※中学1年生向け「方程式」について,このサイトには次の教材があります. この頁へGoogleやYAHOO ! などの検索から直接来てしまったので「前提となっている内容が分からない」という場合や「この頁は分かったがもっと応用問題を見たい」という場合は,他の頁を見てください. が現在地です. ↓等式の性質 ↓検算の仕方 ↓方程式の解き方(1) ↓同(2)基本の反復練習 ↓同(3)弱点克服 ↓同(4)移項と割り算 ↓同(5)移項と割り算-現在地 ↓同(6)かっこ、小数、分数 ↓同(7)かっこ ↓同(8)かっこ,分数 ↓同(9)分数(詳しい解説) ↓同(10)分数 ↓同(11)分数 ↓同(12)分数 ↓方程式の文章題(1) ↓同(2) ↓同(3)速度 ↓同(4)未知数の選択 ↓同(5)食塩水の濃度 ↓食塩水の濃度 鶴亀算など ![]() ![]() |
【問題】 次の方程式を解きなさい。(答案は半角の数字で入力すること) (A)から(B)へ直接行く考え方「移項」に慣れるようにしましょう.
x+5=8 …(A)「移項」では,=を渡るときには,必ず符号を変えなければなりません. 両辺から5を引きます. x+5−5=8−5 左辺の+5−5を0にして消します x=8−5 …(B) x=3
2x=10
両辺を2で割ります. 2x÷2=10÷2 x=5 (A)から(B)へ直接行く考え方「移項」に慣れるようにしましょう.
2x−6=8 …(A)「移項」では,=を渡るときには,必ず符号を変えなければなりません. 両辺に6を足します 2x−6+6=8+6 2x=8+6 …(B) 2x=14 両辺を2で割ります 2x÷2=14÷2 x=7
5x+3=3x−7
左辺の 3 を右辺に移項する. 5x=3x−7−3 5x=3x−10 右辺の 3x を左辺に移項する. 5x−3x=−10 2x=−10 両辺を x の係数の 2 で割る. x=−5
17−4x=8+5x
左辺の 17 を右辺に移項する. −4x=8+5x−17 −4x=5x −9 右辺の 5x を左辺に移項する. −4x −5x= −9 −9x= −9 両辺を x の係数の −9 で割る. x=1 |
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