SECTION 1.8 Simplifying Expressions^73
35.Concept Check A student simplified
the expression as shown.WHAT WENT WRONG?Find the cor-
rect simplified answer.36.Concept Check A student simplified
the expression as shown.WHAT WENT WRONG?Find the cor-
rect simplified answer.= 20 x- 25= 514 x- 523 + 214 x- 523 + 214 x- 52= 3 x- 6= 7 x- 6 - 4 x= 7 x- 2132 - 212 x 27 x- 213 - 2 x 27 x- 213 - 2 x 2Simplify each expression. See Examples 1–3.
- 6 y^2 + 11 y^2 - 8 y^2 58.- 9 m^3 + 3 m^3 - 7 m^3
-
5
6
+ 8 x+1
6
x- 7 -7
6
-
4
3
+ 2 t+1
3
t- 8 -8
3
t1 + 7 x+ 11 x- 1 + 5 x -r+ 2 - 5 r+ 3 + 4 r- 10 +x+ 4 x- 7 - 4 x -p+ 10 p- 3 p- 4 - 5 p
16 - 5 m- 4 m- 2 + 2 m 6 - 3 z- 2 z- 5 +z- 3 z- 2 x+ 3 + 4 x- 17 + 20 r- 6 - 12 r- 4 + 6 r
- 5 y+ 3 - 1 + 5 +y- 7 2 k- 7 - 5 k+ 7 k- 3 - k
3 k+ 8 + 4 k+ 7 1 + 15 z+ 2 + 4 z- 4 z- 8 z 12 b+b 19 x+x
7 y+ 6 y 5 m+ 2 m - 6 x- 3 x3.Which is an example of a pair of like terms?
A. B. C. D.
4.Which is a correct translation for “six times a number, subtracted from the product of
eleven and the number” (if xrepresents the number)?
A. B. C. D.Simplify each expression. See Example 1.In each term, give the numerical coefficient of the variable(s). See Objective 2.24. 25. 10 26. 15
Identify each group of terms as likeor unlike. See Objective 3.
- 31.4, 9, - 24 32.7, 17, - 83 33.x, y 34.t, s
8 r, - 13 r - 7 x, 12x 5 z^4 , 9z^38 x^5 , - 10 x^38 x
92 x
5x
6x
2xw pq -x -t- 12 k - 11 y 3 m^29 n^6
6 + 14 - 3 x 2 - 8 - 12 + 17 - 8 x 2 + 6- 2 - 15 - 3 p 2 - 10 - 17 - 14 r 2
5 + 21 x- 3 y 2 8 + 31 s- 6 t 24 r+ 19 - 8 7 t+ 18 - 46 x- 11 x 11 x- 6 x 111 +x 2 - 6 x 6 x- 111 +x 26 t, 6w - 8 x^2 y, 9xy^25 ry, 6yr - 5 x^2 , 2x^3