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2-6 solving Two-Step Equations What You’ll Learn To solve two step equations To solve two step equations
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Equations: Two-Step Two-step equations require students to perform two operations before solving the equation. Two-step equations require students to perform two operations before solving the equation. For example, the equation 3x - 3 = 18 requires adding 3 to both sides of the equation and dividing both sides of the equation by 3. For example, the equation 3x - 3 = 18 requires adding 3 to both sides of the equation and dividing both sides of the equation by 3.
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Example 1: Find the value of n in the equation 6n - 9 = 9 Step 1: In the equation, solve for the value of n by first getting n alone. Add +9 to both sides of the equation. Step 2: Divide both sides of the equation by 6.
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Example 2: Solve for t. t/8 + 3 = 12 Step 1: To get the variable alone, subtract 3 from both sides of the equation. Step 1: To get the variable alone, subtract 3 from both sides of the equation. Step 2: Isolate the 't' by multiplying by the reciprocal of 1/8, which is 8/1. Step 2: Isolate the 't' by multiplying by the reciprocal of 1/8, which is 8/1.
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Write and solve the equation The computer club sells 50 more than 3 times as many pins as the chess club. The computer club sell 134 pins. How many pins did the chess club sell? The computer club sells 50 more than 3 times as many pins as the chess club. The computer club sell 134 pins. How many pins did the chess club sell? Assign a variable Assign a variable P = pins sold by the chess club P = pins sold by the chess club Set up equation Set up equation 50 + 3p = 134 50 + 3p = 134 Solve equation Solve equation P = 28 pins sold by the chess club P = 28 pins sold by the chess club
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Class project Find a partner Find a partner Solve the following equations Solve the following equations Get all 4 right with the bonus get a free day Get all 4 right with the bonus get a free day
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Solve the following Equations A pair of boots cost $10 more than twice the cost of shoes. The boots cost $76.50. How much does the shoes cost? A pair of boots cost $10 more than twice the cost of shoes. The boots cost $76.50. How much does the shoes cost? Judy has read 3 fewer than 5 times as many books as Lisa. Judy read 17 books. How many did Lisa read?
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Solve the following Equations Three sisters are each less than 45 yrs old and the sum of their ages is 113 years. The mode of their age is 35. What is their ages? Three sisters are each less than 45 yrs old and the sum of their ages is 113 years. The mode of their age is 35. What is their ages? A movie ticket for an adult cost $8 and a child’s cost is $5.50. one adult is taking a group of children. If the chaperon has $35, how many children are in the group?
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Challenge Problem Survey of 40 shoppers Survey of 40 shoppers 12 like wheat brand cereal 12 like wheat brand cereal 23 like crunchy brand cereal 23 like crunchy brand cereal Twice as many dislike both brands as like both brands Twice as many dislike both brands as like both brands How many shoppers like both brands? How many shoppers like both brands?
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