Solving Linear Equations Steps

The video tutorial covers solving linear equations through four examples. The first example is straightforward, involving simple algebraic manipulation. The second and third examples introduce fractions, requiring the use of the lowest common denominator to simplify the equations. The fourth example combines decimals and fractions, demonstrating how to handle both in solving linear equations. Each example builds on the previous one, reinforcing the concepts of moving terms and simplifying equations.

What is the first step in solving a linear equation without parentheses, fractions, or decimals?

• Multiply both sides by a constant

• Move all terms with the variable to one side

• Divide both sides by a constant

• Add a constant to both sides

In the first example, what operation is performed after moving terms?

• Subtraction

• Addition

• Division

• Multiplication

What is the result of solving the first example equation?

• x = -6

• x = 6

• x = -12

• x = 12

In the first example, what is the coefficient of x after moving terms?

• 2

• 5

• 3

• 4

What operation is performed to isolate x in the first example?

• Division

• Multiplication

• Subtraction

• Addition

In the first example, what is the value of x after solving?

• -6

• -12

• 12

• 6

What is the first step in solving an equation with fractions?

• Add fractions

• Subtract fractions

• Find the lowest common denominator

• Multiply fractions

What is the lowest common denominator used in the second example?

• 10

• 8

• 12

• 6

After eliminating fractions in the second example, what is the next step?

• Divide all terms

• Multiply all terms

• Move terms with variables to one side

• Add all terms

What is the solution to the second example equation?

• x = 16.5

• x = -16.5

• x = 33

• x = -33