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1. 下列方程中,属于一元一次方程的是 (
A.$x^2 + x = 2$
B.$2x + 3y = 2$
C.$\frac{1}{2}x - 9 = 2$
D.$\frac{2}{x + 1} = 2$
C
)A.$x^2 + x = 2$
B.$2x + 3y = 2$
C.$\frac{1}{2}x - 9 = 2$
D.$\frac{2}{x + 1} = 2$
答案：
C
2. 下列方程中,以$x = -2$为解的方程是 (
A.$3x + 1 = 2x - 1$
B.$3x - 2 = 2x$
C.$5x - 3 = 6x - 2$
D.$4x - 1 = 2x$
A
)A.$3x + 1 = 2x - 1$
B.$3x - 2 = 2x$
C.$5x - 3 = 6x - 2$
D.$4x - 1 = 2x$
答案：
A
3. 已知$x = 3是方程x + 2a = -1$的解,那么$a$的值是 (
A.2
B.1
C.0
D.-2
D
)A.2
B.1
C.0
D.-2
答案：
D
4. 解方程$\frac{x}{3} = 1 - \frac{x - 1}{5}$时,去分母正确的是 (
A.$5x = 1 - 3(x - 1)$
B.$x = 1 - (3x - 1)$
C.$5x = 15 - 3(x - 1)$
D.$5x = 3 - 3(x - 1)$
C
)A.$5x = 1 - 3(x - 1)$
B.$x = 1 - (3x - 1)$
C.$5x = 15 - 3(x - 1)$
D.$5x = 3 - 3(x - 1)$
答案：
C
5. 下列说法错误的是 (
A.若$a = b$,则$a + c = b + c$
B.若$a = b$,则$a - c = b - c$
C.若$a = b$,则$ac = bc$
D.若$a = b$,则$\frac{a}{c} = \frac{b}{c}$
D
)A.若$a = b$,则$a + c = b + c$
B.若$a = b$,则$a - c = b - c$
C.若$a = b$,则$ac = bc$
D.若$a = b$,则$\frac{a}{c} = \frac{b}{c}$
答案：
D
6. 某商品按标价打八折后,再降价12元,售价为108元.若设标价为$x$元,则可列方程为 (
A.$x - 0.8x - 12 = 108$
B.$0.08x - 12 = 108$
C.$0.8x - 12 = 108$
D.$108 - 0.8x = 12$
C
)A.$x - 0.8x - 12 = 108$
B.$0.08x - 12 = 108$
C.$0.8x - 12 = 108$
D.$108 - 0.8x = 12$
答案：
C
7. 《算法统宗》中有一道题,其题大意为：客人一起分银子,若每人7两,还剩4两；若每人9两,还差8两.问客人有几人.设客人有$x$人,则可列方程为 (
A.$7x + 4 = 9x - 8$
B.$7x - 4 = 9x + 8$
C.$\frac{x + 4}{7} = \frac{x - 8}{9}$
D.$\frac{x - 4}{7} = \frac{x + 8}{9}$
A
)A.$7x + 4 = 9x - 8$
B.$7x - 4 = 9x + 8$
C.$\frac{x + 4}{7} = \frac{x - 8}{9}$
D.$\frac{x - 4}{7} = \frac{x + 8}{9}$
答案：
A
8. 幻方,最早源于我国,古人称之为纵横图.如图所示的幻方中,每一行、每一列及各条对角线上的三个数之和均相等,则$m$的值为 (
A.30
B.26
C.19
D.16
D
)A.30
B.26
C.19
D.16
答案：
D
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