Solving One Step Equations with Multiplication

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Presentation transcript:

Solving One Step Equations with Multiplication

Solving One Step Equations with Addition and Subtraction Review: Try these - Show all work and check your solutions. 1.) y – 90 = 100 2.) q + 13 = 40 3.) 18 = 17 + x 4.) 35 = a + 12

Solving One Step Equations with Multiplication Note: * To solve equations with multiplication, you need to divide both sides by the coefficient of the variable. * Remember, what you do to one side of an equation, you must do to the other. = 3 gold pouches = 6 coins How many coins are in each pouch? 3x = 6 3 3 x = 2 This means that each pouch has 2 coins in it. Original equation Divide (inverse operation) both sides by 3 to isolate the x. Check: 3x = 6 3(2) = 6 6 = 6 Solution Original equation Substitute your answer to check to see if the two sides are equal. Yes, it does

Solving One Step Equations with Multiplication Example 2: 12x = 36 12 12 x = 3 Note: * To solve equations with multiplication, you need to divide both sides by the coefficient of the variable. * Remember, what you do to one side of an equation, you must do to the other. Original equation Divide (inverse operation) both sides by 12 to isolate the x. Solution Check: 12x = 36 12(3) = 36 36 = 36 Original equation Substitute your answer to check to see if the two sides are equal.

Solving One Step Equations with Multiplication Try these: Show all work and check your solutions. 1.) 3x = 12 2.) 84 = 12y 3.) 3g = 39 Check: Check: Check:

Solving One Step Equations with Multiplication Real-Life Application Gabe and some friends shared the cost of food that they ordered from a local pizza restaurant. If the total was $42 and each person contributed $6, how many people shared the cost of the food? Set up and solve an equation to find the answer. Verbal Story Algebraic Equation

Solving One Step Equations with Multiplication Real-Life Application The area of a rectangle is 36 square inches. If its length is 9 inches, what is its width? Set up and solve an equation to find the answer. Verbal Story Algebraic Equation