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G6 m4-g-lesson 25-s
1.
Lesson 25: Find
Solutions to Make Equations True Date: 4/23/14 S.107 107 © 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 25 Lesson 25: Find Solutions to Make Equations True Classwork Opening Exercise Identify a value for the variable that would make each equation or inequality into a true number sentence. Is this the only possible answer? State when the equation or inequality is true using equality and inequality symbols. 1. 3 + 𝑔 = 15 2. 30 > 2𝑑 3. 15 𝑓 > 5 4. 42 ≤ 50 − 𝑚
2.
Lesson 25: Find
Solutions to Make Equations True Date: 4/23/14 S.108 108 © 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 25 Example 1 Each of the following numbers, if substituted for the variable, makes one of the equations below into a true number sentence. Match the number to that equation: 3, 6, 15, 16, 44. a. 𝑛 + 26 = 32 b. 𝑛 − 12 = 32 c. 17𝑛 = 51 d. 42 = 𝑛 e. 𝑛 3 = 5
3.
Lesson 25: Find
Solutions to Make Equations True Date: 4/23/14 S.109 109 © 2013 Common Core, Inc. Some rights reserved. commoncore.org This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. NYS COMMON CORE MATHEMATICS CURRICULUM 6•4Lesson 25 Lesson Summary Variable: A variable is a symbol (such as a letter) that represents a number (i.e., it is a placeholder for a number). A variable is a placeholder for “a” number that does not “vary.” Expression: An expression is a numerical expression, or a result of replacing some (or all) of the numbers in a numerical expression with variables. Equation: An equation is a statement of equality between two expressions. If 𝐴 and 𝐵 are two expressions in the variable 𝑥, then 𝐴 = 𝐵 is an equation in the variable 𝑥. Problem Set Find the solution to each equation. 1. 43 = 𝑦 2. 8𝑎 = 24 3. 32 = 𝑔 − 4 4. 56 = 𝑗 + 29 5. 48 𝑟 = 12 6. 𝑘 = 15 − 9 7. 𝑥 ∙ 1 5 = 60 8. 𝑚 + 3.45 = 12.8 9. 1 = 𝑎5
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