Mastery+Skills+Explanations+3rd+term

__ Adding Mixed Numbers __ Find the least common denominator. Adjust the numerator by the same factor as the denominator. Add whole numbers and numerators, but not denominators. Simplify improper fractions.

__ Subtracting Mixed Numbers __ Adjust fractions the same way as for adding. If needed, borrow to avoid a negative fraction with a positive integer. Subtract and simplify as needed.

__ Multiply Mixed Numbers __ Change mixed numbers to improper fractions. Cancel common factors in the numerator and denominator. Multiply straight across. Change improper fractions to mixed numbers.

__ Divide Mixed Numbers __ Change mixed numbers to improper fractions. Rewrite problem as multiplication and changing the divisor (the 2nd fraction) to its reciprocal. (To divide by a fraction, multiply by its reciprocal.) Cancel common factors in the numerator and denominator. Multiply straight across. Change improper fractions to mixed numbers.

__ Order of Operations with, [ ], Exponents __ Start with the inner most grouping symbols. Then do exponents, multiply and divide left to right, add and subtract left to right. Follow this pattern from the inside out. A number next to a grouping symbol means to multiply.

__ GCF of Monomials __ List the prime factors of the coefficients. List the variables, making as many copies as the exponents says. Group any factor common to all the given monomials. GCF = one factor for each group. Multiply the common factors. __ LCM of Monomials __ List the prime factors of the coefficients. Match up any factors that are common to any two monomials. LCM = one factor for each group AND one factor for any others left over in the monomial lists. Multiply these factors together.

__ All 1 Step equations: The Pattern __ Original Problem Inverse Operation Identity Step Answer __ 1 Step Equations: Add __ Find the variable and the constant on the same side of the equal sign as the variable. Subtract that constant from both sides of the equation. Show that x + 0 = new total, then x = answer. New total and answer are the same.

__ 1 Step Equations: Subtract __ Find the variable and the constant on the same side of the equal sign as the variable. Add that constant to both sides of the equation. Show that x + 0 = new total, then x = answer. New total and answer are the same.

__ 1 Step Equations: Multiply __ Divide both sides of the equation by the coefficient. Cancel common factors in numertors and denominators, especially the coefficient and the divisor. Show that 1 times the variable = new number, then variable = answer. New number and answer are the same.

__ 1 Step Equations: Divide __ Multiply both sides of the equation by the number that the variable is being divided by. On the variable side of the equation, show the multiplying number as a fraction to keep numerators and denominators straight. Cancel common factors in numertors and denominators, especially the divisor and the multiplier. Show that 1 times the variable = new number, then variable = answer. New number and answer are the same.