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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 equation for the specified variable.
c=2d+13, for d
  1. d=c3-2
  2. d=3c+12
  3. 23c-1=d
  4. 3c-12=d
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.
V(P+a)=k
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve the equation for the variable indicated.

ax+z=aw-y, for a
  1. a=-y-zx-w
  2. a=y+zx-w
  3. y=-a-zx+w
  4. a=x-w-y-z
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given A=P+Prt, solve for P.
  1. P=A-Prt
  2. P=A1+rt
  3. P=Art
  4. P=A1-t
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given A=πr2, solve for r.
  1. r=Aπ
  2. r=±√Aπ
  3. r=-√Aπ
  4. r=√Aπ
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given A=12(b1+b2)h, solve for b1.
  1. b1=A2h-b2
  2. b1=2Ah-b2
  3. Both a and b are correct
  4. None of these are correct
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given P=2(l+w), solve for l.
  1. l=2P+w
  2. l=P2+w
  3. l=P2-w
  4. l=w-P2
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Given V=πr2h, solve for h.
  1. h=Vπr
  2. h=Vπr2
  3. h=√Vπr
  4. h=√Vπr2
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for R.

2T=5RS
  1. R=5ST2
  2. R=2S5T
  3. R=25ST
  4. R=2ST5
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for a.

S=12at2
  1. a=2St2
  2. at2=2S
  3. a=t2tS
  4. a=S2t2
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for z.

x=zy
  1. z=xy
  2. z=xy
  3. z=yx
  4. x=zy
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for B.

A=BC
  1. B=AC
  2. B=CA
  3. B=AC
  4. A=BC
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for r.

4x+y=3t-2r
  1. 4x+y-3t-2=r
  2. 4x+y-3t2=r
  3. 4x+y6t=r
  4. -24x+y3t=r
Grade 10 Literal Equations CCSS: HSA-CED.A.4
Solve for r.

a=v2r
  1. r=av2
  2. r=v2a
  3. r=v2a
  4. r=√va
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 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 Quadratic Equations and Expressions CCSS: HSA-CED.A.4
Solve for v.

E=12mv2
  1. v=±√2Em
  2. v=±√2Em
  3. v=(2Em)2
  4. v=±√E2m
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