Algebraic Expressions and Simplification

The video tutorial covers evaluating and simplifying algebraic expressions. It explains how to substitute values into expressions and follow the order of operations. Several examples demonstrate evaluating expressions, simplifying fractions, and using the distributive property. The tutorial emphasizes combining like terms and applying the order of operations to achieve simplified results.

What is the first step in evaluating an algebraic expression?

• Divide all terms

• Substitute given values for variables

• Add all the numbers together

• Multiply all terms

When simplifying an expression, which operation should be performed first?

• Multiplication

• Subtraction

• Division

• Addition

In the expression 3 * X * Y - 2 * Z, if X = -4, Y = 5, and Z = -2, what is the result?

• -58

• -52

• -60

• -56

What is the result of -12 * 5 + 4?

• -64

• -56

• -60

• -52

What is the result of 3 * X if X = 3?

• 3

• 9

• 6

• 12

What is the result of 3 * X if X = -4?

• 8

• -12

• 12

• -8

What is the result of -2 * Z if Z = -2?

• -2

• 4

• -4

• 2

In the expression 5 * W + 2 * W / 3 * W, if W = -3, what is the simplified result?

• -21/9

• -7/3

• 21/9

• 7/3

What is the simplified form of -21 / -9?

• 3/7

• -7/3

• 7/3

• -3/7

What is the result of 5 * W if W = -3?

• 10

• -10

• 15

• -15