Evaluate Algebraic Expressions

The video tutorial introduces algebraic expressions, explaining that they are mathematical phrases without equal signs. It differentiates between expressions and equations and demonstrates how to evaluate expressions by substituting variables with numbers and following the order of operations. Several examples are provided, including simple and complex expressions, to illustrate the evaluation process. The tutorial concludes with a practice problem for viewers to solve.

Which of the following is NOT an algebraic expression?

• 5 * 6b

• 14t - 9

• 2 + 7

• 9a + 15 = 42

What is the result of evaluating the expression 3a + 5 when a = 4?

• 17

• 12

• 21

• 19

In the expression 6s - 7t, if s = 5 and t = 3, what is the final result?

• 18

• 12

• 9

• 15

What is the first step in evaluating the expression 10a^2 - 7b + 3c when a = 4, b = 1, and c = 5?

• Multiply 7 by 1

• Calculate 4 squared

• Multiply 10 by 4

• Multiply 3 by 5

What is the result of 10 * 16 - 7 * 1 + 3 * 5?

• 175

• 160

• 168

• 153

In the practice problem, what is the value of 7m^2 when m = 3?

• 49

• 21

• 63

• 81

What is the final result of the expression 7m^2 + 8n when m = 3 and n = 5?

• 95

• 110

• 98

• 103