Non-linear equations (multi-variable)

Explain the concept of 'solving for a variable' in the context of literal equations.

• Multiplying the variable by a constant

• Dividing the variable by a constant

• Adding the variable to both sides of the equation

• Isolating the variable on one side of the equation

Tags

NC.M1.A-CED.4

Rewrite this formula and solve for the variable r. C = 2πr

• r = 2π / C

• r = C - 2 - π

• r = C - 2π

• r = C / 2π

 $V=\frac{4}{3}\pi r^3$  
Solve for  $r^3$  

•  $r^3=\frac{4\pi}{3V}$  

•  $r^3=\frac{3\pi}{4V}$  

•  $r^3=\frac{3V}{4\pi}$  

An equation that connects two or more variables.

• Fraction

• Formula

• Subject of the Formula

• Single variable

 $I=prt;\ for\ r$  

•  $r=pIt$  

•  $r=\frac{I}{pt}$  

•  $r=\frac{t}{pI}$  

•  $r=\frac{p}{It}$  

Solve for t in the expression: $\frac{\left(rx+t\right)}{5}=h$  

•  $t=5h-rx$  

•  $t=5h-5rx$  

•  $t=5h+rx$  

•  $rx=5h-t$  

S = 3F - 24 Solve for F

• F = (S + 24)/3

• F = S/3 + 24

• F = 3S + 24

• F = 3(S + 24)

Solve:
V = LWH, for W

• V/(LH) = W
• V-LH = W
• V + LH = W
• V/H = W

Write an expression that is equal to y, if (x² - 1) + y = (2x² + 5). _