Equations What is an equation? Has an equal sign (=) It can be solved It is balanced. Has variables, constants, coefficients, operations and sometimes.

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Presentation transcript:

Equations What is an equation? Has an equal sign (=) It can be solved It is balanced. Has variables, constants, coefficients, operations and sometimes parenthesis.

A solved equation has a standard form Standard form of a solved equation is: Number of steps to solve an equation and bring it to standard form: It can take just one step to solve an equation Two- steps to solve an equation Multi-steps to solve an equation and reduce it to its standard form Variable = constant. Variable = constant X = 5

Solve a one-step linear equation(with no exponents) Example: Solve 1. X + 5 = 10 Left Right Step one : First draw a border/line between both sides of the equal sign and label as left side and right side. X + 5 = 10 Step Two: Identify if the equation is in its standard form Step two : If “NO” Isolate the variable/Alphabet to the left side And move all the constants to right side. X + 5 = X = + 5 Step four: Now check again if it is in the standard form : If “yes” you have found your solution/solved your equation. IF “NO” repeat these steps until you get to the standard form. YES NO

Example two (TWO-STEP) 2X + 5 – X = 15 left right Step 1: Draw a line to separate the sides +2X + 5 – X = 15 Step 2: Identify if the equation is in standard form? If “NO” isolate the variable/combine like terms if terms are on the same side. Left right 2X + 5 – X = 15; The variable’s X are on the same side so combine. 1X + 5 = 15; Now is it in standard form? If “No” isolate the variable and move the + 5 to the right side 1X + 5 = = -5 1X = +10

Example 3(Simple multi-step) 4X X = 24 ; left right Step 1: Draw lines to separate the sides. 4X X = 24 Step 2: Check if it is in the standard form? “yes” or “ No” ; If No then Isolate the variable/ combine like terms if on the same side. left right +4X X = 24 ; combine 4x + 2x +6x + 6 = 24 ; check to see if in the standard form- “NO” repeat step 2(isolate the variable). + 6X + 6 = = X = + 18 Check if in standard form; “NO” then use multiplicative inverse

Continued… + 6X = + 18 use multiplicative inverse property to get rid of the co- efficient The multiplicative inverse of 6 is X = ; 6X = 18 = Check if in Check if in standard form (variable = constant); if “ yes” you have solved the equation/found the solution for X. 1 X = 3