![]() Pitch is indicated by how high or how low a note’s head is located on a staff and isĪ note head higher in the staff = higher pitch Ī note head lower in the staff = lower pitch.Ĭlefs are symbols that determine which note letter names belong to the lines and spaces of a staff. Pitch is the highness or lowness of a note or sound. Stem - the straight line part of a note that is connected to the note head.įlag - a curved line that is attached to the other end of the stem.īeam - a straightened flag that connects two or more note stems. Parts of a note: Head - the round part of a note. That music notes and symbols are written or printed on. Lines) that music notes and symbols are written or printed on. Staff (or Stave) - a set of 5 lines (and 4 spaces between those Solve the resulting equation.HOW TO READ MUSIC NOTES (QUICK-LEARN CHEAT SHEETS), Find the square root of both sides of the equation. Add (b/2) 2 to both sides of the equation to form a perfect square on the left side of the equation. Set each factor to zero and solve.īy completing the square: Put the equation in the form of ax 2 + bx = -c (make a -1 by dividing if necessary). Solving Quadratic Equationsīy factoring: Put all terms on one side of the equal sign and factor. Negative multiplication axiom: If c b if, and only if, ac < bc. Positive multiplication axiom: If c > 0, then a > b if, and only if, ac > bc. Trichotomy axiom: a > b, a = b, or a b and b > c, then a > c.Īdditive axiom: If a > b, then a + c > b + c. ![]() Multiply the means and extremes their sum must equal the middle term. ![]() Use double parentheses and factor the first term and place the factors in the left side of the parenthesis.įactor the last term and place the factors in the right sides of the parentheses.ĭeciding the signs of the numbers, and the numbers themselves, may take trial and error. Express your answer as the product of the sum and difference of those quantities.Find the square root of the first term and the second term.Factoringįind the largest common monomial and factor of each term.ĭivide the original polynomial to obtain the second factor. Solve exactly like equations, except if you multiply or divide both sides by a negative number, you must reverse the direction of the inequality sign. To divide a polynomial by another polynomial, make sure both are in descending order, then use long division (divide by first term, multiply, subtract, bring down).To divide a polynomial by a monomial, divide each term by the monomial.method (first, outer, inner, last) is often used when multiplying binomials. To multiply two polynomials, multiply each term in one polynomial by each term in the other polynomial.To add or subtract polynomials, add or subtract like terms only.Trinomials consist of exactly three terms. To divide monomials, subtract the exponent of the divisor from the exponent of the dividend of the same base: x 8/ x 3 = x 5.Ī polynomial is an algebraic expression of two or more terms, such as x + y.To multiply monomials, add the exponents of the same bases: x 4( x 3) = x 7.Add or subtract monomials with like terms only: 3 xy + 2 xy = 5 xy.MonomialsĪ monomial is an algebraic expression that consists of only one term. ![]() The coordinates of the intersection are the solution. Graphing Method: Graph each equation on the same graph. Substitution Method: Solve one equation for one variable and substitute that variable into other equations. The equations may need to be multiplied by a common multiple first. Divide by the number in front of the variable.Īddition/Subtraction Method: Combine equations to eliminate one variable.Get the variable on one side of the equal sign and numbers on the other.Multiplicative axiom: If a = b and c = d, then ac = bd Solving Equations Transitive axiom: If a = b and b = c, then a = cĪdditive axiom: If a = b and c = d, then a + c = b + d
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