Solving Linear Equations and Operations

This video tutorial covers solving two-step equations with decimals. It begins with an introduction to the basic steps of isolating the variable in a linear equation. Two examples are provided: the first involves solving 0.3X - 2.16 = 9.9, and the second involves solving X/2.1 + 4.93 = 10.45. Each example is broken down into detailed steps, including addition, subtraction, multiplication, and division, with a focus on maintaining equality and verifying solutions. The lesson concludes with a summary of the key points covered.

What is the primary goal when solving a linear equation?

• To find the value of the variable

• To eliminate all numbers

• To make both sides of the equation zero

• To add more variables

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CCSS.7.EE.B.4A

In the equation 0.3X - 2.16 = 9.9, what is the first step to isolate the variable?

• Subtract 2.16 from both sides

• Multiply both sides by 0.3

• Divide both sides by 0.3

• Add 2.16 to both sides

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CCSS.HSA.REI.A.1

After adding 2.16 to both sides in the equation 0.3X - 2.16 = 9.9, what is the next step?

• Add 0.3 to both sides

• Subtract 0.3 from both sides

• Multiply both sides by 0.3

• Divide both sides by 0.3

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CCSS.6.NS.B.3

What is the result of dividing 12.06 by 0.3 in the first example?

• 40.2

• 0.402

• 4.02

• 402

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CCSS.HSA.REI.A.1

In the equation X/2.1 + 4.93 = 10.45, what operation should be performed first to isolate the variable?

• Multiply both sides by 2.1

• Subtract 4.93 from both sides

• Add 4.93 to both sides

• Divide both sides by 2.1

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CCSS.HSA.REI.A.1

After subtracting 4.93 from both sides in the second example, what is the next step?

• Multiply both sides by 2.1

• Divide both sides by 2.1

• Subtract 2.1 from both sides

• Add 2.1 to both sides

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CCSS.6.NS.B.3

What is the product of 5.52 and 2.1 in the second example?

• 0.11592

• 115.92

• 1.1592

• 11.592

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CCSS.5.NBT.B.7

How many decimal places should the product of 5.52 and 2.1 have?

• One

• Two

• Three

• Four

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CCSS.8.EE.C.7B

What is the final value of X in the second example equation?

• 2.1

• 4.93

• 10.45

• 11.592

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CCSS.HSA.REI.A.1

What operation is used to verify the solution of the equation?

• Division

• Multiplication

• Subtraction

• Addition

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CCSS.HSA.REI.A.1