Combining Like Terms and Solving Equations

The video tutorial explains how to solve two-step equations by first identifying and combining like terms on both sides of the equation. It then demonstrates using the PEMDAS rule in reverse to isolate the variable and solve the equation, resulting in the solution C = -1.

What is the first step in solving two-step equations by combining like terms?

• Combine like terms immediately

• Perform PEMDAS

• Draw a line down the equal sign

• Identify the variable

Tags

CCSS.7.EE.B.4A

Which terms are combined on the left side of the equation?

• 12 and -6c

• 8c and -6c

• 14 and 12

• 8c and 14

Tags

CCSS.7.EE.A.1

What operation is performed to simplify the equation after combining like terms?

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.8.EE.C.7B

How do you handle the term '14' on the left side of the equation?

• Add it to '2c'

• Leave it as is

• Subtract it from '8c'

• Combine it with '12'

Tags

CCSS.7.EE.B.4A

What is the result of subtracting 14 from both sides of the equation?

• c = 1

• 2c = -2

• c = 0

• 2c = 2

Tags

CCSS.6.EE.B.7

What does PEMDAS stand for in the context of solving equations?

• Please Excuse My Dear Aunt Sally

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Process Every Math Detail At School

• None of the above

What is the correct sequence of operations to solve the equation after combining like terms?

• Subtract, Multiply, Divide

• Add, Subtract, Multiply

• Subtract, Divide

• Divide, Subtract

Tags

CCSS.HSA.REI.A.1

What is the final value of 'c' after solving the equation?

• 2

• -1

• 0

• 1

Tags

CCSS.7.EE.B.4A

Which operation is used to isolate the variable 'c' in the final steps?

• Addition

• Subtraction

• Division

• Multiplication

Tags

CCSS.HSA.REI.A.1