Simplifying math problems help 10pts?

2017-05-12 12:21 pm
1) 6(4a^ + 11) - 13 (3a -2a^2) - 28
A) 50a ^2 + 39a - 38
B) -2a^2 - 39a + 94
C) -2a ^ + 39a - 94
D) 50a^2 - 39a + 38

2) 14f -5s + 6f - 20 + 17s - 2f
A) 18f - 12s - 20
B) 20f - 22s - 20
C) 20f - 22s - 20
D) 18f + 12s - 20

3)2.4 + 8.4q - 0.3q - 7.9
A) 8.1q + 5.5
B) -8.1q -5.5
C) 8.1q - 5.5
D)-8.1q + 5.5

回答 (1)

2017-05-12 1:12 pm
The distributive property can be used both ways--for getting rid of parentheses and for collecting terms.
1) 6(4a^2 + 11) - 13 (3a -2a^2) - 28
.. = 24a^2 +66 -39a +26a^2 -28
.. = (24 +26)a^2 -39a +(66 -28)
.. = 50a^2 -39a +38 . . . . . . selection D


2) 14f -5s + 6f - 20 + 17s - 2f
.. = (14 +6 -2)f +(-5 +17)s -20
.. = 18f +12s -20 . . . . . . . . selection D


3) 2.4 + 8.4q - 0.3q - 7.9
.. = (8.4 -0.3)q +(2.4 -7.9)
.. = 8.1q -5.5 . . . . . . . . . . . selection C


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