Solving Linear Equations and Isolating Variables

The video tutorial covers solving equations using additive and multiplicative inverses. It demonstrates solving various equations by isolating the variable x through subtraction, addition, and division. The tutorial also explores alternative methods for solving equations, emphasizing flexibility in approach. The final example consolidates the techniques discussed, providing a comprehensive understanding of equation solving.

What is the first step in solving the equation 15 - 2x = 9x - 7?

• Add 2x to both sides

• Subtract 9x from both sides

• Subtract 2x from both sides

• Add 9x to both sides

After subtracting 9x from both sides in the equation 15 - 2x = 9x - 7, what is the resulting equation?

• 2x - 9x = -7

• -2x + 9x = -7

• -2x - 9x = -7

• 2x + 9x = -7

What operation is used to isolate x in the equation -6x + 3 = 27?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 6

• Divide both sides by 6

What is the value of x in the equation -6x + 3 = 27 after isolating x?

• x = 3

• x = 4

• x = 6

• x = 5

In the equation 3x - x = 22, what is the first step to isolate x?

• Add x to both sides

• Subtract x from both sides

• Add 22 to both sides

• Subtract 22 from both sides

What is the value of x in the equation 3x - x = 22?

• x = 14

• x = 13

• x = 12

• x = 11

In the equation 5x - 2x = 4, what is the first step to isolate x?

• Add 2x to both sides

• Subtract 2x from both sides

• Add 5x to both sides

• Subtract 5x from both sides

What is the value of x in the equation 5x - 2x = 4?

• x = 1/3

• x = -2/3

• x = -1/3

• x = 2/3

What is the alternative first step in solving 5x - 2x = 4?

• Add 5x to both sides

• Subtract 5x from both sides

• Subtract 4 from both sides

• Add 4 to both sides

In the alternative method for solving 5x - 2x = 4, what is the resulting equation after subtracting 5x?

• -3x = 1

• 2x + 5x = 1

• 2x - 5x = 1

• 3x = 1