Name:_______________________________ 3.1 Introduction to Algebra: Vocabulary Equation: a math sentence that states two quantities are ___________ . It will have an _____________________ . 3x + 1 = 7 The equation says: what is on the left ( ) is equal to what is on the right ( ). Parts of an Equation Variable: a ____________ that represents a number we do not know yet. 3x + 1 = 7 !!! Every variable has a _________________ Coefficient: the number ____________________ the variable. Can be __________________ or __________________ . Constant: a number with no ________________ 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? 2k + 15 – m – 3 + n – 7p – 8 – 4c + 7 – c – 12c – 2 Terms: ______________________________ Terms: ______________________________ Variables: ____________________ Variables: ____________________ Coefficients: _________________ Coefficients: _________________ Constants: ____________________ Constants: ____________________ EXPRESSION: a group of terms. Contains numbers, __________________, and variables. DOES NOT contain an _________________________ . Label the parts of the expression: Coefficient, Constant, Variable 1. 8y – 7 + 2y How many TERMS are present in this expression? ____ List them: ________________________ 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: ___ ___ ___ ___ . >: _________________________ < : _____________________ ≥: _________________________ ≤ : _______________________ Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol. 1 –2 1) 5x > 25 2) 3) 29 – k 4) 8b + 9c < 45 5) 2 6) r – (–12) = 9 12 7) –4m = 16 8) h + (–9) ≥ 3 Write without parentheses (Simplify the expressions): (–a)3 (–5)x (–1)(–c) –8(–m) 4(–b) –(–8)y (–d)(–6) –n(–7) (–3)2x –3(2x) 3(–2x) –3(–2x) (–3)6a (–7x)(–5) –8m (3) –6(–2d) 6a(2) –6a(2) 6a(–2) (–6a)(–2) Label the following parts. Math Sentence 3x – 2 = 16 Variables Coefficients Constants # of Terms Equation, Expression, or Inequality? Homework 3.1 1. Label the following parts. Math Sentence Equation, Variables Coefficients Constants # of Terms Expression, or Inequality? 5x = 40 12 + y > 13 3k – x + 9 w + (–6) = 7 –10 + 3x – x 2. Write without parentheses (Simplify the expressions): 4b(–8) –6(4y) –4(–3n) –7c(–3) 14x(–7) 14x(–7) –14x(–7) –14x(7) Identify the terms, variables, coefficients, and constants in each expression. 3) –5a – 7 + 5d + h 4) 7m – 5 – n – 8k Terms: Terms: Variables: Variables: Coefficients: Coefficients: Constants: Constants: Tell whether the following phrases are expressions, equations, or inequalities. Circle the key symbol. 1 <2 5) 5x = 25 – 3x 6) 7) 29 – k ≥ -5 8) 8b + 9c + 45 2 9) A sentence containing the symbol < is called a(n) _________________. 10) Expressions that represent repeated multiplication are called __________________. 11) An integer and its opposite are _____________________________. 12) What is the multiplicative inverse of 5? _______

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# 3x + 1 = 7