Solving Linear Equations Steps

The video tutorial explains how to solve the equation 7X-2=3X+18 by isolating the variable X. It involves multiple steps, including subtracting 3X from both sides, adding 2 to both sides, and dividing by 4 to find the solution X=5. The solution is verified by substituting X back into the original equation to ensure both sides are equal.

What is the first step in solving the equation 7X - 2 = 3X + 18?

• Multiply both sides by 2

• Add 2 to both sides

• Divide both sides by 7

• Subtract 3X from both sides

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CCSS.7.EE.B.4A

Why do we subtract 3X from both sides of the equation?

• To eliminate the constant term

• To simplify the equation

• To isolate the variable term on one side

• To add fractions

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CCSS.HSA.REI.A.1

After subtracting 3X from both sides, what does the left side of the equation become?

• 7X - 2

• 4X - 2

• 0

• 3X + 18

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CCSS.HSA.REI.A.1

What operation is performed to eliminate the -2 on the left side of the equation?

• Divide by 2

• Subtract 2

• Add 2

• Multiply by 2

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CCSS.HSA.REI.A.1

What is the result of adding 2 to both sides of the equation?

• 4X = 22

• 4X = 18

• 4X = 20

• 4X = 16

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CCSS.6.EE.B.7

What is the next step after obtaining 4X = 20?

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 4

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CCSS.6.EE.B.7

What is the solution for X after dividing both sides by 4?

• X = 4

• X = 5

• X = 7

• X = 6

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CCSS.6.EE.B.5

How do we verify the solution X = 5?

• By substituting X = 5 into the original equation

• By multiplying both sides by 5

• By dividing both sides by 5

• By adding 5 to both sides

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CCSS.6.EE.A.2C

What is the result of substituting X = 5 into the left side of the original equation?

• 15 + 18

• 33

• 35 - 2

• 20

What does the equation become after substituting X = 5 into both sides?

• 33 = 33

• 33 = 35

• 30 = 30

• 35 = 33