Both Equations in a System Contain the Same Variable
Solving a system of equations using the substitution method when both equations contain the same variable.
Subject: term
Transcript: A SYSTEM LIKE THIS. BOTH EQUATIONS HAVE BEEN SOLVED FOR 2X. IT'S OK THAT THE VARIABLE TERMS HAVE A COEFFICIENT. AS LONG AS THE VARIABLE HAS THE SAME
Solving Systems with Substitution
An introduction to using the algebraic method of substitution to solve a system of equations in which one of the equations is not in slope-intercept form.
Subject: term
Transcript: SUBSTITUTION. SUBSTITUTION INVOLVES REPLACING ONE TERM OR EXPRESSION WITH ANOTHER EQUAL TERM OR EXPRESSION. IN THIS SYSTEM, IF WE KNEW THAT Y WAS EQUAL TO 1, WE
Financial Statements
Study the two most basic financial statements of any business -- the income statement and the balance sheet
Subject: terms
Transcript: PIECES OF INFORMATION ARE IMPORTANT. COST MIGHT BE MUCH HIGHER FOR THE CURRENT PERIOD IN TERMS OF ACTUAL DOLLARS SPENT. BUT IF NET SALES ARE ALSO WAY UP
Adding More Complex Expressions
Demonstration of adding terms in a complex algebraic expression and a practical problem demonstrating application of this skill in the real world.
Subject: term
Transcript: . THE LARGE CARTONS STAND FOR ONE KIND OF TERM. THE MEDIUM SIZED ONES FOR ANOTHER AND THE SMALL ONES FOR A THIRD. WE COULD EVEN USE THE LETTERS L, M, AND
When the Elimination Method is Easiest
How to decide whether substitution or elimination is the better method for solving a system of equations when both equations are in the same form and neither has been solved for a variable.
Subject: term
Transcript: MATTER WHICH VARIABLE WE SOLVED FOR, DIVISION WILL GIVE US TERMS WITH MESSY FRACTIONS. WE'D HAVE TO DO A LOT OF ARITHMETIC TO WORK WITH NUMBERS LIKE THESE
What is a Term?
The definition of a term within an algebraic expression.
Subject: term
Transcript: SEPARATE QUANTITIES BEING ADDED OR SUBTRACTED. WE CALL EACH OF THEM A TERM. SO THERE ARE ONE, TWO, THREE, FOUR TERMS. BUT LOOK AT THIS EXPRESSION. 35X CUBED
Factor: 8x2 10x - 25
Practice factoring a trinomial in which the last term is negative: 8x2 10x - 25.
Subject: term
Transcript: HERE'S ANOTHER TRINOMIAL WITH A NEGATIVE TERM. THIS TIME THE LAST TERM IS NEGATIVE. WE NEED A PAIR OF NUMBERS WHOSE SUM IS 10. THE NUMBERS MUST ALSO
Factor: xy 18 6y 3x
Practice factoring: xy 18 6y 3x
Subject: term
Transcript: WE CAN USUALLY GROUP POLYNOMIALS LIKE THIS A COUPLE OF DIFFERENT WAYS. LOOK AT THE FIRST TWO TERMS OF THIS EXPRESSION, THEY HAVE NO COMMON FACTOR
Factoring Binomials That Are The Difference of Two Perfect Squares
MM_ALG_21K_014
Subject: term
Transcript: OF EACH TERM IN THE ORIGINAL EXPRESSION. THE SQUARE ROOT OF X SQUARED IS X. THE SQUARE ROOT OF 36 IS 6. THE OTHER BINOMIAL FACTOR IS ALWAYS THE SQUARE
Factoring Perfect Square Trinomials
The perfect square trinomial is a polynomial that can be factored using a special formula. In standard form, the first and last terms of a perfect
Subject: term
Transcript: AT THE TERMS. IN STANDARD FORM, THE FIRST AND LAST TERMS OF A PERFECT SQUARE TRINOMIAL ARE ALWAYS PERFECT SQUARES. THE MIDDLE TERM IS ALWAYS THE