Unit 6 Vocab Rachel Cryberg Constant term and Division of fractions property • A Constant term is the part of a equation that has no variables. p(x)=2x3–4x2+9x–5 (5 is the answer) L(h)=8x12-12x6+18h-3 (3 is the answer) • Division of fractions property is basically dividing a fraction is the same as multiplying by it’s reciprocal. The reciprocal of ½ is 2. 10 ÷ ½ = 10 x 2 = 20 The reciprocal of ¼ is 4. 10 ÷ ¼ = 10 x 4 = 40 Equation and Equivalent equations • Equation is a number sentence that contains a equal sign. 4+5=9 25+95=120 • Equivalent equations are number models that equal the same on both sides. A+O=O+A 3+9=9+3 Inequality and Integers • Inequality any number sentence with ≥, ≤, >, <, = 5>2 78<1234321 • Integers are positive and negative numbers. -4, -5, -6, 7, 8, 9 Multiplication property of -1 and Nested parentheses • Multiplication property of -1 you multiply any number by -1 you will get it’s opposite. -1x23=-23 -1x-23=23 • Nested parentheses are a set of more than one set of parentheses in side another. (2+(3x8))x5-10=x 7x6x((8+10)-4)+7 Open sentence and Opposite of a number • Open sentence is a number sentence that is neither true or false because one or more variables are in it. Yx4-6+G=A 7-8+21-t+a=S • Opposite of a number: the opposite number is if the negative is positive and the positive is negative. -6=6 -123456789=123456789 Order of operations and Reciprocal and Relation symbol • Order of operations rules to tell in what order to preform operations in. Parentheses Exponents Multiplication Division Addition Subtraction • Reciprocal is the opposite of the fraction. ½ is the reciprocal of 2/1 12321/6 is the reciprocal of 6/12321 • Relation symbol a symbol used to express a relationship with answers between two quantities. 76<84 49>42 Repeating decimals and Solution • Repeating decimals is a decimal number that has digits that repeat forever. 3.5556555655565556… 5.888 • Solution comes after the equal sign and the answer to the problem. 4x5=20 9+5=14 Solution set and Terminating decimals • Solution set is a set of all solutions of an equation or inequality. X = 36 x =6x6 R =64 R =8x8 • Terminating decimals is a decimal number that has digits that doesn't go on forever. 0.4 0.25 Trial and error method and Variable • Trial and error method is where you guess for a equation and make sure the answer is right 5 25 6x5=30 5x5=25 • Variables are the a symbol for a number you don't know yet. Yx5+4=? 15+5-10x3/y=?