/BBox [0 0 534.67 16.44] Q /BBox [0 0 88.214 16.44] /FormType 1 /Font << Q 0 G /Length 69 1 i /F4 24 0 R (=) Tj 1 i Q 237.401 5.336 TD /ProcSet[/PDF/Text] /Matrix [1 0 0 1 0 0] endstream >> /FormType 1 q Q 1.007 0 0 1.007 551.058 560.092 cm /BBox [0 0 88.214 16.44] 0 g /Meta892 908 0 R Q /Meta1549 1567 0 R /F3 12.131 Tf >> /Matrix [1 0 0 1 0 0] << /Resources<< q ET 1.007 0 0 1.007 551.058 350.81 cm << >> 2.238 5.203 TD 0 g endstream /Font << 1.007 0 0 1.007 130.989 666.991 cm q /Subtype /Form /Meta263 277 0 R Q /Meta1270 Do q >> 1.005 0 0 1.007 102.382 628.598 cm (1) Tj /Type /XObject 0 g 1 i /FormType 1 Worked example: equivalent systems of equations, Worked example: non-equivalent systems of equations, Level up on the above skills and collect up to 480 Mastery points, Systems of equations number of solutions: fruit prices (1 of 2), Systems of equations number of solutions: fruit prices (2 of 2), Solutions to systems of equations: consistent vs. inconsistent, Solutions to systems of equations: dependent vs. independent, Number of solutions to a system of equations, Number of solutions to a system of equations graphically, Number of solutions to a system of equations algebraically. /Subtype /Form /BBox [0 0 15.59 16.44] endobj ET /Matrix [1 0 0 1 0 0] 367 0 obj >> << /Resources<< q /FormType 1 q /Meta345 359 0 R /Subtype /Form /Subtype /Form 1 g ET /Type /XObject >> /Meta1622 1642 0 R >> >> /Meta240 254 0 R BT 1 i q 1.007 0 0 1.007 130.989 499.114 cm q /Meta318 332 0 R stream >> /Meta1405 1423 0 R stream /Length 69 stream q /Length 59 1 i stream /BBox [0 0 88.214 16.44] BT Q << /Matrix [1 0 0 1 0 0] >> /Font << q >> 0.524 Tc q /Meta689 705 0 R /ProcSet[/PDF/Text] endstream ET /FormType 1 0.737 w ET /Font << << /Matrix [1 0 0 1 0 0] q /Matrix [1 0 0 1 0 0] >> 1442 0 obj (2\)) Tj q endstream >> /Type /XObject endobj 1 g /Type /XObject Q (17) Tj /Resources<< /Resources<< /Length 80 Q Q /Subtype /Form /Type /XObject /Resources<< /Type /XObject /Subtype /Form q 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97 endobj Q /BBox [0 0 88.214 16.44] BT q /ProcSet[/PDF/Text] q >> /FormType 1 (4) Tj Q Q /FormType 1 0.268 Tc /FormType 1 endstream endobj /ProcSet[/PDF] /Matrix [1 0 0 1 0 0] 1.005 0 0 1.007 102.382 270.259 cm /BaseFont /PalatinoLinotype-Bold endobj /Length 12 q 1 i /Subtype /Form ET ET /Matrix [1 0 0 1 0 0] /Matrix [1 0 0 1 0 0] q /Font << /FormType 1 /F4 12.131 Tf (25) Tj 1.502 5.203 TD >> /Resources<< >> /BBox [0 0 88.214 16.44] /BBox [0 0 639.552 16.44] /Length 12 /Subtype /Form Q /Meta755 Do /Font << ( 1) Tj 1 g ET /BBox [0 0 88.214 16.44] /F3 12.131 Tf /Matrix [1 0 0 1 0 0] /Font << 1.005 0 0 1.007 102.382 313.922 cm q 0 g >> BT /Meta1374 Do >> q Q Q endstream /FormType 1 1 i 52.412 18.064 TD Q << stream q endstream /Meta1019 Do /Font << /F3 12.131 Tf 874 0 obj endstream 686 0 obj /ProcSet[/PDF] /Subtype /Form 1) EMBED Equation.3 2) EMBED Equation.3 3) EMBED Equation.3 4) EMBED Equation.3 5) EMBED Equation.3 6) EMBED Equation.3 REVIEW OF SIMPLIFYING EXPRESSIONS COMPLETE THIS SECTION AFTER QUIZ IS COMPLETED 1) 3a + 7b + 5a 4b 2) 9(2x 8) 3) 15 4 (6n + 3) 4) 6( 3 8b) 5) 12x 5 7x 2 6) 7(8 + 4z) 15z HOW TO SOLVE MULTI-STEP EQUATIONS 1) SIMPLIFY ALL EXPRESSIONS (Distribute, Combine Like Terms, Evaluate) 2) IDENTIFY VARIABLE 3) CANCEL Operations using their opposites in reverse order of operations EXAMPLES: 1) 7x + 5 3x = 17 2) 9(x + 4) = 63 3) 4(2y 3) = 28 4) 7(6 x) = 56 5) 3(8+ n) 15 = 24 6) EMBED Equation.3 7) 19 = 9 + 2(x 7) 8) EMBED Equation.3 9) 4(3y 5) 7y = - 60 CC MATH I STANDARDS UNIT 3 4.5 SOLVING MULTI-STEP EQUATIONS: PART 2 WARM UP: Simplify each of the following expressions 1) EMBED Equation.3 2) EMBED Equation.3 3) EMBED Equation.3 4) EMBED Equation.3 5) EMBED Equation.3 6) EMBED Equation.3 SOLVE THE FOLLOWING ONE and 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 PRACTICE: SOLVE MULTISTEP EQUATIONS 1) 10x 7x = 12 2) 9z + 11 5z = 27 3) 7 + 6n 9 = - 4 4) 6(y + 7) = 66 5) -3(4x + 9) = 15 6) 5(1 2x) = - 65 7) 8 + 3(r + 5) = 5 8) 15 2 ( 7 x) = 7 9) 7(3 + 4y) 15y = 73 10) EMBED Equation.3 11) EMBED Equation.3 12) EMBED Equation.3 CC MATH I STANDARDS UNIT 3 4.5 SOLVING MULTI-STEP EQUATIONS: PART 3 WARM UP PART 1: Simplify each expression 1) EMBED Equation.3 2) EMBED Equation.3 3) EMBED Equation.3 WARM UP PART 2: Solve each equation 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 HOMEWORK: SOLVE EACH EQUATION #1 14 10/22 Use a separate piece of paper as needed Reduce all fraction answers 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 MATCH SOLUTIONS BELOW WITH THE EQUATIONS ABOVE 2 4 -3 -5 -1/2 1 1/3 -2 3 -7 9 11 3/2 BONUS: 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