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Common Core Standard HSA-CED.A.4 Questions

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

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Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve the following formula for [math]w[/math].

[math]V=lwh[/math]
  1. [math]w=Vlh[/math]
  2. [math]w=l/(Vh)[/math]
  3. [math]w=V/(lh)[/math]
  4. [math]w=V+l+h[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve the following formula for [math]l[/math].

[math]V=lwh[/math]
  1. [math]l=Vwh[/math]
  2. [math]l=V/(wh)[/math]
  3. [math]l=(Vw)/h[/math]
  4. [math]l=V+w+h[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve [math]3xy-4=xy+8[/math] for [math]x[/math].
  1. [math]x=3/y[/math]
  2. [math]x=2/y[/math]
  3. [math]x=-2/y[/math]
  4. [math]x=6/y[/math]
  5. [math]x=1/y[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]x[/math].
[math]ax-wx=z[/math]
  1. [math]2x[/math]
  2. [math]z/(a-w)[/math]
  3. [math]z/(ax-w)[/math]
  4. [math]z(a-w)[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Grade 9 Nonlinear Equations and Functions CCSS: HSA-CED.A.4
Solve [math]3xy-4=-xy+8[/math] for [math]x[/math].
  1. [math]x=3/y[/math]
  2. [math]x=2/y[/math]
  3. [math]x=-2/y[/math]
  4. [math]x=6/y[/math]
  5. [math]x=1/y[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]x[/math].
[math]ax-wx=z[/math]
  1. [math]z/(ax-w)[/math]
  2. [math]2x[/math]
  3. [math]z(a-w)[/math]
  4. [math]z/(a-w)[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve the formula [math](PV)/T=k[/math] for [math]V[/math].
  1. [math](Pk)/T=V[/math]
  2. [math]PTk=V[/math]
  3. [math]k/(PT)=V[/math]
  4. [math](kT)/P=V[/math]
  5. [math](k-T)/P=V[/math]
Grade 9 Literal Equations CCSS: HSA-CED.A.4
Solve for [math]b[/math].
[math]-r= sb[/math]
  1. [math]-r/s[/math]
  2. [math]-rs[/math]
  3. [math]-r + s[/math]
  4. [math]s-(-r)[/math]
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