2 3 multi step equations

2 3 multi step equations

• 1.
  MULTI-STEP EQUATIONS Section 2.3 pages91-96
• 2.
  Previously 11𝑥 = 77 11𝑥 11 = 77 11 Divideby 11 on both sides 𝑥 = 7
• 3.
  Multi-Step Equations ■ Morethan 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 thensolve Twelve decreased by twice a number is -34. 12 − 2𝑥 = −34 −12 − 12 −2𝑥 = −46 ÷ −2 ÷ −2 𝑥 = 23
• 7.
  A Multi PartProblem 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 Page94-95 #11-22, 24, 25, 48-50
• 9.
  Consecutive Integers ■ Integersthat 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 orEven 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 equationand 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 Page94-95 #24-39, 42-50