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Algebra Lesson 6-4 and 6-5 Review
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Write an inequality that is represented by the graph.
1.)
2.)
3.)
4.)
Translate the verbal phrase into an inequality. Then graph the inequality.
5.) All real numbers that are less than 3
and greater than 0.
6.) All real numbers that are greater than 7
or less than 1
7.) All real numbers that are greater than or equal to –2 and less than 4
Solve the inequality. Graph your solution.
8.) 0 < x + 6 ≤ 15
9.) 2x – 1 < 3 or 2x + 1 ≥ 11
10.) The highest point in the United States is Mount McKinley in Alaska at an elevation of 6198 meters. The
lowest point in the United States is Death Valley, California at an elevation of –86 meters.
a. Write a compound inequality that represents the possible elevations e of land in the United States.
b. Graph the inequality.
Solve the equation.
11.) | x + 2| =9
12.) | x – 4| = 1
13.) | 2x | = 24
14.) | 3x –4| = 5
15.) | 4x + 6| = 18
16.) 2| x +5| = 8
Match the description with the appropriate equation.
17.) The absolute deviation of x from –8 is 2.
A. |x – 8| = 2
18.) The absolute deviation of x from 8 is 2.
B. |x – 2| = 8
19.) The absolute deviation of x from 2 is –8.
C. |x + 8| = 2
20.) The absolute deviation of x from 2 is 8.
D. |x – 2| = –8
Find the values of x that satisfy the definition of absolute value for the given value and the given absolute
deviation.
21.) Given value: 0; absolute deviation: 6
22.) Given value: 3; absolute deviation: 4
23.) Given value: 5; absolute deviation: 10
24.) Given value: 2; absolute deviation: 4
25.) The average price of the brand of shampoo that you buy is $4.50 for a bottle that holds 15 fluid ounces.
Depending on where you shop, the prices vary by as much as $.15.
a. Write an absolute value equation that represents the minimum and maximum prices of the shampoo.
b. Find the minimum and maximum prices of the shampoo.