Understanding Algebraic Expressions

The video tutorial explains how to determine the values of various expressions derived from the equation 2x + 6 = 1 without solving for x. It covers the process of transforming the equation to find the values of 2x + 3, 4(2x + 6), -(2x + 6) + 3, and 7/4 - (2x + 6)/4. Each section involves manipulating the equation while maintaining equality, using operations such as subtraction, multiplication, and division.

What is the result when 3 is subtracted from both sides of the equation 2x + 6 = 1?

• 2x + 3 = 0

• 2x + 3 = 1

• 2x + 3 = 2

• 2x + 3 = -2

How do you find the value of 4 times the quantity 2x + 6?

• Add 4 to both sides

• Multiply both sides by 4

• Subtract 4 from both sides

• Divide both sides by 4

What is the value of the expression - (2x + 6) + 3?

• -2

• 0

• 2

• 1

How do you determine the opposite of the quantity 2x + 6?

• Subtract 1 from both sides

• Multiply both sides by -1

• Divide both sides by 2

• Add 1 to both sides

What is the first step in solving the expression 7/4 - (2x + 6)/4?

• Find the opposite of 2x + 6

• Subtract 7/4 from both sides

• Multiply both sides by 4

• Add 7/4 to both sides

What is the result of dividing the opposite of 2x + 6 by 4?

• -1/4

• 1/4

• -2

• 2

How do you simplify the expression 7/4 - (2x + 6)/4?

• Subtract 7/4 from both sides

• Rewrite as a single fraction

• Add 7/4 to both sides

• Multiply both sides by 4

What is the simplified form of 6/4?

• 2/3

• 3/2

• 1/2

• 3/4

What is the final value of the expression 7/4 - (2x + 6)/4?

• 1/2

• 1

• 3/2

• 2

What is the common factor used to simplify 6/4?

• 4

• 3

• 2

• 6