Non-linear equations (multi-variable)

Which variable is isolated?

Equation 1: y = -1x - 5

Equation 2: 4x - 8y = 4

• y in Equation 1

• x in Equation 1

• y in Equation 2

• x in Equation 2

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CCSS.HSA.CED.A.4

Solve for x:

 $g=6x$  

•  $x=\frac{g}{6}$  

•  $x=\frac{6}{x}$  

•  $x=6g$  

•  $x=g6$  

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CCSS.HSA.CED.A.4

Solve for h

V = πr²h for h

• V/(πr²) = h

• V - πr² = h

• V + πr² = h

• V/π = h

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CCSS.HSA.CED.A.4

• 
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• 
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CCSS.HSA.CED.A.4

Answer explanation

F is being multiplied by  $\frac{5}{9}$  , so we need to multiply both sides of the equation by the reciprocal  $\frac{9}{5}$  . Then we need to add 32 to both sides of the equation, leaving us the formula.

 $F=\frac{9}{5}C+32$  

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CCSS.HSA.CED.A.4

Solve:
d = rt   , for t

• d/r = t
• r/d = t
• d + r = t
• d - r = t

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CCSS.HSA.CED.A.4

Solve the equation for T

• $T=\frac{PV}{K}$

• $T=\frac{PK}{V}$
  

• $T=\frac{KV}{P}$
  

• Thomas the Tank Engine

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CCSS.HSA.CED.A.4

A rectangle has an area represented by the expression (4x² +19x + 12)sq. ft.. The width of the rectangle is represented by the expression (x + 4)ft. Which expression represents the length?

• (4x - 3)ft.

• (4x + 3)ft.

• (2x + 6)ft.

• (2x + 3)ft.

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CCSS.HSA.CED.A.4

 $Solve\ for\ \ v\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\frac{m}{v}$  

• V = mv

• V = Dm

• V = m/v

• V = v/m

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CCSS.HSA.CED.A.4

• t=d-r

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CCSS.HSA.CED.A.4