Algebraic Expressions and Operations

This video tutorial covers evaluating algebraic expressions by substituting known variable values and applying the order of operations. It includes several examples demonstrating how to handle different scenarios, such as using negative values, fractions, and decimals. The tutorial emphasizes the importance of following the correct order of operations to achieve accurate results.

What is an algebraic expression?

• An expression with only numbers

• An expression with variables and numbers

• An expression with only operations

• An expression with only variables

What is the first step in the order of operations?

• Multiply and divide

• Evaluate inside parentheses

• Add and subtract

• Evaluate exponents

If x = 17, what is the value of 5x - 12?

• 68

• 77

• 73

• 85

In the expression 2x^2 + 5y - z^3, if x = -3, y = 7, and z = -2, what is the result?

• 70

• 45

• 61

• 53

What is the result of 9 divided by 2 in decimal form?

• 4.0

• 4.5

• 5.0

• 3.5

If x = 3 and y = -5, what is the value of 4x - 3y^2?

• -75

• 75

• 63

• -63

What is the simplified form of the fraction 36/58?

• 18/58

• 36/29

• 9/29

• 18/29

In the expression 3x^3 - x^2 + 2x + 9, if x = -2, what is the result?

• -18

• -23

• -32

• -28

What is the result of 2^2 * (-3)^2?

• 36

• 9

• 12

• 18

What is the result of 4 - 2 * (-3)^3?

• 58

• 54

• 50

• 46