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Name:______KEY___________________ Introduction to Algebra: Vocabulary Equation: a math sentence that states two quantities are equal . It will have an equal sign . 3x – 4 = 7 The equation says: what is on the left ( 3x – 4 ) is equal to what is on the right ( 7 ). Parts of an Equation 3x – 4 = 7 Variable: a letter that represents a number we do not know yet. !!! Every variable has a coefficient Coefficient: the number _multiplied by_ the variable. Can be _positive_ or _negative__ . Constant: a real number with no _variable_ attached. Term – any of the following: single number (constant) single variable the product of a number (coefficient) and variable(s). What coefficient does this variable have? -1 2k + 15 – m – 3 + n – 7p – 8 – 4c + 7 – c – 12c – 2 Terms: __2k, 15, −m, −3, n, p___ Terms: __−8, −4c, 7, −c, −12c, −2 __ Variables: _k, m, n, p____ Variables: __c________________ Coefficients: _2, −1, 1, −7__ Coefficients: _−4, −1, −12__ Constants: __15, −3____ Constants: __−8, 7, −2____ EXPRESSION: a group of terms. Contains numbers, operational signs, and variables. DOES NOT contain an _equal sign__ . Label the parts of the expression: Coefficient, Constant, Variable 1. 8y – 7 + 2y Coefficient Variable Constant How many TERMS are present in this expression? _3_ List them: __8y, −7, 2y____ 2. m + 4 + 2 – 7m + 6 How many TERMS are present in this expression? ____ List them: ___________________________ Identify the terms, variables, coefficients, and constants in each expression. 3. –4a – 7b + 5 + c 4. 7 – 5h – 2 – k Terms: Terms: Variables: Variables: Coefficients: Coefficients: Constants: Constants: 5. 5 – 4x – 8y 6. 9k + 7 – k + 4 Terms: Terms: Variables: Variables: Coefficients: Coefficients: Constants: Constants: Inequality – a mathematical sentence that contains the symbols: _<_ _>_ _≤_ _≥_ . >: __is greater than____ < : __is less than___ ≥: _is greater than or equal to_ ≤ : _ is less than or equal to _ Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol. 1 –2 1) 5x > 25 inequality 2) 3) 29 – k expression 4) 8b + 9c < 45 inequality 6) r – (–12) = 9 equation 5) 12 7) –4m = 16 2 expression 8) h + (–9) ≥ 3 Identify the terms, variables, coefficients, and constants in each expression. –5a – 7 + 5d + h 7m – 5 – n – 8k Terms: Terms: Variables: Variables: Coefficients: Coefficients: Constants: Constants: