Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Algebraic Expressions
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Exercise 12 Page 93

Remember that only like terms can be combined. An expression in simplest form has no like terms and parentheses.

15/10n-3

Practice makes perfect
An expression in simplest form has no like terms and parentheses. Let's first rewrite this expression as a sum to identify all like terms. 4/5n - 3 + 7/10n ⇓ 4/5n + ( - 3) + 7/10n Remember that like terms — constant terms or terms with the same variable and the same exponent — can be combined. In this case, we have two n-terms and one constant. Only the n-terms can be combined. We will rearrange the expression according to the Commutative Property of Addition. Then, we will combine like terms to simplify the expression.
4/5n+(- 3)+7/10n
4/5n+7/10n+(- 3)
(4/5+7/10)n+(- 3)
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Add fractions
(4*2/5*2+7/10)n+(- 3)
(8/10+7/10)n+(- 3)
(8+7/10)n+(- 3)
(15/10)n+(- 3)
15/10n+(- 3)
15/10n-3