ࡱ> QSP{ bjbjBrBr Ə  XX4VCXXXX$$$BBBBBBB$EG|B$+#l$$$BXXCW(W(W($XXBW($BW(W()?AX׬$^?B&C0VC@.H %L.H4A.HA0$$W($$$$$BBW($$$VC$$$$.H$$$$$$$$$X x: CC MATH I STANDARDS UNIT 3 4.5 SOLVING TWO-STEP EQUATIONS: PART 1 WARM UP: Solve part (a) equations, and then use that to find part (b) answers. 1a)  EMBED Equation.3  2a)  EMBED Equation.3  3a)  EMBED Equation.3  1b) What is 3r? 2b) What is x 2? 3b) What is u + 18?  4a)  EMBED Equation.3  5a)  EMBED Equation.3  6a)  EMBED Equation.3  4b) What is 2s? 5b) What is  EMBED Equation.3 ? 5b) What is  EMBED Equation.3 ?  INTRODUCTION TO SOLVING TWO-STEP STEP EQUATIONS: Find numbers that answer the following questions: What can you double and then add 5 to get 13? What can you triple and then subtract by 7 to get -1? You can triple and then subtract by 1 to get 29? What can you double and then add -6 to get -16? What can you double and then subtract from 9 to get 5? What can you half and then add 9 to get 15? SOLVING TWO-STEP EQUATIONS: Verbal explanation by fill in the blanks #1) 7m 17 = 60 Step One: What minus 17 equals 60?  SHAPE \* MERGEFORMAT  17 = 60 Step Two: What times 7 equals previous answer? 7 SHAPE \* MERGEFORMAT  =  SHAPE \* MERGEFORMAT  #2) 2n 25 = 13 Step One: What minus 25 equals 13?  SHAPE \* MERGEFORMAT  25 = 13 Step Two: What times -2 equals previous answer? -2 SHAPE \* MERGEFORMAT =  SHAPE \* MERGEFORMAT  #3) 7 + 3x = 40 Step One: 7 plus what equals 40? 7 +  SHAPE \* MERGEFORMAT  = 40 Step Two: What times 3 equals previous answer? 3 SHAPE \* MERGEFORMAT  =  SHAPE \* MERGEFORMAT  #4) 12 + 5y = 27 Step One: 12 plus what equals 27? 12 +  SHAPE \* MERGEFORMAT  = 27 Step Two: What times 5 equals previous answer? 5 SHAPE \* MERGEFORMAT =  SHAPE \* MERGEFORMAT  TWO-STEP EQUATIONS: Work Backwards 1) Find the VARIABLE. 2) Identify all operations. 3) In REVERSE ORDER of PEMDAS (SADMEP), cancel operations. 4) Use the same number and opposite operations Operations: Operations: Operations: Operations: 1) 2y 7 = 23 2) 8 + 6x = - 4 3) -5r - 18 = 12 4) 11 7x = 67 PRACTICE: SOLVING TWO-STEP EQUATIONS 1.  EMBED Equation.3  2.  EMBED Equation.3  3.  EMBED Equation.3  4.  EMBED Equation.3  5.  EMBED Equation.3  6.  EMBED Equation.3  7.  EMBED Equation.3  8.  EMBED Equation.3  9.  EMBED Equation.3  10.  EMBED Equation.3  11.  EMBED Equation.3  12.  EMBED Equation.3  13.  EMBED Equation.3  14.  EMBED Equation.3  15.  EMBED Equation.3  16.  EMBED Equation.3  17.  EMBED Equation.3  18.  EMBED Equation.3  19.  EMBED Equation.3  20.  EMBED Equation.3  21.  EMBED Equation.3  22.  EMBED Equation.3  23.  EMBED Equation.3  24.  EMBED Equation.3  CC MATH I STANDARDS: UNIT 3 4.5 SOLVING TWO-STEP EQUATIONS: PART 2 WARM UP: Solve for the given variable. 1)  EMBED Equation.3  2)  EMBED Equation.3  3)  EMBED Equation.3  4)  EMBED Equation.3  5)  EMBED Equation.3  6)  EMBED Equation.3  SOLVING 2-STEP EQUATIONS WITH FRACTIONS Solve in reverse order of operations = SADMEP FRACTIONS represent DIVISION statements. Be careful for hidden parentheses when there are OPERATIONS in numerator Option #1: NO OPERATIONS IN NUMERATOROption #2: OPERATIONS IN NUMERATOR  EMBED Equation.3   EMBED Equation.3  PRACTICE PROBLEMS  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  WORD PROBLEMS INVOLVING MULTI-STEP EQUATIONS: Write an equation for the problem below and then solve the equation. The product of negative 4 and y increased by 11 is equivalent to -5.Eight more than five times a number is negative 62. 8 less than twice a number is twelve. The product of 5 and x decreased by 7 is as much as 42. How old am I if 400 reduced by 2 times my age is 244? For a field trip 4 students rode in cars and the rest filled nine buses. 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