Unit Review: Multi-step inequalities

R.1R.2Solve each inequality.

1. 1
   $3(p+7)+8<11$
2. 2
   $p-6+8p\le -42$
3. 3
   $5n+2+2n\le 51$
4. 4
   $2k-10+7k\le 8$
5. 5
   $8m+13>-6m+55$
6. 6
   $-7x-2<8x-62$
7. 7
   $-16-y<-8y-51$
8. 8
   $18+2k>-6k+10$

R.3Write an inequality and solve it. Answer with a whole number.

1. 9
   Leo needs an average of at least $84$ on four tests. Leo's first three scores are $78$, $81$, and $79$. What is the least score Leo can get on the fourth test?

R.3Write an inequality and solve it. Answer with a whole number. (continued)

1. 10
   Leo needs an average of at least $81$ on four tests. Leo's first three scores are $85$, $81$, and $73$. What is the least score Leo can get on the fourth test?
2. 11
   Leo needs an average of at least $84$ on four tests. Leo's first three scores are $89$, $94$, and $74$. What is the least score Leo can get on the fourth test?
3. 12
   Leo needs an average of at least $83$ on four tests. Leo's first three scores are $72$, $78$, and $86$. What is the least score Leo can get on the fourth test?

R.4Solve each inequality.

1. 13
   $5m-3\ge -2m+11$
2. 14
   $-13-4p<-2p-23$
3. 15
   $7k-12<-5k-120$
4. 16
   $6y+4<-2y+36$

R.1R.2Solve each inequality.

1. 1$p<-6$
2. 2$p\le -4$
3. 3$n\le 7$
4. 4$k\le 2$
5. 5$m>3$
6. 6$x>4$
7. 7$y<-5$
8. 8$k>-1$

R.3Inequality Word Problems

1. 998 points
2. 1085 points
3. 1179 points
4. 1296 points

R.4Multi-Step Inequalities Review

1. 13$m\ge 2$
2. 14$p>5$
3. 15$k<-9$
4. 16$y<4$