1. Applying Algebraic Expressions
TeacherTwins©2015

2. Warm Up Simplify 3x + 4(x + 6) 4 + 2x + 3(x – 1) 7x + 24

3. Example 1:
It costs $50 to rent the community swimming pool plus $5 per person that swims. Write an expression to find the cost for any number (n) of people. What is the cost for 30 people?

4. The expression $50 + $5n represents the situation.
To find the cost for 30 people substitute 30 for n.
$50 + $5(30) = $200

5. Example 2:
Below are the dimensions of a tomato and cucumber garden. Write an expression to represent the area of the garden. 5 x
2.5(5 + x) = x
2.5

6. Example 3:
The expression 15x + 10 represents the area of the figure below. Use the distributive property to find the dimensions
Find the GCF of 15x and 10.
GCF = 5 3x 2
Divide 15x and 10 by the GCF. 5
15x 10
15x÷5 = 3x
10 ÷ 5 = 2
5(3x + 2)

7. Example 4:
Kim has 5 more than twice as many pencils as Lin. Write an algebraic expression to represent the amount of pencils Kim has.
5 + 2c

8. Closure
Write an expression to represent John has 2 times the coins plus 6 as many coins as Tim.
2c + 6