Evaluating Algebraic Expressions

​Evaluating Algebraic Expressions

Evaluating Algebraic Expressions

Learning Intentions:
I am learning how to evaluate expressions through substitution using given variables and numerical values.

​Success Criteria:

1. I can understand the concept of substituting values for variables in algebraic expressions. 

2. I can identify the variables and constants within an expression.

3. I can perform the substitution accurately to evaluate the expression.

4. I can recognize common mistakes when substituting values.

Why am I Learning About Evaluating Algebraic Expressions? When will use it?

Evaluating algebraic expressions is used in real life situations to calculate various quantities based on known variables, such as figuring out the total cost of groceries based on price per item, determining travel time based on distance and speed, calculating the area of a room, or even planning a budget by considering income and expenses, essentially translating real-world scenarios into mathematical expressions to find solutions.

Vocabulary:

Then simplify the expression using the order of operations

​Step 2

Substitute the given number for the variable in the expression

Step 1

Let's follow the steps......

$0.20c + $0.90

Sports cards cost $0.20 per card, plus $0.90 for their box. How much would a box of 10 cards cost?

$0.20c + $0.90

1. Substitute a value for the variable.

2. Rewrite the new expression:

$0.20 x 10 + $0.90

3. Evaluate using Order of Operations.

​Example 1

​Example 2

​​Example 2

​Example 3

​​Example 3

Multiple Choice

Directions: Evaluate the expression if n = 3

5n + 10        

• 25

• 530

• 63

• 20

Multiple Choice

Directions: Evaluate the expression if a = 10   and   b = 6

8a - b    

• 74

• 99

• -6

• 10

Multiple Select

Choose all that apply:

Which expressions mean multiplication?

• $$3\left(2\right)$$

• $$4b$$

• $$6\cdot7$$
  

• $$5\div2$$

Multiple Choice

Evaluate when t = 6.

$$2t-4$$  

• 4

• 6

• 8

• 10

Multiple Choice

Evaluate when x = 3.

$$6x+4$$  

• 13

• 22

• 6

• 7

Multiple Choice

3(2x + z) when x=8 and z=2

• 12
• 30
• 54
• 60

Multiple Choice

(y + z)² when y=5 and z=2

• 7
• 49
• 29
• 14

Poll

How do you feel about this topic

• Awesome

• Need help

• ok