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Lesson 3.4- Solving Multi-Step Equations, pg. 142. Objectives : To solve problems by working backward. To solve equations involving more than one operation. Vocabulary. Multi-Step Equations : equations with more than one operation. Consecutive Integers : integers in counting order.

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lesson 3 4 solving multi step equations pg 142

Lesson 3.4- Solving Multi-Step Equations, pg. 142

Objectives:

To solve problems by working backward.

To solve equations involving more than one operation.

vocabulary
Vocabulary
  • Multi-Step Equations: equations with more than one operation.
  • Consecutive Integers: integers in counting order.

Consecutive integers: 7, 8, 9,…

Consecutive odd integers: 5, 7, 9, 11..

Consecutive even integers: 10, 12, 14, 16…

  • Number theory: the study of numbers and the relationships between them.
ex 1 solve each problem by working backwards
Ex. 1: Solve each problem by working backwards.
  • A number multiplied by seven, and then the product is added to 13. The result is 55. What is the number?
  • The English alphabet contains 2 more than twice as many letters as the Hawaiian alphabet. How many letters are there in the Hawaiian alphabet?
slide4
3. Nine is subtracted from a number, and then the difference is multiplied by 5. The result is 75. What is the number?
steps for solving multi step equations
Steps for Solving Multi-Step Equations
  • Step 1: Undo addition and subtraction
  • Step 2: Undo multiplication and division.
  • Step 3: Check
slide7
3.

4. 0.2n + 3 = 8.6

ex 3 write an equation and solve each problem
Ex. 3: Write an equation and solve each problem.
  • Twelve decreased by twice a number equals -34. Find the number.
summary
Summary

Steps for Solving Multi-Step Equations

  • Step 1: Undo addition or subtraction.
  • Step 2: Undo multiplication or division.
  • Step 3: Check.
  • Consecutive integers: n, n+1, n+2,…
  • Consecutive odd integers: n, n+2, n+4,…
  • Consecutive even integers: n, n+2, n+4,…
  • NBA #18, pg. 146, problems 16-46 even