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NAME Maddie Case
DATE 4/22/24 PERIOD

7^("th ")
4-5
Practice
Student Edition
Pages 165-170
Solving Multi-Step Equations
Solve each equation. Check your solution.


8z-6=18

-4s+1=9

12=-3k+3

5-2f=19

-31=-6w-7

6+7r=13

-8=8-2c

0.4 u+1=6.6

3b-2.5=5

4.7+2g=7.3

-2.1 q-1=-1

-2=(t)/(4)-3

(p)/(9)+4=7

7-(m)/(2)=0

8=5-(c)/(6)

(y-5)/(3)=2

1=(c+1)/(-8)

(-4a+4)/(5)=-4

NAME Maddie Case\newlineDATE 44/2222/2424 PERIOD\newline7th  7^{\text {th }} \newline445-5\newlinePractice\newlineStudent Edition\newlinePages 165165170-170\newlineSolving Multi-Step Equations\newlineSolve each equation. Check your solution.\newline11. 8z6=18 8 z-6=18 \newline22. 4s+1=9 -4 s+1=9 \newline33. 12=3k+3 12=-3 k+3 \newline44. 52f=19 5-2 f=19 \newline55. 31=6w7 -31=-6 w-7 \newline66. 6+7r=13 6+7 r=13 \newline77. 8=82c -8=8-2 c \newline88. 0.4u+1=6.6 0.4 u+1=6.6 \newline99. 3b2.5=5 3 b-2.5=5 \newline1010. 8z6=18 8 z-6=18 00\newline1111. 8z6=18 8 z-6=18 11\newline1212. 8z6=18 8 z-6=18 22\newline1313. 8z6=18 8 z-6=18 33\newline1414. 8z6=18 8 z-6=18 44\newline1515. 8z6=18 8 z-6=18 55\newline1616. 8z6=18 8 z-6=18 66\newline1717. 8z6=18 8 z-6=18 77\newline1818. 8z6=18 8 z-6=18 88

Full solution

Q. NAME Maddie Case\newlineDATE 44/2222/2424 PERIOD\newline7th  7^{\text {th }} \newline445-5\newlinePractice\newlineStudent Edition\newlinePages 165165170-170\newlineSolving Multi-Step Equations\newlineSolve each equation. Check your solution.\newline11. 8z6=18 8 z-6=18 \newline22. 4s+1=9 -4 s+1=9 \newline33. 12=3k+3 12=-3 k+3 \newline44. 52f=19 5-2 f=19 \newline55. 31=6w7 -31=-6 w-7 \newline66. 6+7r=13 6+7 r=13 \newline77. 8=82c -8=8-2 c \newline88. 0.4u+1=6.6 0.4 u+1=6.6 \newline99. 3b2.5=5 3 b-2.5=5 \newline1010. 8z6=18 8 z-6=18 00\newline1111. 8z6=18 8 z-6=18 11\newline1212. 8z6=18 8 z-6=18 22\newline1313. 8z6=18 8 z-6=18 33\newline1414. 8z6=18 8 z-6=18 44\newline1515. 8z6=18 8 z-6=18 55\newline1616. 8z6=18 8 z-6=18 66\newline1717. 8z6=18 8 z-6=18 77\newline1818. 8z6=18 8 z-6=18 88
  1. Solve first equation: Step Title: Solve the first equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 8z6=188z - 6 = 18; Add 66 to both sides: 8z=248z = 24; Divide by 88: z=3z = 3\newlineMath Error Check:
  2. Solve second equation: Step Title: Solve the second equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 4s+1=9-4s + 1 = 9; Subtract 11 from both sides: 4s=8-4s = 8; Divide by 4-4: s=2s = -2\newlineMath Error Check:
  3. Solve third equation: Step Title: Solve the third equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 12=3k+312 = -3k + 3; Subtract 33 from both sides: 9=3k9 = -3k; Divide by 3-3: k=3k = -3\newlineMath Error Check:
  4. Solve fourth equation: Step Title: Solve the fourth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 52f=195 - 2f = 19; Subtract 55 from both sides: 2f=14-2f = 14; Divide by 2-2: f=7f = -7\newlineMath Error Check:
  5. Solve fifth equation: Step Title: Solve the fifth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 31=6w7-31 = -6w - 7; Add 77 to both sides: 24=6w-24 = -6w; Divide by 6-6: w=4w = 4\newlineMath Error Check:
  6. Solve sixth equation: Step Title: Solve the sixth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 6+7r=136 + 7r = 13; Subtract 66 from both sides: 7r=77r = 7; Divide by 77: r=1r = 1\newlineMath Error Check:
  7. Solve seventh equation: Step Title: Solve the seventh equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 8=82c-8 = 8 - 2c; Subtract 88 from both sides: 16=2c-16 = -2c; Divide by 2-2: c=8c = 8\newlineMath Error Check:
  8. Solve eighth equation: Step Title: Solve the eighth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 0.4u+1=6.60.4u + 1 = 6.6; Subtract 11 from both sides: 0.4u=5.60.4u = 5.6; Divide by 0.40.4: u=14u = 14\newlineMath Error Check:
  9. Solve ninth equation: Step Title: Solve the ninth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 3b2.5=53b - 2.5 = 5; Add 2.52.5 to both sides: 3b=7.53b = 7.5; Divide by 33: b=2.5b = 2.5\newlineMath Error Check:
  10. Solve tenth equation: Step Title: Solve the tenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 4.7+2g=7.34.7 + 2g = 7.3; Subtract 4.74.7 from both sides: 2g=2.62g = 2.6; Divide by 22: g=1.3g = 1.3\newlineMath Error Check:
  11. Solve eleventh equation: Step Title: Solve the eleventh equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 2.1q1=1-2.1q - 1 = -1; Add 11 to both sides: 2.1q=0-2.1q = 0; Divide by 2.1-2.1: q=0q = 0\newlineMath Error Check:
  12. Solve twelfth equation: Step Title: Solve the twelfth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 2=t43-2 = \frac{t}{4} - 3; Add 33 to both sides: 1=t41 = \frac{t}{4}; Multiply by 44: t=4t = 4\newlineMath Error Check:
  13. Solve thirteenth equation: Step Title: Solve the thirteenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: p9+4=7\frac{p}{9} + 4 = 7; Subtract 44 from both sides: p9=3\frac{p}{9} = 3; Multiply by 99: p=27p = 27\newlineMath Error Check:
  14. Solve fourteenth equation: Step Title: Solve the fourteenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 7m2=07 - \frac{m}{2} = 0; Add m2\frac{m}{2} to both sides: 7=m27 = \frac{m}{2}; Multiply by 22: m=14m = 14\newlineMath Error Check:
  15. Solve fifteenth equation: Step Title: Solve the fifteenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 8=5c68 = 5 - \frac{c}{6}; Subtract 55 from both sides: 3=c63 = -\frac{c}{6}; Multiply by 6-6: c=18c = -18\newlineMath Error Check:
  16. Solve sixteenth equation: Step Title: Solve the sixteenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: (y5)/3=2(y - 5)/3 = 2; Multiply by 33: y5=6y - 5 = 6; Add 55: y=11y = 11\newlineMath Error Check:
  17. Solve seventeenth equation: Step Title: Solve the seventeenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: 1=(c+1)81 = \frac{(c + 1)}{-8}; Multiply by 8-8: 8=c+1-8 = c + 1; Subtract 11: c=9c = -9\newlineMath Error Check:
  18. Solve eighteenth equation: Step Title: Solve the eighteenth equation\newlineReasoning: Isolate the variable on one side by adding or subtracting.\newlineCalculation: (4a+4)/5=4(-4a + 4)/5 = -4; Multiply by 55: 4a+4=20-4a + 4 = -20; Subtract 44: 4a=24-4a = -24; Divide by 4-4: a=6a = 6\newlineMath Error Check: