-5 <= -2x + 3 <= 7[/math]
  1. [math]x >= 4 or x <= -2[/math]
  2. [math]-2 <= x <= 4[/math]
  3. [math]-4 <= x <= -2[/math]
  4. [math]-4 <= x <= 2[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]b[/math] is positive. [math]( b^(1/4) \ b^(5/4))^(2/3)[/math]
  1. [math]b^(13/6)[/math]
  2. [math]b^(5/24)[/math]
  3. [math]b[/math]
  4. [math]4^(1/3) b [/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]a[/math] and [math]b[/math] are positive. [math] a^(4/3) \ (a^(-1/2) b^(9/5))^(3/4) [/math]
  1. [math]a^(47/15) / b^(27/20) [/math]
  2. [math]a^(19/12) \ b^(51/20)[/math]
  3. [math]a^(5/8) \ b^(27/20)[/math]
  4. [math]a ^(23/24) b^(27/20) [/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Simplify: [math]x^(2/3) (x^(1/4) )[/math]. Assume [math]x[/math] is positive.
  1. [math]x^(1/6)[/math]
  2. [math]x^(3/7)[/math]
  3. [math]x^(1/8)[/math]
  4. [math]x^(11/12)[/math]
  5. None of these are correct
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 Exponents CCSS: HSN-RN.A.2
Simplify. Assume [math]m[/math] and [math]n[/math] are positive. [math]( m^(5/6) \ n^(3/2) ) / ( m^(4/7) \ n^(9/2))[/math]
  1. [math] ( m^(35/ 24) ) / ( n^(1/3) )[/math]
  2. [math] m^(59/42) / n^6 [/math]
  3. [math] (m^(11/42) ) / n^3 [/math]
  4. [math]m^(-10/21) n^(-27/4)[/math]
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]a[/math].

[math]a^2+b^2=c^2[/math]
  1. [math]a=+-sqrt(c^2/b^2)[/math]
  2. [math]a=+-sqrt(b^2-c^2)[/math]
  3. [math]a=+-sqrt(c^2+b^2)[/math]
  4. [math]a=+-sqrt(c^2-b^2)[/math]
Grade 10 Linear 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 Linear Equations CCSS: HSA-REI.B.3
Grade 10 Linear Equations CCSS: HSA-REI.B.3
Solve for [math]x[/math].
[math]4x+5=5x-5[/math]
  1. [math]1[/math]
  2. [math]4/5[/math]
  3. [math]10[/math]
  4. [math]-5[/math]
Grade 10 Linear Equations
Which of the following is true for the equation [math]y=4x-2[/math]?
  1. slope=2, y intercept=4
  2. slope=-2, y intercept=4
  3. slope=4, y intercept=-2
  4. slope=4, y intercept=2
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