Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Solving Equations Using Addition or Subtraction
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Exercise 47 Page 257

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.

46=18+d, d=28

Practice makes perfect

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

46 is the total of 18 and a number d.

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.

46 is the total of 18 and a numberd. ⇕ 46 = the total of 18 and a numberd. On the right-hand side we have a key phrase: the total of. This word tell us the operations that will be used in our equation. The total of indicates addition. The total of 18 and a numberd 18 + d On the left-hand side, we only have a number 46. Putting these sides together, we have a complete equation. 46 = 18 + d

Solving the Equation

Finally, we can solve the equation using the Properties of Equality.
46=18+d
46-18=18+d-18
46-18=d+18-18
28 = d
d=28