Solving Two-Step Equations: Key Concepts and Techniques

This video tutorial by Mr. J introduces solving two-step equations by isolating the variable using inverse operations. It covers four examples, demonstrating how to solve equations by reversing the order of operations and checking solutions. The tutorial emphasizes maintaining balance in equations and provides a clear, step-by-step approach to finding solutions.

What is the first step in solving a two-step equation?

• Isolate the variable

• Use inverse operations

• Add the same number to both sides

• Multiply both sides by the same number

Tags

CCSS.7.EE.B.4A

In the equation 3x + 10 = 28, what is the first operation you should perform to isolate x?

• Divide by 3

• Multiply by 3

• Subtract 10

• Add 10

Tags

CCSS.7.EE.B.4A

After subtracting 10 from both sides in the equation 3x + 10 = 28, what is the resulting equation?

• x = 18

• 3x = 38

• x = 6

• 3x = 18

Tags

CCSS.HSA.REI.A.1

What is the value of x in the equation 3x + 10 = 28?

• 9

• 3

• 12

• 6

Tags

CCSS.7.EE.B.4A

In the equation 9y - 12 = 15, what is the first operation you should perform to isolate y?

• Add 12

• Subtract 12

• Divide by 9

• Multiply by 9

Tags

CCSS.HSA.REI.A.1

After adding 12 to both sides in the equation 9y - 12 = 15, what is the resulting equation?

• 9y = 3

• y = 3

• 9y = 27

• y = 27

Tags

CCSS.HSA.REI.A.1

What is the value of y in the equation 9y - 12 = 15?

• 2

• 1

• 3

• 4

Tags

CCSS.7.EE.B.4A

In the equation D / 8 + 32 = 41, what is the first operation you should perform to isolate D?

• Divide by 8

• Multiply by 8

• Subtract 32

• Add 32

Tags

CCSS.7.EE.B.4A

After subtracting 32 from both sides in the equation D / 8 + 32 = 41, what is the resulting equation?

• D / 8 = 72

• D = 72

• D = 9

• D / 8 = 9

Tags

CCSS.7.EE.B.4A

What is the value of D in the equation D / 8 + 32 = 41?

• 88

• 72

• 64

• 80

Tags

CCSS.7.EE.B.4A