1. 某班原来有 x 人,这个学期有 2 人转学到其他学校,现在有( )人。
答案
x-2
2. 阅览室原来有 x 本书,新进 240 本,现在共有( )本书。
答案
x+240
3. 校园里有 x 棵杨树,柳树比杨树少 5 棵,柳树有( )棵。
答案
x-5
4. 小李带 80 元买了 5 支钢笔,每支钢笔 x 元,还剩( )元。
答案
80-5x
5. 花园里月季花的棵数是菊花棵数的 3 倍,菊花有 x 棵。菊花和月季花一共有( )棵,月季花比菊花多( )棵,菊花比月季花少( )棵。
答案
4x 2x 2x
二、在后面的( )里圈出下面方程的解。
1. $x - 33 = 44$ ($x = 11$,$x = 77$)
2. $5x = 30$ ($x = 6$,$x = 150$)
3. $15 + 2x = 45$ ($x = 15$,$x = 30$)
4. $6 ÷ x = 3$ ($x = 2$,$x = 18$)
5. $8x - 3x = 20$ ($x = 4$,$x = 80$)
1. $x - 33 = 44$ ($x = 11$,$x = 77$)
2. $5x = 30$ ($x = 6$,$x = 150$)
3. $15 + 2x = 45$ ($x = 15$,$x = 30$)
4. $6 ÷ x = 3$ ($x = 2$,$x = 18$)
5. $8x - 3x = 20$ ($x = 4$,$x = 80$)
答案
1. x=77 2. x=6 3. x=15 4. x=2 5. x=4
三、解方程。(带★的要写出检验的过程)
$3.6x + 8.5 = 22.9$
★$5x - 7.3 = 7.7$
$7x + 4×3.5 = 24.5$
★$4(x + 4.5) = 20$
$5.3x - 2x = 1.32$
★$x - 0.38x = 1.24$
$3.6x + 8.5 = 22.9$
★$5x - 7.3 = 7.7$
$7x + 4×3.5 = 24.5$
★$4(x + 4.5) = 20$
$5.3x - 2x = 1.32$
★$x - 0.38x = 1.24$
答案
3.6x + 8.5 = 22.9 解:x=4;★5x - 7.3 = 7.7 解:x=3(检验略);7x + 4×3.5 = 24.5 解:x=1.5;★4(x + 4.5) = 20 解:x=0.5(检验略);5.3x - 2x = 1.32 解:x=0.4;★x - 0.38x = 1.24 解:x=2(检验略)
解析
3.6x + 8.5 = 22.9
解:3.6x = 22.9 - 8.5
3.6x = 14.4
x = 14.4 ÷ 3.6
x = 4
★5x - 7.3 = 7.7
解:5x = 7.7 + 7.3
5x = 15
x = 15 ÷ 5
x = 3
检验:把x = 3代入方程左边,5×3 - 7.3 = 15 - 7.3 = 7.7,右边=7.7,左边=右边,所以x = 3是方程的解
7x + 4×3.5 = 24.5
解:7x + 14 = 24.5
7x = 24.5 - 14
7x = 10.5
x = 10.5 ÷ 7
x = 1.5
★4(x + 4.5) = 20
解:x + 4.5 = 20 ÷ 4
x + 4.5 = 5
x = 5 - 4.5
x = 0.5
检验:把x = 0.5代入方程左边,4×(0.5 + 4.5) = 4×5 = 20,右边=20,左边=右边,所以x = 0.5是方程的解
5.3x - 2x = 1.32
解:3.3x = 1.32
x = 1.32 ÷ 3.3
x = 0.4
★x - 0.38x = 1.24
解:0.62x = 1.24
x = 1.24 ÷ 0.62
x = 2
检验:把x = 2代入方程左边,2 - 0.38×2 = 2 - 0.76 = 1.24,右边=1.24,左边=右边,所以x = 2是方程的解
解:3.6x = 22.9 - 8.5
3.6x = 14.4
x = 14.4 ÷ 3.6
x = 4
★5x - 7.3 = 7.7
解:5x = 7.7 + 7.3
5x = 15
x = 15 ÷ 5
x = 3
检验:把x = 3代入方程左边,5×3 - 7.3 = 15 - 7.3 = 7.7,右边=7.7,左边=右边,所以x = 3是方程的解
7x + 4×3.5 = 24.5
解:7x + 14 = 24.5
7x = 24.5 - 14
7x = 10.5
x = 10.5 ÷ 7
x = 1.5
★4(x + 4.5) = 20
解:x + 4.5 = 20 ÷ 4
x + 4.5 = 5
x = 5 - 4.5
x = 0.5
检验:把x = 0.5代入方程左边,4×(0.5 + 4.5) = 4×5 = 20,右边=20,左边=右边,所以x = 0.5是方程的解
5.3x - 2x = 1.32
解:3.3x = 1.32
x = 1.32 ÷ 3.3
x = 0.4
★x - 0.38x = 1.24
解:0.62x = 1.24
x = 1.24 ÷ 0.62
x = 2
检验:把x = 2代入方程左边,2 - 0.38×2 = 2 - 0.76 = 1.24,右边=1.24,左边=右边,所以x = 2是方程的解
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