1. Number Theory Lesson 15 Variables and Algebraic Expressions
Ms. Drake th grade Math
Number Theory
Lesson 15
Variables and Algebraic Expressions

2. Week by Week Essentials Week 4

3. Number Theory
Addition Property of Equality
Algebraic Expression
Base
Coefficient
Composite Number
Constant
Division Property of Equality
Equation

4. Number Theory
Evaluate
Exponent
Greatest Common Factor (GFC)
Inverse Operations
Isolate the Variable
Least Common Multiple (LCM)
Like Terms

5. Number Theory
Multiple Multiplication Property of Equality Numerical Expression Order of Operations Power Prime Factorization Prime Number Scientific Notation Solution

6. Number Theory
Solve
Standard Form
Subtraction Property Of Equality
Term
Variable
Verbal Expression

7. Variables and Algebraic Expressions
Algebraic Expression: an expression that contains at least one variable.
Example:
3 + x
5(b-2)

8. Variables and Algebraic Expressions
Evaluate: to find the value of a numerical or algebraic expression.

9. Variables and Algebraic Expressions
Constant: stays the same
A value that does not change.
2 always represents the value 2
5 always represents the value 5

10. What are examples of quantities that are constant?
The year you were born…
The number of hours in a day…

11. Variables and Algebraic Expressions
Variable: varies- is not the same
A letter that takes the place of an unknown number or numbers.
A symbol used to represent a quantity that can change.

12. What are some examples of quantities that vary?
The price of gasoline…
Temperatures….

13. How can we find out how much money Abdul could help raise
Abdul entered a walk-a-thon for a local charity. His sponsor provided the $20 entry fee and will provide $4 for each mile he walks.
How can we find out how much money Abdul could help raise

14. Make a table to display the information
How would we write the expression if the number of miles walked is replaced by the variable m?

15. If Abdul walked 13 miles, how much would he earn for charity?
Miles Walked
Expression
Amount 1
20 + 4(1) 24 5
20 + 4(5) 40
If Abdul walked 13 miles, how much would he earn for charity?

16. What if Abdul wanted to earn $100 for charity
What if Abdul wanted to earn $100 for charity? How many miles must he walk?

18. Evaluate each expressions for the given value of the variable.
3x – 2 for x = 5
… for x = 7

19. 28

21. Evaluate an algebraic expression with two variables.

22. …Until next time solve this magic square with a partner
…Until next time solve this magic square with a partner. In a magic square each row, column and diagonal will have the same sum.

23. Evaluate for x = 4 x = 6 and x = 0. Which solutions are true?

24. This is a magic square only if after you solve each expression, the sums of the solutions in each row, column and diagonal are the same.

25. 24
7+4 11 4
2(4)+1 9
4+2 6
0.5(4)+6 8
4+6 10
3(4)-5 7
3(4) 12
4+1 5 24 24 24 24 24 24 24

26. Six is not a solution. 35
6+6 12 6
2(6)+1 13
6+2 8
0.5(6)+6 9
3(6)-5
3(6) 18
6+1 7 31 29 38 33 33 32 28

27. Zero is not a solution 2
7+0 7
2(0)+1 1
0+2 6
0.5(0)+6
0+6
3(0)-5 -5
3(0)
0+1 8 24 -4 8 6 8 14