Solving Linear Equations with Distribution Techniques

This video tutorial covers solving linear equations using the distributive property, with examples demonstrating how to distribute numbers across parentheses, balance equations, and solve for variables. It includes practical applications like calculating the perimeter of a triangle, emphasizing the importance of distributing correctly and balancing equations by moving variables and constants appropriately.

What is the first step when you see parentheses in a linear equation?

• Divide the number outside the parentheses by each term inside

• Add the numbers inside the parentheses

• Subtract the numbers inside the parentheses

• Distribute the number outside the parentheses to each term inside

What is the result of distributing 3 to the terms inside the parentheses in the expression 3(4x - 3)?

• 4x - 3

• 7x - 3

• 12x - 9

• 12x + 9

After distributing, what is the next step in solving the equation 8x - 9 = -5?

• Move the constants to the left side

• Move the variables to the right side

• Move the variables to the left side

• Move the constants to the right side

In the equation -2x + 3x - 9 = 5, what should you do to balance the equation?

• Subtract 3x from both sides

• Add 3x to both sides

• Subtract 9 from both sides

• Add 9 to both sides

What is the final step in solving the equation -5x = -25?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by -5

• Multiply both sides by -5

When solving the equation 4x + 6 = -12, what should you do after moving the variable to one side?

• Subtract 6 from both sides

• Multiply both sides by 4

• Divide both sides by 4

• Add 6 to both sides

In the equation 2(x - 3) + 5 = 3(x + 4) - 3, what is the first step?

• Move the variables to one side

• Subtract 3 from both sides

• Distribute the 2 and 3 to the terms inside the parentheses

• Add 5 to both sides

What is the result of combining like terms in the expression 5x + 3x + 3x?

• 10x

• 9x

• 11x

• 8x

In the practical problem involving the perimeter of a triangle, what is the first step?

• Subtract the sides

• Multiply the sides

• Divide the sides

• Add all the sides together

What is the value of x if the perimeter of the triangle is 59 inches and the sides are 5x + 2, 3x + 3, and 3x - 1?

• 4

• 5

• 6

• 7