Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
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Exercise 14 Page 276

The word is divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the equation.

Equation: 82=24-b
Solution: b=106

Practice makes perfect

We have been given a sentence and we need to translate it into an equation.

82 is the difference of a number b and 24.

Every equation has an equals sign and values or expressions on either side of it. Key phrases, such as is, is equal to, and equals tell us about the placement of the equals sign.

82 is the difference of a numberband24. ⇕ 82 = the difference of a numberband24. On the right-hand side we have one key word: difference. This words tell us the operation that will be used in our equation. The difference indicates subtraction. The difference of a numberb and 24 b - 24 On the left-hand side, we have the number 82. Putting these sides together, we have a complete equation. 82 = b - 24

Solving the Equation

Finally, we can solve the equation using the Properties of Equality.
82=b-24
82+24=b-24+24
106=b
b=106