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ALGEBRA I - MR. T
CHAPTER 1 VOCABULARY
Question | Answer |
---|---|
VARIABLE | A LETTER OR SYMBOL THAT REPRESENTS AN UNKNOWN VALUE. |
ALGEBRAIC EXPRESSION | A MATHEMATICAL STATEMENT THAT CONTAINS AT LEAST ONE VARIABLE. EXAMPLE: 3X+4 |
POWER | A PRODUCT THAT IS MADE BY A SINGLE FACTOR BEING MULTIPLIED BY ITSELF. |
BASE | THE FACTOR THAT IS MULTIPLIED BY ITSELF IN A POWER. |
EXPONENT | THE NUMBER THAT TELLS YOU HOW MANY TIMES A FACTOR IS MULTIPLIED BY ITSELF. |
EXPRESSION | A NUMBER, A LETTER OR THE COMBINATION OF NUMBERS AND/OR LETTERS SEPARATED BY OPERATIONAL SIGNS. |
EVALUATE | TO FIND THE VALUE OF AN EXPRESSION BY SUBSTITUTING THE VARIABLES WITH THEIR VALUES AND THEN CALCULATING |
SUBSTITUTION | REPLACING A VARIABLE WITH A VALUE. |
EQUATION | A MATHEMATICAL SENTENCE THAT USES AN EQUAL SIGN TO STATE THAT TWO EXPRESSIONS HAVE THE SAME VALUE EXAMPLE: 2X + 4 = 7 |
SIMPLIFYING | THE ACT OF GETTING AN EXPRESSION INTO IT'S SIMPLEST FORM. |
FORMULA | AN EQUATION THAT SHOWS THE RELATIONSHIP BETWEEN TWO OR MORE VARIABLES. EXAMPLE: P = 2L + 2W |
EXPONENTIAL NOTATION | A METHOD OF WRITING THE MULTIPLICATION OF FACTORS BY USING EXPONENTS |
FACTORS | NUMBERS, LETTERS OR THE COMBINATION OF NUMBERS AND LETTERS THAT WHEN MULTIPLIED TOGETHER FORM A PRODUCT |
REPLACEMENT SET | THE SET OF NUMBERS FROM WHICH YOU CAN SELECT REPLACEMENTS FOR THE VARIABLE IN AN OPEN EQUATION. |
SOLUTION | A REPLACEMENT FOR A VARIABLE THAT MAKES AN OPEN SENTENCE INTO A TRUE EQUATION |
SOLUTION SET | THE SET OR COLLECTION OF ALL OF THE SOLUTIONS OF AN EQUATION. |
COLLECTING LIKE TERMS | TO SIMPLIFY AN EXPRESSION BY PUTTING TOGETHER TERMS THAT HAVE EXACTLY THE SAME VARIABLE FACTORS. |
EQUIVALENT EXPRESSIONS | TWO MATHEMATICAL STATEMENTS THAT HAVE THE SAME VALUE BUT MAY LOOK DIFFERENT. EXAMPLE: 2X + 4 + 3X + 7 = 5X + 11 |
DISTRIBUTIVE PROPERTY | THE PROPERTY THAT IS MODELED BY A(B + C) = AB + AC EXAMPLE: 7(2X + 5) = 14X + 35 |
MULTIPLICATIVE IDENTITY PROPERTY | A x 1 = A |
COMMUTATIVE PROPERTY | THE PROPERTY THAT SAYS THAT WHEN YOU ADD OR MULTIPLY, ORDER DOESN'T MATTER. 2+3 = 3+2 ; (3)(4) = (4)(3) |
ASSOCIATIVE PROPERTY | THE PROPERTY THAT SAYS THAT WHEN YOU ADD OR MULTIPLY, THE GROUPING DOESN'T MATTER. EXAMPLE: 2+(3+4) = (2+3)+4 |