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Name _____________________________________________ Date ______________ Period ________ Unit 2 “Expressions & Equations” Term Variable Definition A symbol, usually a letter, which is used to represent one or more numbers. Numerical Expression Algebraic Expression Term An expression consisting of numbers and operations. ( +, -, x, ÷ ) An expression consisting of at least one variable and also consist of numbers and operations. A number, a variable, or a product of a number and a variable. (+, - signs separate terms) The number part of a term that includes a variable. The number multiplied by the variable. A quantity having a fixed value that does not change or vary, such as a number. A number that is constantly alone! A mathematical sentence formed by setting two expressions equal. A mathematical sentence formed by placing an inequality symbol such as <, >, >, <, between two expressions. The number used as a factor when raised to a power. Tells how many times to multiply the base times itself. Coefficient Constant Equation Inequality Base Exponent Example x + 5 = 8, x is a variable that stands for 3 127–24 + 2 5z – 8 8, 5y, x, 7abcdf 5y, 5 is the coefficient 6n + 9, 9 is the constant 8m + 3 = 29 12p + 2 < 26 2x -13 ≥ 21 4 3 , 4 is the base 4 3 , 3 is the exponent Name _____________________________________________ Date ______________ Period ________ Unit 2 “Expressions & Equations” Power Commutative Property Associative Property Identity Property Distributive Property Order of Operations Evaluate Like terms The exponent tells how many times the base is raised to a power. The sum or product of numbers will not change when the order changes. The sum or product of numbers will not change when the grouping changes The sum of a number and 0 is that number. The product of a number and 1 is that number. If you multiply a sum by a number, you will get the same result as if you multiply each addend by that number and then add the products. Rules for evaluating expressions. Parenthesis, Exponents, Multiply/Divide, Add/Subtract Solve Terms with the same variable raised to the same exponent/power. 4 3 , “four to the third power” 8+7=7+8 9 3 = 3 9 9+(6+5) = (9+6)+5 5 (4 3) = (5 4) 3 8+0=8 15 1 = 15 8(4 + 5) = 8(4) + 8(5) PEMDAS x+3=2 -3 -3 x = -1 3y, y, -4y