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Algebra II Equation Definitions

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The document defines key algebra concepts like equations, inverse operations, and properties used to solve equations. It provides examples of using inverse operations, commutative and identity properties, and subtraction rules to solve addition, subtraction, and open equations.

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Algebra II
Definitions ,[object Object],[object Object],[object Object]
Definitions ,[object Object],[object Object],[object Object]
Definitions ,[object Object],[object Object],[object Object]
An Equation is like a balance scale. Everything must be equal on both sides. 10 5 + 5 =
When the amounts are equal on both sides it is a true equation. 12 6 + 6 =
When the amounts are unequal on both sides it is a false equation. 8 2 + 2 =
When an amount is unknown on one side of the equation it is an open equation. 7 n + 2 =
When you find a number for n you change the open equation to a true equation. You solve the equation. 7 n + 2 = 5
Are these equations true, false or open? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],false true open false open true
Definitions ,[object Object],[object Object],[object Object]
How to solve an addition equation ,[object Object],[object Object],[object Object]
How to solve a subtraction equation ,[object Object],[object Object],[object Object]
Solve these equations using the inverse operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3 9 13 19 8 9
Commutative Property ,[object Object],[object Object],[object Object],[object Object],[object Object]
Solve these equations using the commutative property ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],n = 4 m = 5 z = 9 g = 11 s = 20 c = 32
The Identity Property of Addition ,[object Object],[object Object],[object Object],[object Object],[object Object]
Use the Identity Property of addition to solve these problems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],n = 8 b = 7 m = 3 v = 5 w = 4 r = 2
Subtraction Rules of zero ,[object Object],[object Object],[object Object],[object Object]
Find the value of n using the rules of subtraction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],n = 8 n = 9 n = 7 n = 9 n = 7 n = 5
Write an equation for these problems using a variable ,[object Object],[object Object],[object Object],72 + n = 99 or 99 – 72 = n 15 + 30 = n 4 x 25 = n

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Algebra II Equation Definitions

  • 2.
  • 3.
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  • 5. An Equation is like a balance scale. Everything must be equal on both sides. 10 5 + 5 =
  • 6. When the amounts are equal on both sides it is a true equation. 12 6 + 6 =
  • 7. When the amounts are unequal on both sides it is a false equation. 8 2 + 2 =
  • 8. When an amount is unknown on one side of the equation it is an open equation. 7 n + 2 =
  • 9. When you find a number for n you change the open equation to a true equation. You solve the equation. 7 n + 2 = 5
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