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Solving Equations and Inequalities; Inverse Operations
x + 23 = 35 • Remember, we must learn to solve equations in order for us to solve real world problems. • If I need $35 to buy a game I want and I already have $23, how much more money do I need to save?
• We will learn another way to solve equations. We have already studied using the inverse operations and the balance method. • Today we will look at the arrow method. You can decide which method you like best. • Turn to page 139 in their student binders.
Arrow Method Steps: • Start with the variable and write it on the left side of the diagram. • Write the number closest to the variable and the operation at the top of the arrow. • Write the number that the equation is equal to on the right side of the diagram. • Write the inverse operation of the number at the bottom of the arrow. • Solve for the variable.
Let’s look at how this works! • Page 139 in the Student binders • Page 150 in the teacher binder
Your turn to try it on your own! • • • 9 x = 63 y – 59 = 13 a/75 = 15 32 + a = 111 z/56 = 14 6 a = 108
Test-Taking Strategy • On a multiple choice test the answer choices may be substituted in the equation to find the solution to a difficult problem.
Example: 50 – x + 2 = 14 • a. 18 50 – (18) + 2 = 14 • b. 28 50 – (28) + 2 = 14 • c. 38 50 – (38) + 2 = 14 • d. 48 50 – (48) + 2 = 14
Closure: • Raise your hand if you can tell me what you have learned about equations so far?
Homework for the week: 267 + y = 573 z – 24 = 13 a ÷ 42 = 6 ? • 4 = 48 x + 3 = 12 y – 2. 8 = 9 2 • 4=7+z 2½+y=6 9 a = 31. 5 y/13 = 7
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