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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 46 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.

p-19=6, p=25

Practice makes perfect

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

A number p increased by 19 is 6.

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. A number p decreased by19 is 6. ⇕ A number p decreased by19 = 6. On the left-hand side we have a key phrase: decreased by. This word tell us the operations that will be used in our equation. Decreased by indicates subtraction. A numberp decreased by 19 p - 19 On the right-hand side, we only have a number 6. Putting these sides together, we have a complete equation. p - 19 = 6

Solving the Equation

Finally, we can solve the equation using the Properties of Equality.

p-19=6
AddEqn

LHS+19=RHS+19

p-19+19=6+19
AddTerms

Add terms

p=25
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