1. Lesson 2-1
Writing Equations

2. Goals Understand the difference between expressions and equations
Translate sentences into equations
Translate equations into sentences

3. Vocabulary
formula is a rule for a relationship between certain quantities
What are some formulas you know?

4. Write Algebraic Expressions
Eleven less than 𝑧 times six 6𝑧−11 Seven times a number squared 7 𝑛 2
𝑦 times two increased by fifteen 2𝑦+15 Five times the difference of 𝑘 & 𝑚 5 𝑘−𝑚

5. Translate Sentences into Equations
Eleven less than 𝑧 times six is equal to 𝑦 times two increased by fifteen. 6𝑧−11=2𝑦+15 Seven less than 3 times a number is the same as 22. 3𝑛−7=22
Seven times a number squared is identical to five times the difference of 𝑘 & 𝑚. 7 𝑛 2 =5 𝑘−𝑚 The perimeter of a square is equivalent to the area of a triangle. What is the perimeter of a square? What is the area for a triangle? 4𝑠= 1 2 𝑏ℎ

6. Translate Sentences into Equations
A number 𝑐 multiplied by six is equal to two more than 𝑑.
𝒅=𝟔𝒄+𝟐
𝟐𝒄=𝒅+𝟔
𝟔𝒄=𝒅+𝟐
𝒄=𝟔(𝒅+𝟐)

7. Translate Sentences into Equations
Three less than a number 𝑎 divided by four is seven more than 3 times 𝑏.
𝟑−𝒂÷𝟒=𝟕+𝟑𝒃
𝟒𝒂−𝟑=𝟑𝒃+𝟕
𝒂−𝟑 𝟒 =𝟑𝒃+𝟕
𝒂 𝟒 −𝟑=𝟑𝒃+𝟕

8. Translate the equation into a verbal sentence.
12 𝑏 −4=−1
Twelve minus four divided by b is the opposite of one.
Twelve less than four divided by b equals the opposite of one.
Four minus twelve divided by b equals the opposite of one.
Four less than the quotient of twelve and b equals the opposite of one.

9. Translate the equation into a verbal sentence.
5𝑎=𝑏2+1
Five plus 𝒂 equals 𝒃 squared plus one.
Five times 𝒂 equals twice 𝒃 plus one.
Five times 𝒂 equals 𝒃 squared plus one.
The quotient of five and 𝒂 equals 𝒃 squared plus one.

10. Write a Story problem based on the given information.
ℎ= Tim's height in inches ℎ–3= Carla's height in inches 3ℎ(ℎ–3)=8262
Carla is 3 inches shorter than Tim. The product of Carla’s height and three times Tim’s is How tall is Tim?
Carla is 3 inches taller than Tim. The product of Carla's height and three times Tim's is How tall is Tim?
Carla is 3 inches shorter than Tim. The sum of Carla's height and three times Tim's is How tall is Tim?
Tim is 3 inches shorter than Carla. The product of Carla's height and three times Tim's is How tall is Tim?

11. Assignment
2-1 Practice #1-3, 5-7, 15 Do on a separate sheet of paper. Not on the worksheet.