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Hallie wrote the expression 21m - 18n. McKenzie wrote an expression equivalent to Hallie's. Which expression could McKenzie have written?


3(7 m - 6 n)
2(6 m - 9 n)
3(7 m - 4 n)
12(2 m -  n)
 

Which of the following is equivalent to (5c - 2c)(d + 4)?


2 c - 8 d
3 cd + 2 c
3 cd + 12 c
3 c  2 d + 12 c
 
 

Which expression is equivalent to 6s + 4t - 5(s + t)?


s + 9 t
11 s - 9 t
11 s -  t
s -  t
 Dec 11, 2014

Best Answer 

 #1
avatar+23252 
+5

For the first question, start at the top and use the Distributive Law until you find one that works:

3(7m - 6n)  =  3(7) - 3(6m)  =                            <--- finish this

2(6m - 9n)  =  2(6m) - 2(9m)  =                         <--- finish this

(etc.)

Second question:  (5c - 2c)(d + 4)

   first:  simplify 5c - 2c = 3c --->  3c(d + 4)

   then, use the Distributive Law:  3c(d) + 3c(4)  =                 <--- finish this

Third question:  6s + 4t - 5(s + t)

                   =  6s + 4t - 5(s) - 5(t)

                   =  6s + 4t - 5s - 5t                             <--- finish this

 Dec 11, 2014
 #1
avatar+23252 
+5
Best Answer

For the first question, start at the top and use the Distributive Law until you find one that works:

3(7m - 6n)  =  3(7) - 3(6m)  =                            <--- finish this

2(6m - 9n)  =  2(6m) - 2(9m)  =                         <--- finish this

(etc.)

Second question:  (5c - 2c)(d + 4)

   first:  simplify 5c - 2c = 3c --->  3c(d + 4)

   then, use the Distributive Law:  3c(d) + 3c(4)  =                 <--- finish this

Third question:  6s + 4t - 5(s + t)

                   =  6s + 4t - 5(s) - 5(t)

                   =  6s + 4t - 5s - 5t                             <--- finish this

geno3141 Dec 11, 2014

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