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# 6.9: Chapter 6 Review

Difficulty Level: At Grade Created by: CK-12

Vocabulary – In 1 – 12, define the term.

1. Algebraic inequality
2. Interval notation
3. Intersection of sets
4. Union of sets
5. Absolute value
6. Compound inequality
7. Boundary line
8. Half plane
9. Solution set
10. Probability
11. Theoretical probability
12. Experimental probability
13. Find the distance between 16 and 104 on a number line.
14. Shanna needed less than one dozen eggs to bake a cake. Write this situation as an inequality and graph the appropriate solutions on a number line.
15. Yemi can walk no more than 8 dogs at once. Write this situation as an inequality and graph the appropriate solutions on a number line.

In 16 – 35, solve each inequality. Graph the solutions on a number line.

1. \begin{align*}y+7 \ge 36\end{align*}
2. \begin{align*}16x<1\end{align*}
3. \begin{align*}y-64<-64\end{align*}
4. \begin{align*}5> \frac{t}{3}\end{align*}
5. \begin{align*}0 \le 6-k\end{align*}
6. \begin{align*}-\frac{3}{4} g \le 12\end{align*}
7. \begin{align*}10 \ge \frac{q}{-3}\end{align*}
8. \begin{align*}-14+m>7\end{align*}
9. \begin{align*}4 \ge d+11\end{align*}
10. \begin{align*}t-9 \le -100\end{align*}
11. \begin{align*}\frac{v}{7}<-2\end{align*}
12. \begin{align*}4x \ge -4\end{align*} and \begin{align*}\frac{x}{5}<0\end{align*}
13. \begin{align*}n-1 < -5\end{align*} or \begin{align*}\frac{n}{3}\ge -1\end{align*}
14. \begin{align*}\frac{n}{2}>-2\end{align*} and \begin{align*}-5n > -20\end{align*}
15. \begin{align*}-35 + 3x > 5(x-5)\end{align*}
16. \begin{align*}x+6-11x \ge -2(3+5x)+12(x+12)\end{align*}
17. \begin{align*}-64 < 8(6+2k)\end{align*}
18. \begin{align*}0 > 2(x+4)\end{align*}
19. \begin{align*}-4(2n-7) \le 37-5n\end{align*}
20. \begin{align*}6b+14 \le -8(-5b-6)\end{align*}
21. How many solutions does the inequality \begin{align*}6b+14 \le -8(-5b-6)\end{align*} have?
22. How many solutions does the inequality \begin{align*}6x+11<3(2x-5)\end{align*} have?
23. Terry wants to rent a car. The company he’s chosen charges $25 a day and$0.15 per mile. If he rents is for one day, how many miles would he have to drive to pay at least 108? 24. Quality control can accept a part if it falls within \begin{align*}\pm\end{align*}0.015 cm. The target length of the part is 15 cm. What is the range of values quality control can accept? 25. Strawberries cost1.67 per pound and blueberries cost $1.89 per pound. Graph the possibilities that Shawna can buy with no more than$12.00.

Solve each absolute value equation.

1. \begin{align*}24=|8z|\end{align*}
2. \begin{align*}\left |\frac{u}{4}\right |=-1.5\end{align*}
3. \begin{align*}1=|4r-7|-2\end{align*}
4. \begin{align*}|-9+x|=7\end{align*}

Graph each inequality or equation.

1. \begin{align*}y=|x|-2\end{align*}
2. \begin{align*}y=-|x+4|\end{align*}
3. \begin{align*}y=|x+1|+1\end{align*}
4. \begin{align*}y \ge -x+3\end{align*}
5. \begin{align*}y<-3x+7\end{align*}
6. \begin{align*}3x+y \le -4\end{align*}
7. \begin{align*}y>\frac{-1}{4} x+6\end{align*}
8. \begin{align*}8x-3y\le -12\end{align*}
9. \begin{align*}x<-3\end{align*}
10. \begin{align*}y>-5\end{align*}
11. \begin{align*}-2
12. \begin{align*}0\le y \le 3\end{align*}
13. \begin{align*}|x|>4\end{align*}
14. \begin{align*}|y|\le -2\end{align*}

A spinner is divided into eight equally spaced sections, numbered 1 through 8. Use this information to answer the following questions.

1. Write the sample space for this experiment.
2. What is the theoretical probability of the spinner landing on 7?
3. Give the probability that the spinner lands on an even number.
4. What are the odds for landing on a multiple of 2?
5. What are the odds against landing on a prime number?
6. Use the TI Probability Simulator application “Spinner.” Create an identical spinner. Perform the experiment 15 times. What is the experimental probability of landing on a 3?
7. What is probability of the spinner landing on a number greater than 5?
8. Give an event with a 100% probability.
9. Give an event with a 50% probability.

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CK.MAT.ENG.SE.1.Algebra-Basic.6.9