Solving equations with Rational Coefficients s i h

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Solving equations with Rational Coefficients ? ? s? i h rt e mb e

Solving equations with Rational Coefficients ? ? s? i h rt e mb e m Re EQUATION – mathematical sentence formed by placing an “=“ between two 22 = 14 + z y – 8 = 12 expressions 11 a = 121 5 ÷ x = 30

me e R rt e mb ? ? s i h ? Equation x

me e R rt e mb ? ? s i h ? Equation x + 7 = 10 Left side ‘x’ has to be 3 in order to make the equation balanced. Like a scale, the left side and right side must be the same in order to be balanced! Right side

Equation 4 x = 10 7 Left side Like a scale, the left side

Equation 4 x = 10 7 Left side Like a scale, the left side and right side must be the same in order to be balanced! Right side

Objective SWBAT use multiplicative inverses to solve equations with rational coefficients. n Coefficient is

Objective SWBAT use multiplicative inverses to solve equations with rational coefficients. n Coefficient is the numerical factor of a term that contains a variable 18 x + 4 = 360 n ¾ x = 18 3. 15 = 0. 45 n

Section 5. 6, “Using Multiplicative Inverses to Solve Equations” Multiplicative Inverse Property To solve

Section 5. 6, “Using Multiplicative Inverses to Solve Equations” Multiplicative Inverse Property To solve an equation that has a fractional coefficient, you can multiply each side of the equation by the fraction’s multiplicative inverse. MULTIPLICATIVE INVERSE = RECIPROCAL

MULTIPLICATIVE INVERSE– the product of a number and its multiplicative inverse is 1.

MULTIPLICATIVE INVERSE– the product of a number and its multiplicative inverse is 1.

Solve for x. Multiply each side of the equation by the MULTIPLICATIVE INVERSE of

Solve for x. Multiply each side of the equation by the MULTIPLICATIVE INVERSE of 4/7 Multiply -3 Divide (cancel) common factors 1

Try It Out!! Solve

Try It Out!! Solve

Solve equations with decimal coefficients n To solve an equation with a decimal coefficient,

Solve equations with decimal coefficients n To solve an equation with a decimal coefficient, divide each side of the equation by the coefficient 3. 15 =. 45 n Division property of equality. 45 7=n Simplify

? ? ? is h t er b m e m Re Solving Multi-Step

? ? ? is h t er b m e m Re Solving Multi-Step Equations How can you get the “unknown” by itself? Solving Equations with Variables on Both Sides STEP 1 STEP 2 STEP 3 STEP 4 STEP 5 STEP 6 - Use distributive property and combine like terms. Collect variables on one side of the equation. “Undo” addition and/or subtraction. “Undo” multiplication and/or division. Solve for the variable. Check your work.

Solve for x. Subtract 4/5 from each side. Write fractions using LCD Multiply each

Solve for x. Subtract 4/5 from each side. Write fractions using LCD Multiply each side of the equatio by the MULTIPLICATIVE INVERSE of -7/15 -1 1 Multiply Divide (cancel) common factors

Try It Out!! Solve

Try It Out!! Solve

Homework n Text page 249, #12 -32 evens

Homework n Text page 249, #12 -32 evens