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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

2. Solving Equations Using Addition or Subtraction

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Exercise 45 Page 257

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

11+k=29, k=18

Practice makes perfect

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

11 more than a number k equals 29.

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.

11 more than a numberk equals 29. ⇕ 11 more than a numberk = 29. On the left-hand side we have a key phrase: more than. This word tell us the operations that will be used in our equation. More than indicates addition. 11 more than a numberk 11 + k On the right-hand side, we only have a number 29. Putting these sides together, we have a complete equation. 11 + k = 29

Solving the Equation

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

11+k=29

LHS-11=RHS-11

11+k-11=29-11

CommutativePropAdd

Commutative Property of Addition

k+11-11=29-11

Subtract term

k=18

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