Solving and Verifying Linear Equations

The video tutorial explains how to solve two-step equations by isolating the variable through inverse operations. It covers two example equations, demonstrating the process of solving and verifying each solution. The tutorial emphasizes understanding the steps of addition, subtraction, multiplication, and division to isolate the variable and check the correctness of the solutions.

What is the first step in solving the equation 3x + 4 = 16?

• Subtract 4 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 4 to both sides

Tags

CCSS.HSA.REI.A.1

After subtracting 4 from both sides of the equation 3x + 4 = 16, what is the resulting equation?

• 3x = 12

• x = 4

• x = 12

• 3x = 20

Tags

CCSS.6.EE.B.7

What operation is used to isolate x in the equation 3x = 12?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

Tags

CCSS.7.EE.B.4A

What is the solution to the equation 3x + 4 = 16?

• x = 3

• x = 4

• x = 5

• x = 6

Tags

CCSS.6.EE.B.5

How do you verify the solution x = 4 for the equation 3x + 4 = 16?

• Multiply both sides by 4

• Substitute x = 4 into the equation and check if both sides are equal

• Subtract 4 from both sides

• Divide both sides by 4

Tags

CCSS.7.EE.B.4A

What is the first step in solving the equation 5 - 2x = -13?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 2

• Divide both sides by 2

Tags

CCSS.HSA.REI.A.1

After subtracting 5 from both sides of the equation 5 - 2x = -13, what is the resulting equation?

• -2x = -18

• -2x = -8

• 2x = -18

• 2x = -8

Tags

CCSS.6.EE.B.7

What operation is used to isolate x in the equation -2x = -18?

• Subtract 2 from both sides

• Divide both sides by -2

• Add 2 to both sides

• Multiply both sides by -2

Tags

CCSS.7.EE.B.4A

What is the solution to the equation 5 - 2x = -13?

• x = -9

• x = -4

• x = 9

• x = 4

Tags

CCSS.6.EE.B.5

How do you verify the solution x = 9 for the equation 5 - 2x = -13?

• Subtract 9 from both sides

• Multiply both sides by 9

• Divide both sides by 9

• Substitute x = 9 into the equation and check if both sides are equal

Tags

CCSS.6.EE.B.5