Solving equations with Rational Coefficients s i h
- Slides: 13
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 + 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 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 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 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.
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
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 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 side of the equatio by the MULTIPLICATIVE INVERSE of -7/15 -1 1 Multiply Divide (cancel) common factors
Try It Out!! Solve
Homework n Text page 249, #12 -32 evens
- Two step equations with fractional coefficients
- Rational coefficients examples
- Solving equations with fractional coefficients
- Solving equations containing rational expressions
- 8-5 solving rational equations and inequalities
- Solving equations with rational numbers word problems
- How to solve rational inequalities algebraically
- Rational inequality
- 5-5 solving rational equations and inequalities
- Solving rational equations
- Solving equations with rational exponents
- Rational equation word problems
- Solving rational equations and inequalities
- Pttp 5-3-2