2 evaluate equals symbol equation variable brackets simplify term Objectives:Understand that algebraic operations follow the same rules as arithmetic operations.Solve simple equationsTransform information from words into algebraic expressions and equations.Vocabulary:evaluateequalssymbolequationvariablebracketssimplifytermexpression
3 X + 7 = 22 T + 6 = 19 + R = 34 + W = 41 P - 14 = 27 G - 23 = 5 - H = 2 W/S 6.1BX = 22T = 19+ R = 34+ W = 41P = 27G = 5- H = 2L = 17(X = 15)(T = 13)(R = 27)Solve the equations.(W = 22)(P = 41)(G = 28)(H = 12)(L = 7)
4 W/S 6.2BFind the missing numbers:1. A number x is multiplied by 6, and you get 54.X = 92. Add 7 to a number y, double the answer and you get 20.Y = 33. Think of a number T, multiply it by itself and the answer is 36T = 64. Think of a number z, square it, add 12 and then you get 21.Z = 35. Think of a number P, and then subtract 7. The answer is 25.P = 32
5 Expression in words:Expression in symbols:Add seven to a number.N + 7Equation in symbols:Equation in words:N + 7 = 15Add 7 to a number and you’ll get 15.When we give an expression in symbols it is called an algebraic expression.
6 W/S 6.3BProblems:Make each of the expressions below into algebraic expressions.1. A number X is multiplied by 3 and then added to 20.(X x usually written 3x + 20)2. Take 6 away from T.( T – 6 )3. Think of a number Y, double it, then subtract 7.( Y x 2 – 7 usually written 2Y – 7 )4. Think of a number Z, square it then add 5.( Z² + 5 )5. I think of a number ,G, add 2 and then multiply the answer by 3.( G + 2 ) x 3 usually written 3 ( G + 2)
7 W/S 6.4BMake each of the statements below into algebraic equations.1. I think of a number, M, multiply it by 3, and add 7and the answer is 16.3M + 7 = 16M = 32. I think of a number, double it, take 7 away and the answer is 3.2N – 7 = 3N = 53. I think of a number, add 3 and then multiply by 4. The answer is 24.4 ( N + 3 ) = 24N = 34. I think of a number, square it, take away 3 and the answer is 13.N² - 3 = 13N = 4In each of the questions above can you solve the equation.
8 evaluate equals symbol equation variable brackets simplify term Objectives:Understand that algebraic operations follow the same rules as arithmetic operations.Solve simple equationsTransform information from words into algebraic expressions and equations.Vocabulary:evaluateequalssymbolequationvariablebracketssimplifytermexpression