1.7 Intro to Solving Equations Objective(s): 1.) to determine whether an equation is true, false, or open 2.)to find solutions sets of an equation 3.)to recognize equivalent equations

Vocabulary Equation: Mathematical sentence that uses an equal sign to state that two expressions represent the same number. 3 types of Equations: True: = 10 False: 3 – 7 = 10 OPEN: equation that contains at least one variable: m + 9 = 210

Vocabulary Solution: a replacement number for a variable that makes an equation true. 5 is a solution for the equation x + 3 = 8. Solution Set: The collection of all solutions to an equation

To see if a given number is a solution for an equation… Substitute the number in for the variable If right= left then it is true If right left then it is false

Ex 1: Is 7 a solution for the equation 3k + 2 = = 23 is TRUE

Ex 2: Is 6 a solution for the equation 5r – 9 = = 21 Not a solution

To solve for the given replacement set… Plug all numbers given in the replacement set into the equation Which ever # makes the right=left is the correct answer.

Ex 3: Solve for the given replacement set: Substitute each number to find which one(s) work.

Ex 4: Solve for the given replacement set:

Equivalent Equations Two equations are equivalent if one can be changed into the other by: Add the same number to both sides of the equation. Subtract the same number from both sides. Multiply both sides by the same number. Divide both sides by the same number

Ex 5:Each pair of equations is equivalent. What was done to the first equation to get the second one? x + 2 = 5 x + 7 = 10 Added 5 to both sides

Ex 6: Each pair of equations is equivalent. What was done to the first equation to get the second one? k - 4 = 7 k = 11 Added 4 to both sides

Homework Page 36 (1-9, 19-27) all