Grade 8 Quarter 2 Test

Solve for the variable.

1. 1
   $6p+22=25+5p$
2. 2
   $24-7x=-6x+31$
3. 3
   $-6k+11=8k-59$
4. 4
   $-8k-11=2k+49$
5. 5
   $7(x+4)=3x+64$
6. 6
   $5(w-9)=-8w-32$
7. 7
   $-2(w+3)=-38-6w$
8. 8
   $9(w+7)=8w+54$
9. 9
   $0.5w+9.5=1.2w+8.8$
10. 10
    $\frac{2}{3}p+5=\frac{3}{2}p$
11. 11
    $\frac{1}{2}y-2=\frac{3}{4}y-5$

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

1. 12
   $2w-3=-8w+47$
2. 13
   $7n-63-14n=-7n-63$
3. 14
   $5k+4=-8k-87$

Write an equation and solve it.

1. 15
   Bike shop A rents bikes for $\text{\$}15.00$ plus $\text{\$}4.00$ an hour. Shop B charges $\text{\$}12.00$ plus $\text{\$}5.00$ an hour. For how many hours do the rentals cost the same?
2. 16
   Candle A is $32$ cm tall and burns $4$ cm per hour. Candle B is $20$ cm tall and burns $1$ cm per hour. After how many hours will they be the same height?

Solve for the variable.

1. 17
   $-3w+16=6w+97$
2. 18
   $-8(n+2)=2(n+1)-38$
3. 19
   $1.4x+1.9=0.3x-1.4$

Solve each inequality.

1. 20
   $7n+13+9n<93$
2. 21
   $8k+1+7k\le -44$
3. 22
   $7n+15-n<57$
4. 23
   $-5p-2+3p\le -28$
5. 24
   $k-6>-26-k$
6. 25
   $-5m+13\le -9m+1$
7. 26
   $-4n+1\le 5n+127$

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

1. 27
   A van can carry at most $1,100$ pounds. The driver weighs $160$ pounds and each box weighs $55$ pounds. What is the greatest number of boxes the van can carry with the driver?
2. 28
   Leo needs an average of at least $82$ on four tests. Leo's first three scores are $83$, $78$, and $75$. What is the least score Leo can get on the fourth test?

Solve each inequality.

1. 29
   $6x+12<96-8x$
2. 30
   $9y+4>-68+3y$