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 24 Page 95

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

13 13c- 1 12

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. - 2/3c - 9/5 + 14c + 3/10 ⇓ - 2/3c + ( - 9/5) + 14c + 3/10 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 c-terms and two constants. We will rearrange the expression according to the Commutative Property of Addition. Then, we will combine like terms to simplify the expression.
- 2/3c+(- 9/5)+14c+3/10
- 2/3c+14c+(- 9/5)+3/10
(- 2/3+14)c+(- 9/5)+3/10
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Add terms
(- 2/3+3* 14/3)c+(- 9/5)+3/10
(- 2/3+3* 14/3)c+(- 9* 2/5* 2)+3/10
(- 2/3+42/3)c+(- 18/10)+3/10
(- 2/3+42/3)c+- 18/10+3/10
- 2+42/3c+- 18+3/10
40/3c+- 15/10
40/3c+(- 15/10)
40/3c+(- 15Ă· 5/10Ă· 5)
40/3c+(- 3/2)
40/3c- 3/2
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Write fraction as a mixed number
39+1/3c- 2+1/2
(39/3+1/3)c- (2/2+1/2)
(13+1/3)c- (1+1/2)
13 13c- (1+1/2)
13 13c- 1 12