Solving Linear Equations Steps

The video tutorial explains how to solve two-step equations through four examples. Each example demonstrates the process of isolating the variable by performing addition or subtraction, followed by multiplication or division. The tutorial emphasizes checking solutions through substitution and encourages viewers to verify their answers. The video aims to build a foundational understanding of solving two-step equations.

What is the first step in solving the equation 6m + 6 = -26?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

• Divide both sides by 6

After isolating the variable term in the equation 6m + 6 = -26, what is the next step?

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

In the equation -41 = 1 - 7x, what operation is used to isolate the variable term?

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by 7

• Multiply both sides by 7

What is the solution for x in the equation -41 = 1 - 7x?

• x = 7

• x = -7

• x = 6

• x = -6

In the equation 67z + 5 = 17, what is the first step to isolate the variable term?

• Divide both sides by 67

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 67

What is the reciprocal of 67 used for in solving the equation 67z + 5 = 17?

• To divide both sides

• To multiply both sides

• To subtract from both sides

• To add to both sides

What is the solution for z in the equation 67z + 5 = 17?

• z = 12

• z = 14

• z = 16

• z = 18

In the equation r - 8 = -5, what operation is used to isolate the variable term?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by -1

• Multiply both sides by -1

What is the solution for r in the equation r - 8 = -5?

• r = 3

• r = -3

• r = 5

• r = -5

What is encouraged after solving each equation?

• To memorize the solution

• To verify the solution

• To ignore the solution

• To change the solution