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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 11 Function and Algebra Concepts CCSS: HSA-CED.A.4
Given $A =P+Prt$, solve for $P$.
1. $P = (A - P)/(rt)$
2. $P = A/(1+rt)$
3. $P=A/(rt)$
4. $P=A/(1-t)$
What is the constant (c) in the quadratic expression $-350+105s^2$?
1. $350$
2. $-350$
3. $105$
4. $105$
Given $A = pir^2$, solve for $r$.
1. $r = A/pi$
2. $r = +-sqrt(A/pi)$
3. $r = -sqrt(A/pi)$
4. $r = sqrt(A/pi)$
Grade 11 Function and Algebra Concepts CCSS: HSA-CED.A.4
Given $A = 1/2(b_1+b_2)h$, solve for $b_1$.
1. $b_1=A/(2h)-b_2$
2. $b_1=(2A)/h-b_2$
3. Both a and b are correct
4. None of these are correct
Grade 11 Function and Algebra Concepts CCSS: HSA-CED.A.4
Given $P=2(l+w)$, solve for $l$.
1. $l = 2P+w$
2. $l = P/2+w$
3. $l=P/2-w$
4. $l=(w-P)/2$
Grade 11 Function and Algebra Concepts CCSS: HSA-CED.A.4
Given $V = pir^2h$, solve for $h$.
1. $h = V/(pir)$
2. $h = V/(pir^2)$
3. $h=sqrt(V/(pir))$
4. $h=sqrt(V/(pir^2))$
Find the quadratic term (a) for this quadratic expression $-350+105x^2.$
1. $-350$
2. $0$
3. $105$
4. $-105$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $R$.

$2T=(5R)/S$
1. $R=(5ST)/2$
2. $R=(2S)/(5T)$
3. $R=(2)/(5ST)$
4. $R=(2ST)/5$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $a$.

$S=1/2at^2$
1. $a=(2S)/t^2$
2. $at^2=2S$
3. $a=t^2/(tS)$
4. $a=(S)/(2t^2)$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $z$.

$x=z/y$
1. $z=xy$
2. $z=x/y$
3. $z=y/x$
4. $x=zy$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $B$.

$A=BC$
1. $B=AC$
2. $B=C/A$
3. $B=A/C$
4. $A=B/C$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $r$.

$4x+y=3t-2r$
1. $(4x+y-3t)/-2=r$
2. $(4x+y-3t)/2=r$
3. $(4x+y)/6t=r$
4. $-2(4x+y)/3t=r$
Solve for $r$.

$a=v^2/r$
1. $r=a/v^2$
2. $r=v^2a$
3. $r=v^2/a$
4. $r=sqrt(v)/a$
Solve for $a$.

$a^2+b^2=c^2$
1. $a=+-sqrt(c^2/b^2)$
2. $a=+-sqrt(b^2-c^2)$
3. $a=+-sqrt(c^2+b^2)$
4. $a=+-sqrt(c^2-b^2)$
Solve for $a$.

$v^2=2a(s-s_0)+v_0^2$
1. $a=(v^2-v_0^2)/(2(s-s_0)$
2. $a=(2(s-s_0)/(v^2-v_0^2))$
3. $a=(v^2+v_0^2)/(2(s+s_0)$
4. $a=2(v^2-v_0^2)/((s-s_0)$
Solve for $v$.

$E=1/2mv^2$
1. $v=+-sqrt((2)/Em)$
2. $v=+-sqrt((2E)/m)$
3. $v=((2E)/m)^2$
4. $v=+-sqrt((E)/(2m))$
Grade 10 Function and Algebra Concepts CCSS: HSA-CED.A.4
Solve for $s_0$.

$s=vt+s_0$
1. $s_0=vt-s$
2. $s_0=t/(vs)$
3. $s_0=(sv)/(t)$
4. $s_0=s-vt$