Solving Linear Equations and Verification

The video tutorial explains how to solve the equation 3x + 3 - 4 = -2X - 8 by isolating the variable X. It begins with simplifying the equation, then moves on to isolating X on one side by adding or subtracting terms. The solution is verified by substituting the value of X back into the original equation to ensure both sides are equal. The tutorial emphasizes maintaining equality by performing the same operations on both sides of the equation.

What is the first step in solving the equation 3x + 3 - 4 = -2x - 8?

• Combine like terms on both sides

• Add 4 to both sides

• Subtract 3 from both sides

• Multiply both sides by 2

Tags

CCSS.7.EE.A.1

After simplifying the left side of the equation, what does it become?

• 3x - 4

• 3x + 4

• 3x - 1

• 3x + 1

Tags

CCSS.7.EE.B.4A

What operation is used to eliminate -2x from the right side of the equation?

• Subtract 2x from both sides

• Multiply both sides by 2

• Divide both sides by 2

• Add 2x to both sides

Tags

CCSS.7.EE.B.4A

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

• 5x + 1 = -8

• 5x - 1 = -8

• 5x - 1 = 8

• 5x + 1 = 8

Tags

CCSS.7.EE.B.4A

How do you isolate the term 5x in the equation 5x - 1 = 8?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 1 from both sides

• Add 1 to both sides

Tags

CCSS.7.EE.B.4A

What is the final value of x after solving the equation?

• -5/7

• 5/7

• -7/5

• 7/5

Tags

CCSS.8.EE.C.7B

What is the purpose of substituting -7/5 back into the original equation?

• To simplify the equation further

• To verify the solution is correct

• To eliminate fractions

• To find a new solution

Tags

CCSS.HSA.REI.A.1

What is the result of substituting -7/5 into the left side of the original equation?

• -5.2

• 26/5

• 5.2

• -26/5

What is the result of substituting -7/5 into the right side of the original equation?

• 5.2

• -5.2

• 26/5

• -26/5

Tags

CCSS.8.EE.C.7B

What does the verification step confirm about the solution?

• The solution is correct

• The solution is incorrect

• The equation needs further simplification

• The equation has no solution

Tags

CCSS.8.EE.C.7B