3 Chapter Test

Do you know HOW?

Write an inequality for each graph.

Solve each inequality. Graph the solutions.

5. z + 7 ≤ 9 z plus 7 less than or equal to 9
6. − 1 3 x < 2 negative , 1 third , x less than 2
7. 5 w ≥ − 6 w + 11 5 w greater than or equal to negative 6 w plus 11
8. − 7 2 ( m − 2 ) < 21 negative , 7 halves , open m minus 2 close less than 21
9. | x − 5 | ≥ 3 vertical line x minus 5 vertical line greater than or equal to 3
10. 9 ≤ 6 − b < 12 9 less than or equal to 6 minus b less than 12
11. 4 + 3 n ≥ 1  or  − 5 n > 25 4 plus 3 n greater than or equal to 1 , or , minus 5 n greater than 25
12. 10 k < 75  and  4 − k ≤ 0 10 k less than 75 , and , 4 minus k less than or equal to 0

List the subsets of each set.

13. { 1 , 3 , 5 , 7 } the set 1 comma 3 comma 5 comma 7 end set
14. { red ,  blue  ,  yellow  } the set red comma , blue , comma , yellow end set
15. Quality Control A manufacturer is cutting fabric into rectangles that are 18.55 in. long by 36.75 in. wide. Each rectangle's length and width must be within 0.05 in. of the desired size. Write and solve inequalities to find the acceptable range for the length ℓ and the width w.

Write a compound inequality that each graph could represent.

16. 
17. 
18. Multiple Choice Suppose A = { x | x > − 1 } eh equals left brace x vertical line x greater than negative 1 right brace  and B = { x | − 3 ≤ x ≤ 2 } . b equals left brace x vertical line negative 3 less than or equal to x less than or equal to 2 right brace .  Which statement is true?
    1. A ∪ B = { } eh union b equals left brace right brace
    2. A ' = { x | x < − 1 } eh apostrophe equals left brace x vertical line x less than negative 1 right brace
    3. A ∩ B = { x | − 1 < x ≤ 2 } eh intersection b equals left brace x vertical line negative 1 less than x less than or equal to 2 right brace
    4. B ⊆ { x | x < 2 } b subset of or equal to left brace x vertical line x less than 2 right brace

Solve each equation. Check your solution.

19. | 4 k − 2 | = 11 vertical line 4 k minus 2 vertical line equals 11
20. 23 = | n + 10 | 23 equals vertical line n plus 10 vertical line
21. | 3 c + 1 | − 4 = 13 vertical line 3 c plus 1 vertical line negative 4 equals 13
22. 4 | 5 − t | = 20 4 vertical line 5 minus t vertical line equals 20
23. Fundraising A drama club wants to raise at least $500 in ticket sales for its annual show. The members of the club sold 50 tickets at a special $5 rate. The usual ticket price the day of the show is $7.50. At least how many tickets do they have to sell the day of the show to meet the goal?
24. Of 145 runners, 72 run only on weekends and 63 run on both weekends and during the week. How many of the runners run only during the week?

Do you UNDERSTAND?

25. Open-Ended Write an absolute value inequality that has 3 and − 5 negative 5  as two of its solutions.
26. Writing Compare and contrast the Multiplication Property of Equality and the Multiplication Property of Inequality.
27. Describe the region labeled C in terms of set A and set B.
28. Suppose set A has 9 elements. What is the greatest number of elements a subset of A can have?

    

Table of Contents