Properties of Algebra and Expressions

This video is a comprehensive review of Algebra 1, covering a variety of problems including evaluating expressions, understanding properties of addition, distributing and multiplying binomials, working with fractions, and solving word problems. The video also includes free response questions focusing on binomials and trinomials. Each section provides detailed explanations and strategies for solving the problems, emphasizing the importance of understanding algebraic concepts and operations.

What is the result of evaluating the expression when x = -2?

• 9

• 13

• 7

• 11

Which property is concerned with the grouping of terms?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property

When distributing 5 in the expression 5(2x - 7), what is the result?

• 10x - 35

• 5x - 35

• 10x + 35

• 5x + 35

What is the simplified form of the expression 8/10x?

• 1/5x

• 4/5x

• 8/5x

• 2/5x

How do you express 'five less than half the sum of their ages' algebraically?

• (m + h)/2 - 5

• 5 - (m + h)/2

• (m + h)/2 + 5

• 5 + (m + h)/2

What is the result of expanding (x + 3)^2?

• x^2 + 6x + 9

• x^2 + 9x + 9

• x^2 + 3x + 9

• x^2 + 3x + 3

Which property is illustrated when the order of terms is changed?

• Distributive Property

• Commutative Property

• Identity Property

• Associative Property

How do you express 'twice the sum of n and 5'?

• n + 5

• 2(n + 5)

• n + 2(5)

• 2n + 5

What is the expression for the sum of Francisco, Jenna, and Harrison's ages if Jenna's age is 'a'?

• 4a + 1

• 5a + 1

• 6a + 1

• 3a + 1

What is the result of combining like terms in the expression 4x - 2x + 5 + 4?

• 6x + 9

• 6x + 1

• 2x + 1

• 2x + 9