Rearranging Formulas to Highlight Quantities - Algebra
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What is $x$ in terms of $y$ if $y = rac{x}{a} + b$?
What is $x$ in terms of $y$ if $y = rac{x}{a} + b$?
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$x = a(y - b)$. Subtract $b$, then multiply by $a$ to isolate $x$.
$x = a(y - b)$. Subtract $b$, then multiply by $a$ to isolate $x$.
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What is $r$ in terms of $A$ and $P$ if $A = Pr$?
What is $r$ in terms of $A$ and $P$ if $A = Pr$?
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$r = $. Divide both sides by $P$ to isolate $r$.
$r = $. Divide both sides by $P$ to isolate $r$.
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What is $x$ in terms of $y$ if $y = x^2 + k$?
What is $x$ in terms of $y$ if $y = x^2 + k$?
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$x = $. Subtract $k$, then take the square root.
$x = $. Subtract $k$, then take the square root.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{Bx}{C}$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{Bx}{C}$?
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$x = rac{AC}{B}$. Multiply by $C$, then divide by $B$ to isolate $x$.
$x = rac{AC}{B}$. Multiply by $C$, then divide by $B$ to isolate $x$.
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What is $C$ in terms of $A$, $x$, and $B$ if $A = rac{x + B}{C}$?
What is $C$ in terms of $A$, $x$, and $B$ if $A = rac{x + B}{C}$?
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$C = rac{x + B}{A}$. Multiply by $C$, then divide by $A$ to isolate $C$.
$C = rac{x + B}{A}$. Multiply by $C$, then divide by $A$ to isolate $C$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{B}{C - x}$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{B}{C - x}$?
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$x = C - rac{B}{A}$. Multiply by $ (C - x) $, divide by $A$, then subtract from $C$.
$x = C - rac{B}{A}$. Multiply by $ (C - x) $, divide by $A$, then subtract from $C$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{x + B}{C}$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{x + B}{C}$?
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$x = AC - B$. Multiply by $C$, then subtract $B$ to isolate $x$.
$x = AC - B$. Multiply by $C$, then subtract $B$ to isolate $x$.
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What is $x$ in terms of $y$ if $y = x + b$?
What is $x$ in terms of $y$ if $y = x + b$?
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$x = rac{y - b}{a}$. Subtract $b$, then divide by $a$ to isolate $x$.
$x = rac{y - b}{a}$. Subtract $b$, then divide by $a$ to isolate $x$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{B}{x} + C$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = rac{B}{x} + C$?
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$x = rac{B}{A - C}$. Subtract $C$, then take the reciprocal.
$x = rac{B}{A - C}$. Subtract $C$, then take the reciprocal.
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What is $x$ in terms of $y$ if $y = (x - h)^2$?
What is $x$ in terms of $y$ if $y = (x - h)^2$?
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$x = h $. Take the square root, then add $h$.
$x = h $. Take the square root, then add $h$.
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What is $P$ in terms of $A$ and $r$ if $A = Pr$?
What is $P$ in terms of $A$ and $r$ if $A = Pr$?
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$P = \frac{A}{r}$. Divide both sides by $r$ to isolate $P$.
$P = \frac{A}{r}$. Divide both sides by $r$ to isolate $P$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = Bx - C$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = Bx - C$?
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$x = rac{A + C}{B}$. Add $C$, then divide by $B$ to isolate $x$.
$x = rac{A + C}{B}$. Add $C$, then divide by $B$ to isolate $x$.
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What is $r$ in terms of $d$ and $t$ if $d = rt$?
What is $r$ in terms of $d$ and $t$ if $d = rt$?
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$r = \frac{d}{t}$. Divide both sides by $t$ to isolate $r$.
$r = \frac{d}{t}$. Divide both sides by $t$ to isolate $r$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = x + C$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = x + C$?
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$x = $. Subtract $C$, then multiply by $B$ to isolate $x$.
$x = $. Subtract $C$, then multiply by $B$ to isolate $x$.
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What is $x$ in terms of $y$, $m$, and $b$ if $y = mx + b$?
What is $x$ in terms of $y$, $m$, and $b$ if $y = mx + b$?
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$x = \frac{y - b}{m}$. Subtract $b$, then divide by $m$ to isolate $x$.
$x = \frac{y - b}{m}$. Subtract $b$, then divide by $m$ to isolate $x$.
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What is $x$ in terms of $A$ and $B$ if $A = rac{1}{2}Bx$?
What is $x$ in terms of $A$ and $B$ if $A = rac{1}{2}Bx$?
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$x = rac{2A}{B}$. Multiply by $2$ to clear the fraction coefficient.
$x = rac{2A}{B}$. Multiply by $2$ to clear the fraction coefficient.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = C - Bx$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = C - Bx$?
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$x = rac{C - A}{B}$. Rearrange: $Bx = C - A$, then divide by $B$.
$x = rac{C - A}{B}$. Rearrange: $Bx = C - A$, then divide by $B$.
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What is $x$ in terms of $A$ and $B$ if $A = rac{x}{B}$?
What is $x$ in terms of $A$ and $B$ if $A = rac{x}{B}$?
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$x = AB$. Multiply both sides by $B$ to isolate $x$.
$x = AB$. Multiply both sides by $B$ to isolate $x$.
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What is $B$ in terms of $A$ and $x$ if $A = rac{B}{x}$?
What is $B$ in terms of $A$ and $x$ if $A = rac{B}{x}$?
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$B = Ax$. Cross-multiply to get $B = Ax$.
$B = Ax$. Cross-multiply to get $B = Ax$.
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What is $x$ in terms of $y$ if $y = x^2 + k$?
What is $x$ in terms of $y$ if $y = x^2 + k$?
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$x = $. Subtract $k$, then take the square root.
$x = $. Subtract $k$, then take the square root.
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What is $x$ in terms of $A$ and $B$ if $A = rac{B}{x}$?
What is $x$ in terms of $A$ and $B$ if $A = rac{B}{x}$?
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$x = rac{B}{A}$. Cross-multiply to get $x = \frac{B}{A}$.
$x = rac{B}{A}$. Cross-multiply to get $x = \frac{B}{A}$.
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What is $B$ in terms of $A$ and $x$ if $A = rac{x}{B}$?
What is $B$ in terms of $A$ and $x$ if $A = rac{x}{B}$?
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$B = rac{x}{A}$. Cross-multiply to get $B = \frac{x}{A}$.
$B = rac{x}{A}$. Cross-multiply to get $B = \frac{x}{A}$.
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What is $x$ in terms of $A$, $B$, and $C$ if $A = B(C - x)$?
What is $x$ in terms of $A$, $B$, and $C$ if $A = B(C - x)$?
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$x = C - rac{A}{B}$. Divide by $B$, then subtract from $C$ to isolate $x$.
$x = C - rac{A}{B}$. Divide by $B$, then subtract from $C$ to isolate $x$.
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What is $C$ in terms of $A$, $B$, and $x$ if $A = B(C - x)$?
What is $C$ in terms of $A$, $B$, and $x$ if $A = B(C - x)$?
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$C = x + rac{A}{B}$. Add $x$, then divide by $B$ to isolate $C$.
$C = x + rac{A}{B}$. Add $x$, then divide by $B$ to isolate $C$.
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What is $x$ in terms of $y$ if $y = rac{1}{x}$?
What is $x$ in terms of $y$ if $y = rac{1}{x}$?
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$x = rac{1}{y}$. Take the reciprocal of both sides.
$x = rac{1}{y}$. Take the reciprocal of both sides.
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What is $C$ in terms of $A$, $B$, and $x$ if $A = rac{Bx}{C}$?
What is $C$ in terms of $A$, $B$, and $x$ if $A = rac{Bx}{C}$?
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$C = rac{Bx}{A}$. Multiply by $C$, then divide by $A$ to isolate $C$.
$C = rac{Bx}{A}$. Multiply by $C$, then divide by $A$ to isolate $C$.
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What is $R$ in terms of $V$ and $I$ if $V = IR$?
What is $R$ in terms of $V$ and $I$ if $V = IR$?
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$R = \frac{V}{I}$. Divide both sides by $I$ to isolate $R$.
$R = \frac{V}{I}$. Divide both sides by $I$ to isolate $R$.
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What operation should you use to isolate a variable in $A = $ form like $A = rac{B}{C}$ (solve for $B$)?
What operation should you use to isolate a variable in $A = $ form like $A = rac{B}{C}$ (solve for $B$)?
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Multiply both sides by $C$. Multiplying by the denominator clears the fraction.
Multiply both sides by $C$. Multiplying by the denominator clears the fraction.
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What operation should you use to isolate a variable in a difference like $A = B - C$ (solve for $B$)?
What operation should you use to isolate a variable in a difference like $A = B - C$ (solve for $B$)?
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Add $C$ to both sides. Adding $C$ cancels the subtraction to isolate $B$.
Add $C$ to both sides. Adding $C$ cancels the subtraction to isolate $B$.
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What operation should you use to isolate a variable in a sum like $A = B + C$?
What operation should you use to isolate a variable in a sum like $A = B + C$?
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Subtract the other term from both sides. Subtraction removes the unwanted term from the isolated variable's side.
Subtract the other term from both sides. Subtraction removes the unwanted term from the isolated variable's side.
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