Equations

An equation is a mathematical statement that shows 2 quantities are equal. An equation contains an equal sign. 12 – 3 = 9 Numerical 3a = 30 Algebraic Equations

Equations Equals Sign (=) Means that the amount is the same on both sides = 6 5 – 2 = 3

An Equation is like a balance scale. Everything must be equal on both sides = Equations

When the amounts are equal on both sides it is a true equation = Equations

When the amounts are unequal on both sides it is a false equation = Equations

When an amount is unknown on one side of the equation it is an open equation. 7 n + 2 = Equations

When you find a number for n you change the open equation to a true equation. You solve the equation. 7 n + 2 = 5 Equations

Are these equations true, false or open? = = 17 N + 4 = 7 12 – 3 = v = – 6 = 9 false true open false open true Equations

An equation i s a statement of equality between two quantities. x + 2 = 5 “ is the same as ” =x + 25 fulcrum Equations

=x + 25 Could x equal 6? Equations

= Could x equal 6? Equations

= Could x equal 6? Equations

= Could x equal 6? Equations

= Could x equal 6? Equations

=x + 25 What does x equal? Equations Solution : x = 3

= + 25 What does x equal? Equations Solution : x = 3 3

Equations A solution is the final answer to an equation, or the value of the variable. Example: 3a = 30 a = 10 is the solution

Equations Is x = 5 a solution? ? ?

Equations Is x = 6 a solution? ? ?

Equations Inverse operation – the opposite operation used to undo the first = 7 7 – 4 = 3 6 x 6 = 36 / 6 = 6

Equations How to solve an addition equation Use the inverse operation for addition which is subtraction m + 8 = = 4 m = =

Equations How to solve an subtraction equation Use the inverse operation for subtraction which is addition m - 3 = = 8 m = = 5

Equations Solve these equations using the inverse operations n + 4 = 7 n – 5 = 4 n + 4 = 17 n – 6 = 13 n + 7 = 15 n – 8 =

Equations Solve these equations using the inverse operations 1) 2)

Equations Solve these equations using the inverse operations 3) 4)

Equations Solve these equations using the inverse operations 5) 6)

Equations Take Out Your Study Guide!!!

Equations An equation is a mathematical statement that shows 2 quantities are equal. An equation contains an equal sign. #1 12 – 3 = 9 Numerical 3a = 30 Algebraic To solve any equation use inverse operations. Your goal is to get the variable all by itself.

SOLUTION A solution is the final answer to an equation, or the value of the variable. #2 Example: 3a = 30 a = 10 is the solution

Extra

Equations An equation is a mathematical statement that shows 2 quantities are equal. An equation contains an equal sign. #1 12 – 3 = 9 Numerical 3a = 30 Algebraic

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