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>> /ProcSet[/PDF/Text] 1 i /Resources<< 397 0 obj /Matrix [1 0 0 1 0 0] Q /Length 16 << /Length 69 stream endobj 1 i >> /BBox [0 0 88.214 16.44] endstream /Length 57 >> 0.458 0 0 RG /FormType 1 /FormType 1 /ProcSet[/PDF/Text] 0.51 Tc >> /Resources<< /Matrix [1 0 0 1 0 0] /FormType 1 1.005 0 0 1.006 45.168 879.284 cm 1 i 0 g q q /Length 73 >> 0 g Q /Matrix [1 0 0 1 0 0] /ProcSet[/PDF/Text] 0.737 w /Subtype /Form 32.201 5.203 TD 0 G stream /Matrix [1 0 0 1 0 0] Q /Subtype /Form BT q /Meta1406 Do Q /Subtype /Form >> /Resources<< /FormType 1 >> 0 5.336 TD stream Q endstream 1.014 0 0 1.007 531.485 560.092 cm Q stream q /Subtype /Form ET Q 0.68 Tc q >> >> /Type /XObject 1.007 0 0 1.007 130.989 130.236 cm 722.699 469.754 l /Subtype /Form /FormType 1 /Meta707 723 0 R >> /F3 17 0 R Q endstream stream q Q /Font << q /Length 70 /Meta1207 Do /Meta74 88 0 R >> /Meta1119 1137 0 R endobj >> /ProcSet[/PDF/Text] q >> 0.458 0 0 RG 0.737 w q 1662 0 obj /Meta1077 1095 0 R /Font << 0 G /ProcSet[/PDF] stream 1 i /Matrix [1 0 0 1 0 0] /ProcSet[/PDF/Text] /Meta1484 Do /F3 17 0 R /FormType 1 /F3 12.131 Tf ET Q endobj /F3 12.131 Tf 0.388 Tc >> endobj /Matrix [1 0 0 1 0 0] /Matrix [1 0 0 1 0 0] /Font << Q > > @ = { bjbjBrBr h X X d F ~ ~ ~ ~ Y Y Y dF fF fF fF fF fF fF $ H AK | F Y Y Y Y Y F ~ ~ F S S S Y ~ ~ dF S Y dF S S @ D ~ # o A " PF F 0 F A K ] K D D K D @ Y Y S Y Y Y Y Y F F S Y Y Y F Y Y Y Y K Y Y Y Y Y Y Y Y Y X x : CC MATH I STANDARDS UNIT 3
4.5 SOLVING MULTI-STEP EQUATIONS: PART 1
WARM UP: Solve for the given variable. q /Resources<< >> /Resources<< Q /BBox [0 0 88.214 16.44] << >> /Matrix [1 0 0 1 0 0] q endobj 0 G /Matrix [1 0 0 1 0 0] Q q endstream 0 g /Meta131 Do endobj /Type /XObject /ProcSet[/PDF/Text] -0.047 Tw >> /ProcSet[/PDF/Text] /ProcSet[/PDF] >> Q /Matrix [1 0 0 1 0 0] BT 1 i >> >> ET q /Subtype /Form q Q /Length 16 stream >> Q 1 g << /F3 17 0 R 0 g ET endstream q 86.881 14.173 l 0 w >> 1.005 0 0 1.015 45.168 53.449 cm Q 0 G 0 g /F3 17 0 R /Length 16 endstream 844 0 obj 1 i 0 g BT /F3 12.131 Tf q 549.694 0 0 16.469 0 -0.0283 cm >> Q ET /Type /XObject /ProcSet[/PDF/Text] /Resources<< /Type /XObject endstream q Q 0 G 244 0 obj /Font << >> Q Q 0.68 Tc 722.699 199.495 l endstream 1 i q /BBox [0 0 88.214 16.44] 1.007 0 0 1.007 271.012 404.26 cm q /Matrix [1 0 0 1 0 0] 1.014 0 0 1.007 391.462 560.092 cm /Meta1348 Do q q /ProcSet[/PDF] 0 w >> 1 i q /Meta145 159 0 R (47) Tj /Meta711 727 0 R q /Font << /ProcSet[/PDF/Text] 0 g /ProcSet[/PDF/Text] 0 g endstream /Length 78 /Meta168 182 0 R Q Q /F3 17 0 R /Matrix [1 0 0 1 0 0] Q Q 0 g /F4 12.131 Tf /F3 17 0 R stream /Font << q << /I0 Do (D\)) Tj /F3 17 0 R >> /Meta246 260 0 R endstream 1.007 0 0 1.007 411.035 779.16 cm endstream q 344 0 obj 1.007 0 0 1.007 67.753 737.003 cm /Type /XObject Q endobj /Meta1333 1351 0 R 1.005 0 0 1.006 102.382 852.936 cm /Resources<< endobj q q /ProcSet[/PDF/Text] /Meta806 Do 959 0 obj /BBox [0 0 30.642 16.44] Q 0 G /Meta117 Do q /Resources<< 1 i endobj /Matrix [1 0 0 1 0 0] endstream /Meta100 114 0 R 1.007 0 0 1.007 130.989 773.891 cm /Subtype /Form /Subtype /Form Q q >> /Meta65 79 0 R /Matrix [1 0 0 1 0 0] /FormType 1 q /ProcSet[/PDF] /BBox [0 0 88.214 16.44] endobj Q /F3 17 0 R Q /FormType 1 stream >> 1672 0 obj /Subtype /TrueType endobj q 0 g /Length 59 0 g Q Number of solutions to system of equations review /Length 59 Q endobj /Length 60 526 0 obj /FormType 1 /Matrix [1 0 0 1 0 0] Q q /Resources<< >> >> /Meta173 187 0 R 1.007 0 0 1.007 130.989 319.945 cm /Meta351 Do /XObject << q 1.007 0 0 1.007 45.168 813.037 cm %%EOF
(-) Tj Q 1.007 0 0 1.007 130.989 404.26 cm 29.196 5.203 TD /BBox [0 0 534.67 16.44] /Length 69 /ProcSet[/PDF/Text] /FormType 1 >> q 61 0 obj 0 G << /Matrix [1 0 0 1 0 0] >> (=) Tj /Meta9 20 0 R endobj /Subtype /Form endobj BT /Subtype /Form S /Resources<< << /Type /XObject Q endstream 273 0 obj /Font << 0 G 886 0 obj /Meta1114 1132 0 R q q /Matrix [1 0 0 1 0 0] >> /Type /XObject /Meta852 868 0 R /Length 68 863 0 obj /Font << q /Length 67 endstream /Type /XObject /Meta510 526 0 R /Font << Q q q endstream << [(1)-25(9\))] TJ /Matrix [1 0 0 1 0 0] /Resources<< 1 i 1376 0 obj << /BBox [0 0 673.937 14.853] 1239 0 obj (D) Tj /Meta53 67 0 R 0.737 w q 0.564 G /ProcSet[/PDF/Text] 1 i endstream 0 G >> /FormType 1 /Subtype /Form 0 g >> 0 g endobj q q Q q q /Meta7 Do 0 g 1325 0 obj q endobj q ET stream /Resources<< /F3 12.131 Tf /ProcSet[/PDF/Text] endobj 0 G endobj /F4 24 0 R q 1.502 24.649 TD q Q Q >> ET 0 g /Resources<< 494 0 obj endstream 6.746 5.203 TD 0.397 Tc >> << 0 g /Matrix [1 0 0 1 0 0] Q 549.694 0 0 16.469 0 -0.0283 cm >> 1 i Q stream stream 0.564 G endobj endstream /Type /XObject 1 i /Font << 0 g 21.713 24.649 TD /Meta1000 Do /Subtype /Form /Meta481 497 0 R BT 0.458 0 0 RG /F3 17 0 R Q /Font << 1 i 1524 0 obj /Type /XObject << stream /Matrix [1 0 0 1 0 0] Q /Meta1333 Do >> /Meta1570 1590 0 R /ProcSet[/PDF] Q 672.261 522.451 m endobj 0 G Q 1458 0 obj q Q endobj /Meta768 784 0 R endobj Q 1.007 0 0 1.006 271.012 307.147 cm /ProcSet[/PDF/Text] >> Q BT q /Meta1062 Do /Length 16 /F3 17 0 R /BBox [0 0 534.67 16.44] Q endstream /Length 80 /BBox [0 0 534.67 35.886] /Matrix [1 0 0 1 0 0] /BBox [0 0 30.642 16.44] 0.458 0 0 RG /Type /XObject >> Q 37 0 obj /Type /XObject Q 0.564 G Q 0.369 Tc 1 g q 15.731 5.336 TD 1.007 0 0 1.006 271.012 486.316 cm 1220 0 obj (=) Tj /Matrix [1 0 0 1 0 0] /Resources<< 0 w 1 g /Subtype /Form /Matrix [1 0 0 1 0 0] /Type /XObject /Type /XObject 0 G >> /ProcSet[/PDF] ET 0 g stream /F3 12.131 Tf endobj >> 13.464 5.203 TD /Meta691 Do /Type /XObject Q q /Meta1305 1323 0 R /Matrix [1 0 0 1 0 0] >> 0 G Q 1.007 0 0 1.007 45.168 630.856 cm /BBox [0 0 673.937 14.853] stream q q 1 i /Matrix [1 0 0 1 0 0] /F3 12.131 Tf 1.014 0 0 1.007 391.462 130.236 cm /FormType 1 /Type /XObject 1 i /Meta1281 1299 0 R /Subtype /Form How many solutions does a system of linear equations have if there are at least two? 0 w /Subtype /Form 1.005 0 0 1.007 102.382 449.429 cm /Resources<< 0.737 w Q /Type /XObject /BBox [0 0 88.214 35.886] >> << 1 i << endobj 0.564 G q q /BBox [0 0 88.214 16.44] Q /Type /XObject /Matrix [1 0 0 1 0 0] q endstream 1 g endobj Q 1418 0 obj Q /Length 16 endstream /F3 12.131 Tf /Matrix [1 0 0 1 0 0] Q q Q endobj ET >> >> Q 1109 0 obj ET >> 0 g 1 i q /Matrix [1 0 0 1 0 0] endobj /F3 17 0 R >> 65.168 5.203 TD 0.48 Tc 1.007 0 0 1.007 271.012 893.588 cm /Matrix [1 0 0 1 0 0] BT /Subtype /Form BT 0.175 Tc stream /Meta1460 Do 0 w endstream 549.694 0 0 16.469 0 -0.0283 cm q 0.737 w Q q (40) Tj >> 1089 0 obj /Resources<< 0 5.203 TD /F3 12.131 Tf 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534.67 16.44] q Q >> q stream /BBox [0 0 88.214 16.44] Q >> stream 0.564 G /Meta677 693 0 R /Type /XObject 0 G BT >> /Meta1126 Do /F3 12.131 Tf /BBox [0 0 30.642 16.44] stream /Meta139 153 0 R /Meta1392 1410 0 R BT /ProcSet[/PDF/Text] 116.843 5.203 TD (B\)) Tj Q 0 G 1 i /Meta1032 1048 0 R ET /Meta1169 Do 1709 0 obj stream /FormType 1 Q /F3 12.131 Tf 1112 0 obj endobj /Type /XObject q /F3 12.131 Tf >> /Resources<< stream /Type /XObject 0 G /Meta452 Do >> Q /Meta1064 Do /Meta1630 Do /Length 57 endobj /Resources<< << /Type /XObject endstream q /Length 54 endobj /ProcSet[/PDF/Text] /FormType 1 1 i Q /Meta1185 1203 0 R /Type /XObject << /Meta1052 Do 0.68 Tc /Type /XObject /Matrix [1 0 0 1 0 0] /Resources<< /Matrix [1 0 0 1 0 0] q q /Matrix [1 0 0 1 0 0] endobj ET endstream 9.723 5.336 TD Q Q /BBox [0 0 88.214 35.886] >> >> >> Q Q /F3 12.131 Tf 0 g BT Q /Meta1140 1158 0 R /Length 59 q 0.458 0 0 RG >> q /Meta1330 1348 0 R q /F3 17 0 R /Meta1317 1335 0 R Q /ProcSet[/PDF] /Length 69 1.007 0 0 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