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Chapter 2: Problem 2

Rewrite each expression by combining like terms. A \(14 x-8 x+7 y+5 y\) B. \(2 s+11 t+9 s+3 t+14\) C. \(10 x+8 y+2 x-6 y\) D. \(5 b+12 t+t+9 b-6\) E. \(27 p+39 n+12 p+2 n+5 n\) F. \(252 w-181 w+130 z+65 z+175 y-88 y\)

Short Answer

Expert verified
Question: Rewrite each expression by combining like terms. A. \(14x - 8x + 7y + 5y\) B. \(2s + 11t + 9s + 3t + 14\) C. \(10x + 8y + 2x - 6y\) D. \(5b + 12t + t + 9b - 6\) E. \(27p + 39n + 12p + 2n + 5n\) F. \(252w - 181w + 130z + 65z + 175y - 88y\) Simplified Expressions: A. \(6x + 12y\) B. \(11s + 14t + 14\) C. \(12x + 2y\) D. \(14b + 13t - 6\) E. \(39p + 46n\) F. \(71w + 195z + 87y\)

Step by step solution

01

Expression A

To simplify the expression \(14x - 8x + 7y + 5y\), we'll combine the terms with the same variables: \(14x - 8x + 7y + 5y = (14-8)x + (7+5)y= 6x + 12y\) So, the simplified expression A is \(6x + 12y\).
02

Expression B

To simplify the expression \(2s + 11t + 9s + 3t + 14\), we'll combine the terms with the same variables: \(2s + 11t + 9s + 3t + 14 = (2+9)s + (11+3)t + 14= 11s + 14t + 14\) So, the simplified expression B is \(11s + 14t + 14\).
03

Expression C

To simplify the expression \(10x + 8y + 2x - 6y\), we'll combine the terms with the same variables: \(10x + 8y + 2x - 6y = (10+2)x + (8-6)y= 12x + 2y\) So, the simplified expression C is \(12x + 2y\).
04

Expression D

To simplify the expression \(5b + 12t + t + 9b - 6\), we'll combine the terms with the same variables: \(5b + 12t + t + 9b - 6 = (5+9)b + (12+1)t - 6= 14b + 13t - 6\) So, the simplified expression D is \(14b + 13t - 6\).
05

Expression E

To simplify the expression \(27p + 39n + 12p + 2n + 5n\), we'll combine the terms with the same variables: \(27p + 39n + 12p + 2n + 5n = (27+12)p + (39+2+5)n= 39p + 46n\) So, the simplified expression E is \(39p + 46n\).
06

Expression F

To simplify the expression \(252w - 181w + 130z + 65z + 175y - 88y\), we'll combine the terms with the same variables: \(252w - 181w + 130z + 65z + 175y - 88y = (252-181)w + (130+65)z + (175-88)y= 71w + 195z + 87y\) So, the simplified expression F is \(71w + 195z + 87y\).

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Most popular questions from this chapter

Translate the following verbal rules into symbolic rules using \(x\) as the input and \(y\) as the output variable. a. The output is ten more than the input. b. The output is the sum of the input and 12 c. The output is five less than the input. d. The output is six times the input. e. The output is three less than six times the input. f. The output is six times the difference of the input and three. g. The output is 25 less than the input squared.
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Translate each statement into an equation and then solve the equation for the unknown number. 13 plus an unknown number is equal to 51.
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