Mastering 2-Step Equations and Inverse Operations

The video tutorial reviews solving equations, focusing on using the distributive property, combining like terms, and inverse operations. It explains the order of operations (PIMDAS) and reverse operations (SADMEP) for solving equations with variables on both sides and two-step equations. The tutorial emphasizes identifying variable terms and constants, using additive and multiplicative inverses, and checking work for accuracy. It includes examples of solving equations with variables on both sides and concludes with a final example to reinforce the concepts.

What is the first step in solving an equation?

• Using the distributive property

• Adding constants

• Combining like terms

• Applying inverse operations

What is the order of operations?

• Parentheses, Exponents, Multiply, Divide, Add, Subtract

• Multiply, Divide, Add, Subtract, Parentheses, Exponents

• Add, Subtract, Multiply, Divide, Parentheses, Exponents

• Exponents, Parentheses, Multiply, Divide, Add, Subtract

What is the variable term in the equation B/2 = 22 - 2?

• B

• B/2

• -2

• 22

What is the constant on the right side of the equation B/2 = 22 - 2?

• 22

• B

• -2

• B/2

What should you do after solving an equation to ensure your solution is correct?

• Check your work by substituting the value back into the equation

• Add the constants again

• Rewrite the equation

• Multiply both sides by the reciprocal

What is the result of 22 - 2?

• 18

• 24

• 20

• 22

What is the variable term in the equation C/7 = -29 + 31?

• 31

• -29

• C

• C/7

What is the commutative property of addition?

• Changing the order of addition does not change the sum

• Multiplying a number by one does not change the number

• Changing the order of multiplication does not change the product

• Adding zero to a number does not change the number

What is the variable term in the equation -12B = -1 + 47?

• -12B

• 47

• B

• -1

What is the result of dividing 36 by -12?

• -3

• -36

• 3

• 12