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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 48 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.

84=c-99, c=183

Practice makes perfect

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

84 is 99 fewer than a number c.

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.

84 is 99 fewer than a numberc. ⇕ 84 = 99 fewer than a numberc. On the right-hand side we have a key phrase: fewer than. This word tell us the operations that will be used in our equation. Fewer than indicates subtraction. 99 fewer than a numberc c - 99 On the left-hand side, we only have a number 84. Putting these sides together, we have a complete equation. 84 = c - 99

Solving the Equation

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

84=c-99

LHS+99=RHS+99

84+99=c-99+99

Add terms

183=c

Rearrange equation

c=183

Subchapter links

Try It p.252-254

Self-Assessment for Concepts & Skills p.254

Self-Assessment for Problem Solving p.255

Review & Refresh p.256

Concepts, Skills, & Problem Solving p.256-258