Solving Multi-Step Linear Equations with Parentheses

The video tutorial explains how to solve an equation by isolating the variable. It begins with simplifying both sides of the equation by distributing and combining like terms. The next step involves isolating the variable by adding or subtracting terms. Finally, the solution is found by dividing both sides of the equation. The solution is verified by substituting it back into the original equation to ensure both sides are equal.

What is the first step in solving an equation?

• Combining like terms

• Isolating the variable

• Distributing constants

• Simplifying both sides

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CCSS.7.EE.B.4A

How do you clear parentheses in an equation?

• By adding constants

• By dividing constants

• By subtracting constants

• By distributing constants

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CCSS.7.EE.A.1

What is the result of distributing 8 in the expression 8(x - 5)?

• 8x - 5

• 8x - 40

• 8x + 40

• 8x + 5

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CCSS.6.EE.A.3

What do you get when you combine -40 and -4?

• -44

• -36

• -46

• -34

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CCSS.7.NS.A.1C

What is the next step after simplifying both sides of the equation?

• Adding or subtracting to isolate the variable

• Combining like terms

• Dividing both sides

• Multiplying both sides

Tags

CCSS.7.EE.B.4A

What is the result of subtracting 28x from both sides of the equation 8x - 44 = 28x - 204?

• -20x - 44 = -204

• 20x - 44 = -204

• -20x + 44 = -204

• 20x + 44 = -204

How do you isolate the variable term in the equation -20x - 44 = -204?

• By subtracting 44 from both sides

• By adding 44 to both sides

• By dividing by 44

• By multiplying by 44

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CCSS.7.EE.B.4A

What is the final step to solve for x in the equation -20x = -160?

• Dividing both sides by -20

• Multiplying both sides by -20

• Adding 20 to both sides

• Subtracting 20 from both sides

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CCSS.6.EE.B.7

What is the solution to the equation -20x = -160?

• x = 8

• x = -160

• x = -8

• x = 160

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CCSS.6.EE.B.7

How do you verify the solution x = 8 in the original equation?

• By substituting -8 for x and checking if both sides are equal

• By substituting 0 for x and checking if both sides are equal

• By substituting 8 for x and checking if both sides are equal

• By substituting 1 for x and checking if both sides are equal

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CCSS.8.EE.C.7B