2 3 multi step equations
- 2. Previously 11𝑥 = 77 11𝑥 11 = 77 11 Divide by 11 on both sides 𝑥 = 7
- 3. Multi-Step Equations ■ More than one operation to solve ■ Work backwards in order of operations ■ Undo all operations to isolate the variable
- 4. Solve the equation 2𝑎 − 6 = 4 +6 + 6 2𝑎 = 10 ÷ 2 ÷ 2 𝑎 = 5
- 5. Solve the equation 𝑛 + 1 −2 = 15−2 ∙ ∙ −2 𝑛 + 1 = −30 −1 − 1 𝑛 = −31
- 6. Translate and then solve Twelve decreased by twice a number is -34. 12 − 2𝑥 = −34 −12 − 12 −2𝑥 = −46 ÷ −2 ÷ −2 𝑥 = 23
- 7. A Multi Part Problem If 3𝑚 + 4 = −11, what is the value of 2𝑚 + 14? Part 1: Find the value of 𝑚 by solving the given equation. Part 2: Substitute in what you found to evaluate the value of the given expression. 3𝑚 + 4 = −11 3𝑚 = −15 𝑚 = −5 2𝑚 + 14 2(−5) + 14 −10 + 14 4 The answer to the question is 4.
- 8. Algebra 1i Homework Page 94-95 #11-22, 24, 25, 48-50
- 9. Consecutive Integers ■ Integers that come in counting order ■ For example 4, 5, 6 can be written as 𝑛, 𝑛 + 1, 𝑛 + 2 ■ n is the first of the consecutive integers
- 10. Consecutive Odd or Even Integers ■ Odd or Even numbers in counting order ■ Skips every other number ■ Must add 2 each term ■ Consecutive Odd example: 5, 7, 9 can be written as 𝑛, 𝑛 + 2, 𝑛 + 4 ■ Consecutive Even example: 12, 14, 16 can be written as 𝑛, 𝑛 + 2, 𝑛 + 4
- 11. Write an equation and solve Find three consecutive integers with a sum of 21. Add 𝑛, 𝑛 + 1, 𝑎𝑛𝑑 , 𝑛 + 2 to equal 21 𝑛 + 𝑛 + 1 + 𝑛 + 2 = 21 3𝑛 + 3 = 21 3𝑛 = 18 𝑛 = 6 𝑛 + 1 = 7 𝑛 = 6 𝑛 + 2 = 8 The three integers are 6, 7, and 8.
- 12. Algebra 1 Homework Page 94-95 #24-39, 42-50