Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
3. Properties of Addition and Multiplication
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Exercise 41 Page 220

What operation does the sum of represent?

Expression: 7+(x+5)
Simplified Expression: x+12

Practice makes perfect
We are asked to write an algebraic expression for the given verbal expression. The key phrase in the verbal expression is ... plus ... and the sum of ...and.... This indicates that we should make an addition two times. ... + ... + ... The first two terms that we need to add together are a numberx and 5. Since a numberx comes first in the verbal expression, it should be on the left-hand side of the addition. x + 5 The other key phrase is 7 plus .... This means that we need to add the above expression to 7. Because we are adding an expression to a number, we can use parentheses. Since 7 comes first in the verbal expression, it should be on the left-hand side of the addition. 7 + ( x + 5) Finally, we can simplify this expression by using the Commutative Property of Addition. This will help us to have together the like terms. Then, we can use the Associative Property of Addition.
7+(x+5)
(x+5)+7
x+(5+7)
x+12