Solving Linear Equations and Inequalities

The video revisits solving one-step equations by multiplying and dividing. It begins with simplifying each side of a linear equation, using examples to demonstrate combining like terms and isolating variables. The first example shows simplifying 7X - 3X = -48 to 4X = -48, then isolating X by dividing both sides by 4 to find X = -12. The second example involves solving 36 = 4X - 13X, simplifying to -9X, and isolating X by dividing both sides by -9 to find X = -4.

What is the first step in solving a linear equation?

• Multiplying both sides by a constant

• Isolating the variable

• Combining like terms

• Simplifying each side of the equation

In the equation 7X - 3X = -48, what operation is used to combine the like terms?

• Addition

• Multiplication

• Division

• Subtraction

After simplifying 7X - 3X, what is the resulting equation?

• 10X = 48

• 10X = -48

• 4X = -48

• 4X = 48

How do you isolate the variable X in the equation 4X = -48?

• Subtract 4 from both sides

• Add 4 to both sides

• Divide both sides by 4

• Multiply both sides by 4

What is the solution to the equation 4X = -48?

• X = -12

• X = 12

• X = 48

• X = -48

In the equation 36 = 4X - 13X, what is the result of combining the like terms?

• -17X

• 17X

• -9X

• 9X

How do you isolate X in the equation -9X = 36?

• Multiply both sides by -9

• Divide both sides by -9

• Add 9 to both sides

• Subtract 9 from both sides

What is the solution to the equation -9X = 36?

• X = 4

• X = -4

• X = -36

• X = 36