Solving Linear Equations and Distributing

This video tutorial provides extra practice on distributing into two-step equations. The instructor walks through several examples, solving equations step-by-step, and explains the process of distributing, combining like terms, and isolating the variable. The lesson covers equations with positive and negative numbers, fractions, and larger coefficients, reinforcing concepts from previous lessons.

What is the main focus of this lesson?

• Solving quadratic equations

• Distributing in two-step equations

• Graphing linear equations

• Factoring polynomials

In the first example, what is the value of x when 2x + 8 = 22?

• x = 6

• x = 8

• x = 5

• x = 7

How do you isolate the variable in the equation 2x - 20 = 30?

• Divide both sides by 2

• Subtract 20 from both sides

• Add 20 to both sides

• Multiply both sides by 2

What is the solution for x in the equation 1/2x - 2 = -8?

• x = -14

• x = -10

• x = -12

• x = -16

When distributing 5(x - 4) = 75, what is the first step?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply 5 by x and -4

• Divide both sides by 5

In the equation 6x + 12 = 24, what is the value of x?

• x = 1

• x = 4

• x = 2

• x = 3

What is the result of dividing both sides of 2x = -6 by 2?

• x = 0

• x = -1

• x = -2

• x = -3

How do you solve 8x + 96 = 64 for x?

• Add 96 to both sides

• Subtract 96 from both sides

• Multiply both sides by 8

• Divide both sides by 8

What is the solution for x in the equation -4x + 36 = 32?

• x = 4

• x = 2

• x = 1

• x = 3

What is the final step to solve -4x = -4?

• Divide both sides by -4

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by -4