Solving Multi-Step Equations with Like Terms

The video tutorial reviews solving multi-step equations by combining like terms. It provides two examples, demonstrating how to simplify equations into two-step problems. The first example involves combining terms on the right side, while the second example focuses on the left side. Each example is solved step-by-step, including checking solutions by substituting back into the original equation.

What is the first step in solving multi-step equations?

• Isolate the variable

• Add constants

• Combine like terms

• Divide by the coefficient

Tags

CCSS.8.EE.C.7B

In the first example, what do you get when you combine -3x and 2x?

• 1x

• 5x

• -1x

• -5x

Tags

CCSS.7.EE.A.1

After combining like terms in the first example, what is the next step?

• Divide both sides by -1

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by -1

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CCSS.7.EE.B.4A

What is the final value of x in the first example?

• -1

• 1

• -3

• 3

Tags

CCSS.8.EE.C.7B

How can you verify the solution of the first example?

• Check if both sides of the equation are equal when x is substituted

• Check if the equation is balanced without substitution

• Check if the left side is greater than the right side

• Check if the right side is greater than the left side

Tags

CCSS.7.EE.B.4A

In the second example, what do you get when you combine 8 and -2?

• 0

• -6

• 6

• 10

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CCSS.7.NS.A.1C

After combining like terms in the second example, what is the next step?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 4

• Divide both sides by 4

Tags

CCSS.7.EE.B.4A

What is the final value of n in the second example?

• 1

• 4

• 2

• 3

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CCSS.6.EE.B.6

How can you verify the solution of the second example?

• Check if both sides of the equation are equal when n is substituted

• Check if the equation is balanced without substitution

• Check if the left side is greater than the right side

• Check if the right side is greater than the left side

Tags

CCSS.7.EE.B.4A

What is the purpose of combining like terms in multi-step equations?

• To eliminate constants

• To simplify the equation

• To make the equation more complex

• To isolate the variable

Tags

CCSS.8.EE.C.7B