Unit Review: Inequalities

Q.1Write the inequality shown by each graph. Use x.

1. 1
   Inequality: 
2. 2
   Inequality: 
3. 3
   Inequality: 
4. 4
   Inequality: 

Q.2Q.3Solve each inequality.

1. 5
   $-3y<-6$
2. 6
   $\frac{p}{4}>6$
3. 7
   $y-5>-14$
4. 8
   $\frac{n}{-3}<10$
5. 9
   $7x+7>-49$
6. 10
   $\frac{m}{-2}+1\le 8$

Q.3Solve each inequality. (continued)

1. 11
   $-7n+16<-26$
2. 12
   $\frac{p}{-7}+17\ge 25$

Q.4Write an inequality and solve it. Answer with a whole number.

1. 13
   Leo needs an average of at least $86$ on four tests. Leo's first three scores are $81$, $90$, and $91$. What is the least score Leo can get on the fourth test?
2. 14
   Mia wants at least $\text{\$}490.00$ for a bike. Mia has $\text{\$}50.00$ and earns $\text{\$}10.00$ an hour. What is the least number of hours Mia must work?
3. 15
   Mia wants at least $\text{\$}370.00$ for a bike. Mia has $\text{\$}40.00$ and earns $\text{\$}13.00$ an hour. What is the least number of hours Mia must work?
4. 16
   Mia wants at least $\text{\$}250.00$ for a bike. Mia has $\text{\$}74.00$ and earns $\text{\$}14.00$ an hour. What is the least number of hours Mia must work?

Q.5Write or solve each inequality.

1. 17
   $\frac{p}{-9}>-12$
2. 18
   $\frac{y}{-4}<7$
3. 19
   $-9m\le -18$
4. 20
   $\frac{p}{-5}>-2$

Q.1Write Inequalities from Number Lines

1. 1$x<-1$
2. 2$x\ge 2$
3. 3$x<6$
4. 4$x<-7$

Q.2Q.3Solve each inequality.

1. 5$y>2$
2. 6$p>24$
3. 7$y>-9$
4. 8$n>-30$
5. 9$x>-8$
6. 10$m\ge -14$
7. 11$n>6$
8. 12$p\le -56$

Q.4Inequality Word Problems

1. 1382 points
2. 1444 hours
3. 1526 hours
4. 1613 hours

Q.5Inequalities Review

1. 17$p<108$
2. 18$y>-28$
3. 19$m\ge 2$
4. 20$p<10$