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Literal Equations

Literal Equations. Isolate an indicated variable in an equation. Solve Literal Equations. Our goal is to rearrange equations or formulas to isolate a desired variable by using inverse operations ( just as you would use to solve an equation)

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Literal Equations

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  1. Literal Equations Isolate an indicated variable in an equation.

  2. Solve Literal Equations • Our goal is to rearrange equations or formulas to isolate a desired variableby using inverse operations (just as you would use to solve an equation) • However you won’t end up with variable=constant number (like x=7), you will end with variable=expression (like r = ) • Use the properties of algebra to do this “legitimately.”

  3. Solve for u. Give a property to justify each step.(Means isolate “u” in the following equations ) • 1/3u – 8 = y • 1/3u = y + 8 • u = 3(y + 8) *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 + 14ux • w – 9 = 14ux • (w – 9) = u 14x *This is the final answer. You are isolating the variable and will still have other variables in the equation* • Addition Property (add 8) • Multiplication Property (•3) • Subtraction Property (- 9) • Division Property (÷ 14x)

  4. Isolate “w” in the following equations. Give a property to justify each step. • y = 2x + w v • vy = 2x + w • vy – 2x = w • w + x = y 3 • w = y – x 3 • w = 3(y – x) • Multiplication Property (•v) • Subtraction Property (-2x) • Subtraction Property (-x) • Multiplication Property (•3) Image from http://varner.typepad.com/mendenhall/

  5. Isolate “m” in the following equation. Give a property to justify each step. • k = am + 3mx • k = m(a + 3x) • k = ma + 3x • 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 + 3x]) Image from http://varner.typepad.com/mendenhall/

  6. Image from http://varner.typepad.com/mendenhall/ Formulas • There are many formulas that you have used so far in your math career. Here are a few: • D = rt • A = bh • I = Prt • V = LWH • SA = 2LW + 2LH + 2WH • V = h Solve for h • V = h • 3V = hMult. Prop of Eq. (By 3 to clear fraction) • 3V = h Division Prop. of Eq.

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