LITERAL EQUATIONS Isolate an indicated variable in an
LITERAL EQUATIONS Isolate an indicated variable in an equation.
Solve Literal Equations •
Solve for u. Give a property to justify each step. (Means isolate “u” in the following equations ) • 1/ 3 u – 8=y • 1/ u = y + 8 3 • u = 3(y + 8) • Addition Property (add 8) • Multiplication Property ( • 3) *That is the final answer. All you have to do is isolate the indicated variable. You will not end up with u=number. * • w = 9 + 14 ux • w – 9 = 14 ux • (w – 9) = u 14 x • Subtraction Property (- 9) • Division Property (÷ 14 x) *This is the final answer. You are isolating the variable and will still have other variables in the equation*
Isolate “w” in the following equations. Give a property to justify each step. • y = 2 x + w v • vy = 2 x + w • Multiplication Property ( • v) • vy – 2 x = w • Subtraction Property (-2 x) • w + x = y 3 • w = y – x 3 • w = 3(y – x) • Subtraction Property (-x) • Multiplication Property ( • 3) Image from http: //varner. typepad. com/mendenhall/
Isolate “m” in the following equation. Give a property to justify each step. • k = am + 3 mx • k = m(a + 3 x) • k =m a + 3 x • The “m” is in both terms. It is a factor of both terms. You will need to “factor it out of them. ” This is the distributive property backwards. • Distributive Property • Division Property (÷ [a + 3 x]) Image from http: //varner. typepad. com/mendenhall/
Formulas • Image from http: //varner. typepad. com/mendenhall/
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