Multiplying Two Expressions
Multiplying the contents of two sets of parentheses demonstrates how algebra provides the tools to break the most complicated problem into simple, sequential steps.
Subject: subtraction
Shortcut for Solving Equations, A
Any term in an equation can be transferred to the other side if you change the sign. An explanation of this shortcut for solving equations.
Subject: subtract
Transcript: THE CONSTANT BY SUBTRACTING IT FROM BOTH SIDES OF THE EQUATION. SINCE WE HAVE POSITIVE 8 ON THE LEFT, WE SUBTRACT 8 FROM BOTH SIDES OF THE EQUATION AND
Simplify first by Combining Like Terms
Equations can sometimes be simplified to present the same information in a form that is easier to work with. Simplify whenever possible by combining like terms.
Subject: subtract
Transcript: 'T CHANGE THE LEFT SIDE, WE DON'T HAVE TO DO ANYTHING TO THE RIGHT SIDE. NOW WE CAN SUBTRACT 7 FROM BOTH SIDES. THE SOLUTION IS X EQUALS 4. EXPRESSIONS ARE
Subtraction Problem
MM_ALG_03K_011
Series: Adding And Subtracting Algebraic Expressions
Subject: subtract
Transcript: NARRATOR: V MINUS 8XY PLUS 4Z MINUS 5XY MINUS 3Z. CAN YOU SOLVE THIS ONE YOURSELF? THERE ARE PARENTHESES AROUND THE EXPRESSION WE'RE SUBTRACTING, SO
Order of Radicals and Exponents, The
In algebraic expressions, radicals and exponents are completed first.
Subject: subtraction
Treating the Numerator and the Denominator as a Package
Numerators and denominators are packages that cannot be broken up, and must first be simplified.
Subject: subtraction
Transcript: WE DO ANYTHING ELSE. IN THE NUMERATOR, THE RADICAL HAS TOP PRIORITY. SO WE START WITH THE SQUARE ROOT OF 9, WHICH IS 3. THEN WE SUBTRACT. 10 MINUS 3
Examples showing the Order of Operations
The order of operations is demonstrated in three examples.
Subject: subtraction
Transcript: IS 10. SO FAR WE HAVE 16 MINUS 10. FINALLY, WE COME TO STEP THREE: ADDITION AND SUBTRACTION. 16 MINUS 10 IS 6, AND THAT'S OUR ANSWER. 8 SQUARED OVER 4
Division and Subtraction and not Associative
Division and subtraction are not associative operations.
Subject: subtract
Transcript: IS NOT ASSOCIATIVE. AND NEITHER IS SUBTRACTION. THIS EXAMPLE TELLS US WHY. WE ASSOCIATED THE NUMBERS BOTH WAYS AND THE ANSWERS WERE DIFFERENT.
Does Order of Operations Matter?
Algebra includes addition, subtraction, multiplication and division which are called operations. In an algebraic expression, these operations are
Subject: subtraction
Transcript: NARRATOR: THE THINGS WE DO IN ALGEBRA-- ADDING, SUBTRACTING, MULTIPLYING, AND SO ON, ARE CALLED OPERATIONS. SOMETIMES WE HAVE TO PERFORM TWO
Examples of Algebraic Expressions: 'two times y' and 'two y plus 5'.
Two examples of algebraic expressions that demonstrate how a letter next to a number indicates multiplication; 2Y and 2Y 5.
Subject: subtraction