Download Name: [Unit 1 – fundamentals] Date: Undefined Terms and their

Name: ________________________________
FUNDAMENTALS]
[UNIT 1 –
Date:
Undefined Terms and their Intersections
Do Now: Write 3 – 5 sentences on the following questions. Be as specific as possible and use mathematical
vocabulary.
• What do you already know about Geometry?
• What do you think you will learn in Geometry this year?
Postulates & Theorems
Posulate
Definition:
Example:
Theorem
Definition:
Example:
Determine if the following are postulates of theorems:
1. The sky is blue
2. The whole is greater than the part
3. Hand sanitizer keeps you safe from germs
4. Dominos pizza is the most popular pizza
5. There are 4 quarters in a football game
Check Your Understanding
Write down a theorem and postulate of your own:
Determine if the following statements are theorems or postulates and include a justification using
words or numeric examples:
1. A baseball can be thrown at speeds greater than 100 mph
2. Any number greater than 100 can be divided by 5
3. There are 365 days in a year
4. A square has four sides
5. Glass will break if you drop it on concrete
6. Every integer greater than 1 is either prime or the product of prime numbers
Solving One Variable Equations
________________ means to ____________________ x, or get it by itself
Use _______________________________________________________________ to undo what is there
1. 15 = y – 3
2. 73 = y + 20
3. X = -2
4
4. 5y = 10
6(2x + 1) = -138
3x + 4 = 3x + 18
3
Name:
Date:
1.
3.
Section:
2(𝑦−1)
3
𝑥+1
4
Independent Practice: Solving One Variable Equations
2. 4x + 3 = 2(x – 7)
= 4𝑦
4. 6x + 2 = 2(x – 5)
=𝑥
5. 10x – 4 = 5x + 11
7. 2𝑥 + 2 =
9.
𝑥−1
2
= 4𝑥
𝑥+1
6.
𝑧−3
2
= 2𝑧 + 1
8. 4y – 5 = y + 13
2
10. 10x + 2 = 9x + 39