Multiplication and Division

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Presentation transcript:

Multiplication and Division One Step Equations Multiplication and Division

What is an equation? An equation is a mathematical sentence that contains an equal sign ( = ) 5n = 25 5n 25

How do you SOLVE an equation? To solve an equation, replace the variable with a number that makes the equation true. This number is a solution.

Using Substitution to determine the solution. Is 12 the solution to the equation 3x = 36 3x = 36 3(12) = 36 Substitute x with 12 36 ≠ or = 36 The equation is _______. 12 is or is not the solution to 3x = 36

State whether the given number is a solution to the equation State whether the given number is a solution to the equation. (yes or no) y ÷ 6 = 4 y = 24 ________ 2) 20 = 5p p = 3 ________ 3) 45 = k k = 9 ________ 5 4) 8j = 56 j = 7 ________

Solving Equations How do you solve an equation? How do we determine the value of the variable? **Algebra Tiles** **inverse Operation**

Algebra Tiles 2x = 6 = MODEL THE EQUATION

Algebra Tiles 2x = 6 = = Isolate the variables: EACH Variable has to have the same number of tiles!

Algebra Tiles 2x = 6 x = 3 Find the Solution

Inverse Operation What is the inverse operation of multiplication? 2x = 6 2 2 x = 3 Remember an equation is a balance. If you do something to one side you MUST do it to the other.

Solve the equation: 4x = 8 ALGEBRA TILES MODEL: = SOLUTION = X = ______

Solve the equation: j ÷ 3 = 4 ALGEBRA TILES MODEL: = Solution: j = ______ IF you Divide you must divide the variable!

Solve each equation w ÷ 8 = 3 w = ______ 2n = 22 n = ______ = 9 k = _______ 4) 13m = 52 m = ______

???????? What about problems with larger numbers? What about problems with fractions? What about problems with decimals? *You can use the SAME methods to solve those!

5) j ÷ 4.4 = 28.2 j = _______ 6) 0.6y = 1.86 y = _______ 7) g = g = ________ 8) = h = ________