6.9: Chapter 6 Review
Difficulty Level: At Grade
Created by: CK12
Vocabulary – 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.

y+7≥36 
16x<1 
y−64<−64 
5>t3 
0≤6−k 
−34g≤12 
10≥q−3 
−14+m>7 
4≥d+11 
t−9≤−100 
v7<−2 
4x≥−4 andx5<0 
n−1<−5 orn3≥−1 
n2>−2 and−5n>−20 
−35+3x>5(x−5) 
x+6−11x≥−2(3+5x)+12(x+12) 
−64<8(6+2k) 
0>2(x+4) 
−4(2n−7)≤37−5n 
6b+14≤−8(−5b−6)  How many solutions does the inequality
6b+14≤−8(−5b−6) have?  How many solutions does the inequality
6x+11<3(2x−5) 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
± 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.

24=8z 
∣∣u4∣∣=−1.5 
1=4r−7−2 
−9+x=7
Graph each inequality or equation.

y=x−2 
y=−x+4 
y=x+1+1 
y≥−x+3 
y<−3x+7 
3x+y≤−4 
y>−14x+6 
8x−3y≤−12 
x<−3 
y>−5 
−2<x≤5 
0≤y≤3 
x>4 
y≤−2
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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CK.MAT.ENG.SE.1.AlgebraBasic.6
compound inequalities
graphing inequalities
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inequalities using addition
inequalities using division
inequalities using multiplication
inequalities using subtraction
linear inequalities with two variables
multistep inequalities
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absolute value inequalities
absolute value equations
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compound inequalities
multistep inequalities
inequalities using division
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inequalities using subtraction
inequalities using addition
CK.MAT.ENG.SE.1.AlgebraBasic.6
Date Created:
Feb 22, 2012
Last Modified:
Feb 09, 2016
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