8학년 2분기 시험

Solve for the variable.

1. 1
   $9n+9=18+6n$
2. 2
   $-2x+20=-x+19$
3. 3
   $-k+9=-7k+15$
4. 4
   $3-6w=33+4w$
5. 5
   $8(y+9)=3y+87$
6. 6
   $7(k+3)=19+6k$
7. 7
   $-7(n+1)=38+8n$
8. 8
   $-4(w+7)=3w-14$
9. 9
   $0.9m+9.1=0.2m+10.5$
10. 10
    $\frac{1}{4}x+1=\frac{11}{6}x-18$
11. 11
    $\frac{8}{5}n-3=\frac{7}{6}n+10$

Write one solution (and give it), no solution, or infinitely many solutions.

1. 12
   $-5p+5=25-7p$
2. 13
   $-5(m+7)=6m-57$
3. 14
   $9(x+4)=9x+35$

Write an equation and solve it.

1. 15
   Bike shop A rents bikes for $\text{\$}10.00$ plus $\text{\$}1.00$ an hour. Shop B charges $\text{\$}0.00$ plus $\text{\$}6.00$ an hour. For how many hours do the rentals cost the same?
2. 16
   Ava has $\text{\$}60.00$ and saves $\text{\$}8.00$ a week. Ben has $\text{\$}12.00$ and saves $\text{\$}14.00$ a week. After how many weeks will they have the same amount?

Solve for the variable.

1. 17
   $2+6p=-5p+13$
2. 18
   $6(y-1)=2(y-1)-44$
3. 19
   $-8k+6=-9k+5$

Solve each inequality.

1. 20
   $9p-8+7p\le 104$
2. 21
   $6(k-6)+2>20$
3. 22
   $-2x-9+6x>-41$
4. 23
   $3(m-9)+11>17$
5. 24
   $8k+12\le 45-3k$
6. 25
   $6p-1>-28-3p$
7. 26
   $-8p-16>9p-186$

Write an inequality and solve it. Answer with a whole number.

1. 27
   A van can carry at most $1,500$ pounds. The driver weighs $220$ pounds and each box weighs $30$ pounds. What is the greatest number of boxes the van can carry with the driver?
2. 28
   Mia wants at least $\text{\$}320.00$ for a bike. Mia has $\text{\$}89.00$ and earns $\text{\$}13.00$ an hour. What is the least number of hours Mia must work?

Solve each inequality.

1. 29
   $-x-4>-67-8x$
2. 30
   $9x+17\ge 32+6x$