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# 324 1.3 solvinglinearequations

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### 324 1.3 solvinglinearequations

1. 1. Notes Over 1.3It’s time to stop“daydreaming”and start applying“mental math”
2. 2. 231 −−= x.Notes Over 1.3Variable on One SideVariable on One SideSolve the equation.2+2+x−6182 +=− y.6− 6−24−593 =− z.=55−=x y=9− 9−z− 4−=4=z
3. 3. 12664 −=+ x.Notes Over 1.3Variable on One SideVariable on One SideSolve the equation.6−6−18−1525 =−x.5+5+x2=x63−=x6=6 6 2 23=x236 =−x. (3− ) 3−6−=x
4. 4. 1643157 +−=− aa.Notes Over 1.3Variable on Both SideVariable on Both SideSolve the equation.a4+a4+1=a15− 15−624638 +=+− mm.m3+ m3+m27=06−6−27270=m
5. 5. 37649 +=− ss.Notes Over 1.3Variable on Both SideVariable on Both SideSolve the equation.s4− s4−s3=−93−3−333−=s
6. 6. ttt 2101810 −=+−.Notes Over 1.3Variable on Both SideVariable on Both SideSolve the equation.t2+t2+9=t91− 1−9 91=ttt 21017 −=+
7. 7. 72411 +=− xx.Notes Over 1.3Variable on Both SideVariable on Both SideSolve the equation.x− x−x=−117−7−xx 1624412 +=.x16−x16−24=− x1212− 12−2−=x
8. 8. ( ) ( )221235.13 −−=+− xxNotes Over 1.3Using the Distributive PropertyUsing the Distributive PropertySolve the equation.x5x2+x2+7=x73+ 3+7 71=x1215+− x2−= 4+4235 +−=− xx
9. 9. ( ) ( ) 7132414 =++−− kk.Notes Over 1.3Using the Distributive PropertyUsing the Distributive PropertySolve the equation.k4−4−=− k11− 11−4=k8+ k3+ 73 =+k− 711=+
10. 10. ( )12215 +=− xx.Notes Over 1.3Using the Distributive PropertyUsing the Distributive PropertySolve the equation.x2−2=− x4x2−x2−x2= 2+4− 4−21−=x
11. 11. ( )529316 −=− xx.Notes Over 1.3Using the Distributive PropertyUsing the Distributive PropertySolve the equation.93 −x1−=xx2−x2−x2= 10−9+ 9+
12. 12. ( )2532617 −= nn.Notes Over 1.3Solving an Equation with FractionsSolving an Equation with FractionsSolve the equation.n10−n10−4−=n88 821−=n=n18 n10 4−
13. 13. 414318 =+x.Notes Over 1.3Solving an Equation with FractionsSolving an Equation with FractionsSolve the equation.4− 4−12=x33 34=xx3 =+ 4 16(4 )4(4
14. 14. xx 4322119 =−.Notes Over 1.3Solving an Equation with FractionsSolving an Equation with FractionsSolve the equation.x3− x3−x21=− 42121214−=x3=− 4 x24(6 )6(6x32
15. 15. 1325320 += xx.Notes Over 1.3Solving an Equation with FractionsSolving an Equation with FractionsSolve the equation.x10−x10−15=− x15−=x3x10= 15+(15 )15(15x95
16. 16. Notes Over 1.3