Simplifying and Evaluating Expressions

The video tutorial explains how to simplify algebraic expressions and evaluate their equivalence for given variable values. It covers two examples: the first involves distributing and combining like terms, while the second focuses on combining like terms without distribution. Both expressions are evaluated for specific values, demonstrating that they yield the same result when simplified correctly. The tutorial concludes with a preview of additional examples in the next video.

What is the main goal of the activity described in the video?

• To learn how to solve equations

• To simplify and evaluate expressions

• To graph linear functions

• To factor polynomials

What is the first step in simplifying the expression 3(x - 2) + 7x?

• Add 7 to x

• Combine like terms

• Distribute the 3

• Subtract 2 from x

After distributing and combining like terms, what is the simplified form of 3(x - 2) + 7x?

• 3x - 2 + 7x

• 10x - 6

• 3x - 6 + 7x

• x - 2 + 7x

When x equals 6, what is the value of the original expression 3(x - 2) + 7x?

• 42

• 48

• 54

• 60

What is the value of the simplified expression 10x - 6 when x equals 6?

• 42

• 54

• 60

• 48

In the second example, what is the first step to simplify the expression?

• Use the quadratic formula

• Factor the expression

• Combine like terms

• Distribute the coefficients

What is the simplified form of the expression -3y^2 + 4x + 2y^2 - x?

• -y^2 + 2x

• -3y^2 + 2x

• -y^2 + 4x

• -y^2 + 3x

When x equals 6 and y equals -4, what is the value of the original expression -3y^2 + 4x + 2y^2 - x?

• 6

• 0

• 2

• 4

What is the value of the simplified expression -y^2 + 3x when x equals 6 and y equals -4?

• 6

• 0

• 2

• 4

What conclusion can be drawn about the equivalence of the expressions in both examples?

• They are equivalent if simplified correctly

• They are not equivalent

• They are equivalent only for y = -4

• They are equivalent only for x = 6