Solving Linear Equations Concepts

This video tutorial by Mr. J covers solving one-step and two-step equations. It begins with an introduction to the concept of isolating variables using inverse operations. The tutorial then provides detailed examples of solving one-step equations using addition, subtraction, multiplication, and division. Finally, it explains how to solve two-step equations by reversing the order of operations. Each example includes a step-by-step process and a verification step to ensure the solution is correct.

What is the primary goal when solving equations?

• To multiply all terms by two

• To eliminate all numbers

• To isolate the variable

• To make both sides of the equation equal zero

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If you have the equation x - 9 = 28, what operation would you use to solve for x?

• Subtract 9 from both sides

• Add 9 to both sides

• Multiply both sides by 9

• Divide both sides by 9

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CCSS.7.EE.B.3

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In the equation a + 14 = 33, what is the value of a?

• 47

• 14

• 19

• 33

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What is the inverse operation of division?

• Division

• Multiplication

• Subtraction

• Addition

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How would you solve the equation 11x = 77?

• Divide both sides by 11

• Multiply both sides by 11

• Subtract 11 from both sides

• Add 11 to both sides

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In a two-step equation like 3x + 10 = 28, which operation should you undo first?

• Multiplication

• Division

• Addition

• Subtraction

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What is the solution to the equation 9y - 12 = 15?

• y = 9

• y = 7

• y = 5

• y = 3

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In the equation D / 8 + 32 = 41, what is the first step to isolate D?

• Multiply both sides by 8

• Subtract 32 from both sides

• Add 32 to both sides

• Divide both sides by 8

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CCSS.7.EE.B.3

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What is the value of H in the equation 2 = h / 5 - 9?

• H = 45

• H = 55

• H = 65

• H = 75

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Why is it important to check your solution after solving an equation?

• To make sure all numbers are positive

• To verify the solution satisfies the original equation

• To confirm the equation is balanced

• To ensure the variable is on the left side

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CCSS.7.EE.A.2

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