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/F3 17 0 R /Type /XObject (C\)) Tj /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: ADVANCED PROBLEMS B#1) 3(2x + 4) 2(5 x) = 66 B#2) EMBED Equation.3 ' ( - = E F M l m n o r s zkbYM>4 h h[= 5CJ j h h[= 5CJ U h[= h[= 56CJ h`J+ 56CJ h[ h[= CJ h[ h[= 56CJ \] h[ h$w 56CJ \] h[ h[= 56>*CJ \]h[ hV} 56CJ \] h[ h 56CJ \] h[ h 56>*CJ \]h[ h$w 56>*CJ \]h[ hV} 56>*CJ \]h[ hy6 56>*CJ \]h[ hV} CJ F m n o gd$w gd[= $ a$ gd[= $a$ wf]I8] j h[= h$w 5CJ EHU &j2)T q q 22.478 20.154 l BT BT Q Q /F4 12.131 Tf Q >> /Matrix [1 0 0 1 0 0] << 1 i 0 5.203 TD 1.005 0 0 1.006 102.382 852.936 cm /FormType 1 /Type /XObject /FormType 1 /Type /XObject << q q >> /Resources<< 0.564 G q 0 g /F3 12.131 Tf q Q q Q Q (4\)) Tj 0.003 Tw 722.699 560.845 l ET 0 G 0 g q [(. 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/BBox [0 0 15.59 16.44] -0.072 Tw q >> /Meta123 137 0 R 0.458 0 0 RG Q Q stream (x) Tj >> /Length 73 << /Matrix [1 0 0 1 0 0] 0 G Q /Meta20 Do q q /Type /XObject endobj /FormType 1 0.369 Tc >> /Length 59 /Length 12 1 i 958 0 obj 1.014 0 0 1.007 251.439 253.697 cm >> 41.187 20.154 l /Subtype /Form /ProcSet[/PDF/Text] /ProcSet[/PDF] endobj /BBox [0 0 88.214 16.44] Q /Subtype /Form /Meta1015 Do 0 g >> >> /Type /XObject q BT 1 i >> /Font << /Meta1536 1554 0 R /F3 12.131 Tf q BT 0.68 Tc 1 i /Font << /F3 17 0 R /Subtype /Form q /ProcSet[/PDF/Text] /Resources<< 0 g /BBox [0 0 534.67 16.44] /Meta1692 1712 0 R /Meta1375 Do /F3 12.131 Tf /Type /XObject << /Type /XObject 1 i endobj BT Q 396 0 obj 116.843 5.203 TD 176 0 obj /Subtype /Form 1326 0 obj 1.014 0 0 1.007 391.462 527.721 cm q (\)) Tj (4\)) Tj /Subtype /Form Q /Font << q /Meta1549 Do /Meta1561 Do Q Solve by the method of your choice. endobj 449 0 obj Q /Resources<< /BBox [0 0 15.59 16.44] /Meta1538 1556 0 R >> >> /FormType 1 /Matrix [1 0 0 1 0 0] 1 i << stream >> << /Type /XObject endstream /ProcSet[/PDF] 0 g /Matrix [1 0 0 1 0 0] 582 546 601 560 395 424 326 603 565 834 516 556]>> /Subtype /Form q 987 0 obj stream q 1 i 1.014 0 0 1.006 391.462 277.787 cm 0.567 Tc q 593 0 obj 1.007 0 0 1.007 130.989 720.441 cm Q /Resources<< q /Subtype /Form 1 i >> Q /Meta477 Do endobj ET >> /Type /XObject 0 G q >> 265 0 obj /Type /XObject /Matrix [1 0 0 1 0 0] /Matrix [1 0 0 1 0 0] 1.007 0 0 1.007 551.058 350.81 cm ET endstream endobj 42 0 obj <> endobj 43 0 obj <> endobj 44 0 obj <>stream 1.007 0 0 1.007 411.035 432.867 cm /FormType 1 /F3 12.131 Tf q 1469 0 obj /Meta799 815 0 R ET ET 0.564 G /Resources<< 0 g Q Q [( s)-18(old )-15(his us)-25(ed )] TJ /Matrix [1 0 0 1 0 0] >> q q stream /Subtype /Form /Subtype /Form endstream q /F3 17 0 R q stream /F3 12.131 Tf stream /Resources<< q /Subtype /Form Q /Matrix [1 0 0 1 0 0] >> /Matrix [1 0 0 1 0 0] /Subtype /Form Q 0.68 Tc /FormType 1 /Subtype /Form /Meta801 Do >> /Type /XObject /Resources<< S /F3 12.131 Tf << /Length 54 0.458 0 0 RG 0 g 0 w endstream /Resources<< stream 509 0 obj >> 1 i >> /ProcSet[/PDF/Text] >> /Resources<< /Resources<< q q ET /F3 12.131 Tf 0 g 1412 0 obj >> >> /Type /XObject /FormType 1 /FormType 1 /Font << BT /Subtype /Form endstream /Subtype /Form . >> >> q 1 g 1.005 0 0 1.007 102.382 252.944 cm /F4 12.131 Tf >> stream (\)) Tj /Subtype /Form q endobj 46.43 5.203 TD /Type /XObject 1.005 0 0 1.007 102.382 330.484 cm 1 i q /Subtype /Form 0 g /Type /XObject 0 g /F4 24 0 R /ProcSet[/PDF] /Meta115 Do /Meta1418 1436 0 R endobj /Meta980 996 0 R 0.564 G Q >> >> 0.458 0 0 RG stream q /Resources<< 0 g 1 g 365 0 obj /Length 16 >> /Font << /Type /XObject 0 G q endobj 0.737 w q Q 835 0 obj /Meta1666 1686 0 R q q 0 g /F3 17 0 R endobj endstream /Meta1271 Do endstream /Matrix [1 0 0 1 0 0] /Meta71 Do Q 1493 0 obj >> q q 1347 0 obj 1.014 0 0 1.006 531.485 307.147 cm endstream endobj q PDF Practice System Linear Equations MULTIPLE CHOICE. Choose the one >> /Length 16 0 g /Type /XObject endobj >> /Resources<< /BBox [0 0 534.67 16.44] /Meta696 Do 1.007 0 0 1.007 45.168 630.856 cm f 0.738 Tc 0.458 0 0 RG /ProcSet[/PDF/Text] >> /Meta1145 1163 0 R << /Meta1181 Do >> q endobj /Meta1681 Do >> /ProcSet[/PDF] /ProcSet[/PDF/Text] Q Q /ProcSet[/PDF/Text] 1 i q Q stream /Type /XObject /FormType 1 Q q /Subtype /Form /Meta778 794 0 R /Font << q ET 1 g >> /F4 24 0 R BT /Meta248 262 0 R 32 0 obj 0 G /ProcSet[/PDF/Text] stream >> /Length 69 /Matrix [1 0 0 1 0 0] q 1 i /Meta419 Do endobj (=) Tj 1 i /ProcSet[/PDF] 0 w stream Q /ProcSet[/PDF] /FormType 1 /Meta408 Do endobj >> q /Type /XObject /Resources<< << /ProcSet[/PDF] 566 0 obj 0 g >> Q /Resources<< 1 i 1.005 0 0 1.007 102.382 544.283 cm >> 0 G endobj >> /ProcSet[/PDF] q /Meta158 Do 0 g q /Subtype /TrueType 0 g /F3 12.131 Tf q >> 448 0 obj 1058 0 obj >> Q q stream BT /F4 12.131 Tf /Length 118 stream endstream endstream BT << endstream q << Q 0 G q 0 5.203 TD 0.486 Tc q endobj 1676 0 obj >> Q /Type /XObject 0.564 G /Meta264 Do /Matrix [1 0 0 1 0 0] 975 0 obj 0 g (25) Tj /Meta255 Do q /Subtype /Form /Resources<< /F3 17 0 R 0 w >> /Type /XObject /Subtype /Form endstream 1142 0 obj 41.953 5.336 TD >> /Subtype /Form >> /Subtype /Form stream /ProcSet[/PDF/Text] /ProcSet[/PDF/Text] Q 0.458 0 0 RG 0.68 Tc /Font << >> endstream /Type /XObject /Matrix [1 0 0 1 0 0] 0 g Q 1 i q 1.005 0 0 1.007 102.382 270.259 cm /BBox [0 0 549.552 16.44] /Type /XObject 1.014 0 0 1.007 251.439 560.092 cm /FormType 1 endobj /Type /XObject << q q >> /Resources<< /BBox [0 0 88.214 16.44] 1 i /Type /XObject /BBox [0 0 88.214 16.44] 1 i /BBox [0 0 15.59 16.44] endstream /ProcSet[/PDF/Text] /Type /XObject /ProcSet[/PDF/Text] /Font << q BT endobj /Meta971 Do /Subtype /Form ET /Meta82 Do (-) Tj q Q 0.838 Tc /Resources<< /Meta114 Do Q endobj Q 0 G /Meta653 Do 0 G 1.005 0 0 1.006 102.382 722.699 cm >> endstream 0 G /F3 17 0 R /Subtype /Form Q /BBox [0 0 534.67 16.44] >> /Type /XObject >> /Matrix [1 0 0 1 0 0] /Length 16 /Resources<< << q /Resources<< [(A )-15(number )-20(added to )] TJ stream >> >> 432 0 obj << 0.458 0 0 RG 0.737 w 0 G /Resources<< 1 i /Meta216 Do 828 0 obj /Font << /BBox [0 0 534.67 16.44] >> Q /ProcSet[/PDF/Text] q q endobj >> BT 1.007 0 0 1.007 45.168 746.789 cm 1.007 0 0 1.006 411.035 807.767 cm /Type /XObject 6.746 5.203 TD /Length 58 1.005 0 0 1.008 102.382 665.486 cm endstream 1 i >> /Length 16 stream /ProcSet[/PDF/Text] /ProcSet[/PDF] << q /Subtype /Form q /Type /XObject 601 0 obj /ProcSet[/PDF] /Meta193 Do BT /Resources<< /ProcSet[/PDF/Text] /Length 16 q /ProcSet[/PDF/Text] /F3 17 0 R >> endstream q /Meta983 Do 0.458 0 0 RG 0 g 0.564 G /ProcSet[/PDF/Text] /Matrix [1 0 0 1 0 0] endstream /BBox [0 0 30.642 16.44] << endobj Q (-) Tj stream stream 0 g Q 0 w << 0 G 0 g stream Q 0.737 w 1 g endobj q q 0 g q 62.164 5.203 TD /ProcSet[/PDF/Text] 0 w a. b. q /Length 12 Q Q q 1 i Q 1 i /BBox [0 0 534.67 32.881] Q Q 1 i >> BT /Length 59 /Matrix [1 0 0 1 0 0] endstream q /Meta647 663 0 R ET endstream /Resources<< /Subtype /Form /Subtype /Form 1531 0 obj q Q q 672.261 595.474 m /Resources<< /Meta87 Do /Length 12 BT /Font << /Font << 0 g 909 0 obj

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