2-1: Writing Equations Essential Skills: Translate sentences into equations Translate equations into sentences

2-1: Writing Equations Example 1A: Sentences into Equations ◦T◦Translate the following into an equation ◦A◦A number b divided by three is equal to six less than c ◦T◦The equation is b / 3 = c – 6 b / 3 = c – 6

Example 1B: Sentences into Equations ◦T◦Translate the following into an equation ◦F◦Fifteen more than x times six is y times two minus eleven ◦T◦The equation is 15 + x ● 6 = y ● 2 – = 2 +x●6 y ● –11

1) Translate the following into an equation A number c multiplied by six is two more than d 1.6c = d c = d c = d c = 6(d + 2)

2) Translate the following into an equation: Three less than a number a divided by four is seven more than three times b a – 3 = 3b

2-1: Writing Equations Example 3: Write a formula ◦T◦Translate the sentence into a formula. ◦T◦The perimeter of a square equals four times the length of a side ◦W◦Words: Perimeter equals four times the length of a side ◦V◦Variables: Let P = perimeter and s = length of a side ◦F◦Formula: Perimeter equals four times the length of a side ◦T◦The formula is P = 4s P =4s

Translate the sentence into a formula: The area of a circle equals the product of π and the square of the radius 1. A = π + r 2 2. A = πr 2 3. A = 2πr 4. A = 2r + π

2-1: Writing Equations Example 4A: Equations into Sentences ◦T◦Translate the following into a verbal sentence ◦1◦12 – 2x = -5 ◦ 12– 2x =-5 ◦A◦Answer: Twelve minus two times x equals negative five Twelve minus two times x equalsnegative five

2-1: Writing Equations Example 4B: Equations into Sentences ◦T◦Translate the following into a verbal sentence ◦a◦a 2 + 3b = c / 6 ◦ a 2 + 3b = c / 6 ◦A◦Answer: a squared plus three times b equals c divided by 6 a squared plusthree times b equalsc divided by 6

Translate the equation into a verbal sentence 12 / b – 4 = Twelve minus four divided by b is negative one 2. Twelve less than four divided by b equals negative one 3. Four minus twelve divided by b equals negative one 4. Twelve divided by b minus four equals negative one

Translate the equation into a verbal sentence 5a = b Five plus a equals b squared plus one 2. Five times a equals twice b plus one 3. Five times a equals b squared plus one 4. The quotient of five and a equals b squared plus one

Participant Scores 5Sara Bath 5David Farrell 5Gabriel Gipli 5Caitlyn MacDonnell 5Kelliann Seedes

2-1: Writing Equations Assignment ◦Page 77 – 78  Problems ◦ 1 – 17 (skip #9) ◦ 21 – 29 (skip #25) ◦ Odd problems

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