化简下列式子,并在x=3,a=-1,b=-2时求值
$(i)$. $3x-5-x+9$
$(ii)$. $2-8x+4x+4$
$(iii)$. $3a+5-8a+1$
$(iv)$. $10-3b-4-5b$
$(v)$. $2a-2b-4-5+a$
已知: $(i)$. $3x-5-x+9$
$(ii)$. $2-8x+4x+4$
$(iii)$. $3a+5-8a+1$
$(iv)$. $10-3b-4-5b$
$(v)$. $2a-2b-4-5+a$
要求:化简这些表达式,并在x=3,a=-1,b=-2时求值。
解答
$(i)$ $3x-5-x+9$
$=2x+4$
如果 $x=3$
$=2(3)+4$
$=6+4$
$=10$
$(ii)$. $2-8x+4x+4$
$=-8x+4x+4+2$
$=-4x+6−4x+6$
$=-4(3)+6$ [如果 $x=3$]
$=-6$
$(iii)$. $3a+5-8a+1$
$=3a-8a+5+1$
$=-5a+6$
$=-5(-1)+6$
$=5+6$
$=11$
$(iv)$. $10-3b-4-5b$
$=6-8b$
$=6-8(-2)$ [$b=-2$]
$=6 - 8(-2)$
$=6+ 16$
$=22$
$(v)$. $2a-2b-4-5+a$
$=2a+a-2b-4-5$
$=3a+2b-9$
如果 $a=-1$ 和 $b=-2$
$=3(-1) - 2(-2) - 9$
$=-3+4 -9$
$=-8$
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