# 6.9: Chapter 6 Review

Difficulty Level:

**At Grade**Created by: CK-12Vocabulary – In 1 – 12, define the term.

- Algebraic inequality
- Interval notation
- Intersection of sets
- Union of sets
- Absolute value
- Compound inequality
- Boundary line
- Half plane
- Solution set
- Probability
- Theoretical probability
- Experimental probability
- Find the distance between 16 and 104 on a number line.
- 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.
- 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.

- \begin{align*}y+7 \ge 36\end{align*}
- \begin{align*}16x<1\end{align*}
- \begin{align*}y-64<-64\end{align*}
- \begin{align*}5> \frac{t}{3}\end{align*}
- \begin{align*}0 \le 6-k\end{align*}
- \begin{align*}-\frac{3}{4} g \le 12\end{align*}
- \begin{align*}10 \ge \frac{q}{-3}\end{align*}
- \begin{align*}-14+m>7\end{align*}
- \begin{align*}4 \ge d+11\end{align*}
- \begin{align*}t-9 \le -100\end{align*}
- \begin{align*}\frac{v}{7}<-2\end{align*}
- \begin{align*}4x \ge -4\end{align*} and \begin{align*}\frac{x}{5}<0\end{align*}
- \begin{align*}n-1 < -5\end{align*} or \begin{align*}\frac{n}{3}\ge -1\end{align*}
- \begin{align*}\frac{n}{2}>-2\end{align*} and \begin{align*}-5n > -20\end{align*}
- \begin{align*}-35 + 3x > 5(x-5)\end{align*}
- \begin{align*}x+6-11x \ge -2(3+5x)+12(x+12)\end{align*}
- \begin{align*}-64 < 8(6+2k)\end{align*}
- \begin{align*}0 > 2(x+4)\end{align*}
- \begin{align*}-4(2n-7) \le 37-5n\end{align*}
- \begin{align*}6b+14 \le -8(-5b-6)\end{align*}
- How many solutions does the inequality \begin{align*}6b+14 \le -8(-5b-6)\end{align*} have?
- How many solutions does the inequality \begin{align*}6x+11<3(2x-5)\end{align*} have?
- 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?
- 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?
- Strawberries cost $1.67 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.

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

Graph each inequality or equation.

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

- Write the sample space for this experiment.
- What is the theoretical probability of the spinner landing on 7?
- Give the probability that the spinner lands on an even number.
- What are the odds for landing on a multiple of 2?
- What are the odds against landing on a prime number?
- 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?
- What is probability of the spinner landing on a number greater than 5?
- Give an event with a 100% probability.
- Give an event with a 50% probability.

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## Date Created:

Feb 22, 2012## Last Modified:

Feb 09, 2016
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