Solving Linear Equations Concepts

The video tutorial explains how to solve a linear equation with decimals by first clearing the decimals through multiplication. It then guides through simplifying the equation by distributing and combining like terms, isolating the variable, and solving for it. Finally, the solution is verified by substituting it back into the original equation to ensure correctness.

What is the first step in solving a linear equation with decimals?

• Add a constant to both sides

• Divide by a constant

• Isolate the variable

• Multiply by a fraction

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CCSS.6.EE.B.7

Why might you multiply both sides of an equation by 100?

• To add more variables

• To change the equation type

• To simplify fractions

• To clear decimals

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CCSS.HSA.REI.A.1

What operation is performed after multiplying both sides by 100?

• Adding constants

• Distributing the multiplier

• Subtracting variables

• Dividing by 10

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CCSS.6.EE.A.3

What is the result of distributing 15 in the equation?

• 15x + 50

• 15x - 8x

• 15x + 10

• 15x + 150

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CCSS.7.EE.A.1

How do you combine like terms in the equation?

• Multiply the constants

• Add the coefficients of x

• Divide the terms

• Subtract the variables

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CCSS.7.EE.B.4A

What is the next step after combining like terms?

• Add a constant to both sides

• Divide by a constant

• Subtract to isolate the variable term

• Multiply by a fraction

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CCSS.7.EE.B.4A

What is the final step to solve for x?

• Subtract 7

• Add a constant

• Multiply by 7

• Divide by 7

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CCSS.7.EE.B.4A

What is the solution to the equation after solving for x?

• x = -50

• x = 100

• x = 50

• x = 0

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CCSS.6.EE.B.5

How do you verify the solution of the equation?

• By dividing both sides by 2

• By multiplying both sides by 10

• By adding a constant to both sides

• By substituting the solution back into the original equation

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CCSS.8.EE.C.7B

What should the left side equal after substituting the solution back into the original equation?

• 0

• 1

• 3

• 2

Tags

CCSS.8.EE.C.7B