Solving Linear Equations Techniques

The video tutorial covers solving two-step equations, emphasizing the golden rule: whatever you do to one side of the equation, you must do to the other. It explains the process of isolating the variable by moving constants and using inverse operations. The tutorial provides multiple examples, including equations with fractions and variables on different sides. It also explores alternative methods like cross-multiplication for solving equations.

What is the golden rule of solving equations?

• Whatever you do to one side, do to the other.

• Add the same number to both sides.

• Subtract the same number from both sides.

• Multiply both sides by the same number.

What is the first step in solving the equation 4x - 9 = 21?

• Multiply both sides by 4.

• Divide both sides by 4.

• Subtract 9 from both sides.

• Add 9 to both sides.

In the equation 3x + 1 = 7, what operation should be performed first?

• Add 1 to both sides.

• Subtract 1 from both sides.

• Multiply both sides by 3.

• Divide both sides by 3.

How do you solve the equation 5 - 2n = -1 for n?

• Subtract 2 from both sides, then divide by 5.

• Subtract 5 from both sides, then divide by -2.

• Add 5 to both sides, then divide by -2.

• Add 2 to both sides, then divide by 5.

What is the result of solving the equation 4 - 5r = 36?

• r = 7

• r = 8

• r = -7

• r = -8

What is the solution to the equation 2/3 * j = 10?

• j = 15

• j = 20

• j = 25

• j = 30

How do you solve the equation w/4 = 24 for w?

• Multiply both sides by 4.

• Divide both sides by 4.

• Add 4 to both sides.

• Subtract 4 from both sides.

In the equation 1/w = 24, what is the value of w?

• w = 1/24

• w = 24

• w = 48

• w = 96

What is the first step in solving the equation r - 3/3 = 5?

• Add 3 to both sides.

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Divide both sides by 3.

Which method can be used as an alternative to solve r - 3/3 = 5?

• Subtracting fractions

• Adding fractions

• Cross-multiplication

• Dividing fractions