Evaluating Expressions with One Variable

In this lesson, Kayleigh introduces the concept of evaluating algebraic expressions using variables. The video demonstrates how to substitute values into expressions and apply the order of operations to solve them. It provides a step-by-step guide to evaluating expressions and uses a real-world example of calculating speed to illustrate the process. The lesson emphasizes understanding variables, constants, and coefficients, and encourages students to practice these skills independently.

What does the term 'substitution' mean in algebra?

• Replacing a variable with a constant

• Adding two numbers together

• Multiplying two variables

• Dividing a constant by a variable

In the expression 3x + 4, what is the coefficient?

• 4

• 7

• 3

• x

When evaluating 3x + 4 for x = 2, what is the first step?

• Multiply 3 by 2

• Divide 4 by 2

• Add 3 and 4

• Subtract 2 from 4

What is the result of evaluating 3x + 4 when x = 2?

• 14

• 12

• 10

• 8

What is the first step in the three-step method for evaluating expressions?

• Multiply the constants

• Evaluate using order of operations

• Write the expression in your own handwriting

• Substitute the variable

In the expression m + 3m - 10, what is the value of the expression when m = 4?

• 12

• 10

• 8

• 6

What is the equation for speed in terms of distance and time?

• s = d * t

• s = d - t

• s = d + t

• s = d / t

What was Chloe's speed when she ran her fastest 200-meter dash in 25 seconds?

• 9 meters per second

• 8 meters per second

• 7 meters per second

• 6 meters per second

What was Chloe's speed when she ran her slowest 200-meter dash in 29 seconds?

• 8.1 meters per second

• 9.0 meters per second

• 7.2 meters per second

• 6.8 meters per second

What should you always remember when practicing evaluating expressions?

• To check your work

• To write neatly

• To be clever

• To use a calculator