Solving Equations

Hello students!  This Solving Equations course will take you through a learning path of solving one-step equations with addition and subtraction, then multiplication and division.  

Key Vocabulary

Vocabulary Match for Solving Equations

Use http://www.mathwords.com to learn the key terms for this lesson.
  • Simplify
    To use the rules of arithmetic and algebra to rewrite an expression as simply as possible.
  • Solve
    Find all solutions to an equation, inequality, or a system of equations and/or inequalities.
  • Equations
    A mathematical sentence built from expressions using one or more equal signs (=).
  • LInear
    Like a line. A description of any graph or data that can be modeled by a linear polynomial.
  • Term
    Parts of an expression or series separated by + or – signs, or the parts of a sequence separated by commas.
  • Like Terms
    Terms which have the same variables and corresponding powers and/or roots. Like terms can be combined using addition an subtraction. Terms that are not like cannot be combined using addition or subtraction.
  • Expression
    Any mathematical formula combining numbers and/or variables using sums, differences, products, quotients, exponents, roots, logarithms, trig functions, parentheses, brackets, functions. May not contain the equal sign (=) or any type of inequality.
  • Variable
    A quantity that can change or that may take on different values. Variable also refers to a letter or symbol representing such a quantity.
  • Positive
    A real number greater than zero. Zero itself is not positive.
  • Negative
    A real number less than zero. Zero itself is neither negative nor positive.
  • Distributive Property
    To multiply out the parts of an expression. Distributing is the opposite of factoring.

Launch the Lesson Presentation

Overview

Learning Targets

By the end of this lesson, you should have an understanding of what solving an equation is like and be able to answer the three questions below.  Jot them down and turn them in to the Dropbox at the end of the lesson.  Title the lesson, Learning Targets.   Thank you, Mrs. McCord

Solving an equation is like finding the missing piece of a puzzle.
 

The missing piece is a variable.
The value that completes the puzzle is a solution.

1. Find the value of the variable :  x + 9 = 15x + 9=15

2. Write one sentence describing how you found the solution to #1.

3. Create three different equations that all have a solution of 12.

Sovling Basic Equations Part 1

Solving 1-step Equations

Use the video to learn the process. Take notes and upload those to Dropbox. 

Solve: x + 7 = 15

  • x = 22
  • x = 8

Solve: 40 = 25 + x

  • x = 65
  • x = 10
  • x = 15

Solve: 10 = x - 32

  • x = 22
  • x = 42
  • x = 32

Practice Section

6 + y = 17

  • 11
  • -23
  • -11
  • 23

-2 = a - 10

  • -8
  • 12
  • -12
  • 8

3x = 15

  • 5
  • -5
  • 12
  • 18

m/9 = 3

  • -27
  • 12
  • 27
  • 6

40 = -5b

  • -8
  • 35
  • 45
  • 8

Conclusion

Reflection

Turn this Reflection into the Dropbox

Explain how solving any equation is like putting together a puzzle.

Try to write at least 3 sentences and use at least 3 key vocabulary terms.

equation, variable unknown value

substitute, constant, integer, solution

add, subtract, multiply, divide