Evaluating Expressions for 7th Grade Math

This video tutorial covers evaluating algebraic expressions using the order of operations, also known as PEMDAS. It begins with an introduction to the concept of evaluation, followed by several examples that demonstrate how to substitute variables with given values and simplify expressions. The tutorial includes examples with basic expressions, expressions with different variable values, and more complex expressions involving exponents. Students are encouraged to practice with provided problems and bring any questions to class.

What does the term 'evaluate' mean in the context of algebraic expressions?

• To add all the numbers

• To replace variables with given numbers and simplify

• To multiply all the numbers

• To divide all the numbers

In the expression 6x + 2x - 5, if x = 2, what is the first step?

• Multiply 6 by 2

• Subtract 5 from 6

• Replace x with 2

• Add 6 and 2

What is the result of evaluating 6x + 2x - 5 when x = 2?

• 7

• 11

• 15

• 9

In the expression 6a + 2b - 5, if a = 2 and b = 4, what is the value of 2b?

• 6

• 8

• 4

• 2

What is the final result of evaluating 6a + 2b - 5 when a = 2 and b = 4?

• 10

• 15

• 25

• 20

When evaluating an expression with exponents, what should you do first?

• Subtract all the numbers

• Evaluate the exponents

• Multiply all the numbers

• Add all the numbers

What is the value of 7^3?

• 49

• 21

• 147

• 343

In the expression x^2 + 2x + 16 / y^2, if x = 3 and y = -4, what is the value of y^2?

• 2

• 16

• 4

• 8

What is the result of evaluating x^2 + 2x + 16 / y^2 when x = 3 and y = -4?

• 16

• 15

• 9

• 25

What is the final answer for the practice problem 5a + 6c - 4 - 1 when a = 4 and c = -2?

• 7

• 3

• 9

• 5