Solving Linear Equations Concepts

The video tutorial demonstrates solving linear equations in one variable through two examples. It begins with simplifying both sides of the equation, eliminating parentheses, and combining constants. The first example involves distributing -7 and isolating the variable by subtracting and dividing. The solution is x = 10. The second example uses similar steps, distributing 8, combining constants, and isolating the variable by subtracting and dividing, resulting in x = 10. The tutorial emphasizes simplifying equations and isolating variables to find solutions.

What is the first step in solving linear equations with multiple steps?

• Multiplying both sides by a constant

• Adding constants

• Simplifying both sides of the equation

• Isolating the variable

When simplifying the first equation, what operation is used to eliminate the parenthesis?

• Addition

• Subtraction

• Distribution

• Division

After distributing -7 in the first equation, what is the next step?

• Combine like terms

• Multiply by -7

• Add 7 to both sides

• Divide by 7

What is the solution for x in the first equation?

• x = 0

• x = -10

• x = 10

• x = 5

In the second equation, what is the result of distributing 8?

• 8x + 16

• 8x - 16

• 8x - 2

• 8x + 2

What is the combined constant on the left side of the second equation?

• -9

• -16

• -23

• -7

How do you isolate the variable term in the second equation?

• Multiply by 25

• Subtract 25x from both sides

• Add 25x to both sides

• Divide by 25

What is the final step to solve for x in the second equation?

• Add 17 to both sides

• Divide by -17

• Subtract 17 from both sides

• Multiply by -17

What is the solution for x in the second equation?

• x = 5

• x = 0

• x = 10

• x = -10

What is the purpose of adding 23 to both sides in the second equation?

• To isolate the constant

• To simplify the equation

• To balance the equation

• To eliminate the variable