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Inequalities Gateway

 1. 

If A < B, which of the following statements is always true?
A)
mc001-1.jpg
B)
mc001-2.jpg
C)
AC < BC
D)
-A < -B
 

 2. 

What is the solution to mc002-1.jpg?
A)
mc002-3.jpg
B)
mc002-4.jpg
C)
mc002-5.jpg
D)
mc002-6.jpg
 

 3. 

If mc003-1.jpg , then ---
A)
x > –66
B)
x > –3
C)
mc003-3.jpg
D)
x > 74
 

 4. 

Which best represents the graph of          mc004-1.jpg?
A)
mc004-4.jpg
B)
mc004-5.jpg
C)
mc004-6.jpg
D)
mc004-7.jpg
 

 5. 

Which of the following inequalities best represents the graph below?
                mc005-1.jpg
A)
|x - 1| < 3
B)
|x - 7| < 4
C)
|x + 3| < 7
D)
|x + 3| < 4
 

 6. 

Which number line shows the correct solution to the inequality mc006-1.jpg?
A)
mc006-3.jpg
B)
mc006-4.jpg
C)
mc006-5.jpg
D)
mc006-6.jpg
 

 7. 

Halley wants to by two different type of ground covering for her yard.  She plans to spend no more than $750 in all.  She found wood mulch for $30 per cubic yard and ground pebbles for $50 per cubic yard, taxes included.  Which of these graphs best represents the numbers of cubic yards of each type of ground covering Halley can buy?
A)
mc007-2.jpg
C)
mc007-4.jpg
B)
mc007-3.jpg
D)
mc007-5.jpg
 

 8. 

Which statement describes the values of x that satisfy the inequality -3x < 6?
A)
x is less than 9.
C)
x is greater than 9.
B)
x is less than -2.
D)
x is greater than -2.
 

 9. 

Which graph represents the inequality mc009-1.jpg?
A)
mc009-3.jpg
C)
mc009-5.jpg
B)
mc009-4.jpg
D)
mc009-6.jpg
 

 10. 

What is the solution to this inequality?        mc010-1.jpg
A)
mc010-3.jpg
B)
mc010-4.jpg
C)
mc010-5.jpg
D)
mc010-6.jpg
 

 11. 

Which inequality matches this number line?
  mc011-1.jpg
A)
mc011-3.jpg
B)
mc011-4.jpg
C)
mc011-5.jpg
D)
mc011-6.jpg
 

 12. 

Which inequality is shown on the graph below?
 mc012-1.jpg
A)
mc012-3.jpg
B)
mc012-4.jpg
C)
mc012-5.jpg
D)
mc012-6.jpg
 

 13. 

Which inequality does the shaded region of the graph represent?
mc013-1.jpg
A)
mc013-4.jpg
B)
mc013-5.jpg
C)
mc013-6.jpg
D)
mc013-7.jpg
 

 14. 

Which graph best represents the solution to the system of linear inequalities?   mc014-1.jpg
A)
mc014-4.jpg
C)
mc014-6.jpg
B)
mc014-5.jpg
D)
mc014-7.jpg
 

 15. 

Which of these shows the inequality mc015-1.jpg?
A)
mc015-3.jpg
C)
mc015-5.jpg
B)
mc015-4.jpg
D)
mc015-6.jpg
 

 16. 

Which graph shows the values of x that satisfy the inequality?    mc016-1.jpg
A)
mc016-3.jpg
B)
mc016-4.jpg
C)
mc016-5.jpg
D)
mc016-6.jpg
 

 17. 

Which system of inequalities is best represented by the shaded region of this graph?
mc017-1.jpg
A)
mc017-4.jpg
C)
mc017-6.jpg
B)
mc017-5.jpg
D)
mc017-7.jpg
 

 18. 

A group of high school students wants to earn at least $200 in profits by selling no more than a total of 250 hot dogs and hamburgers at a basketball game.  They make 50¢ on every hot dog and a dollar on every hamburger.
     mc018-1.jpg
This system of inequalities represents the number of hot dogs, x, and the number of hamburgers, y, the students can sell to meet their goal. Which graph represents this situation?
A)
mc018-2.jpg
C)
mc018-4.jpg
B)
mc018-3.jpg
D)
mc018-5.jpg
 

 19. 

Which quadrants contain the solutions to this system of inequalities?   mc019-1.jpg
A)
I and IV
B)
II and III
C)
III and IV
D)
II, III, and IV
 

 20. 

India and Sal are starting a lawn mowing company. They have to buy a lawn mower for $250. They will charge $25 per lawn. Which of these inequalities represents the least number of lawns (l) that they need to mow to earn at least $1000 after they pay for the lawn mower?
A)
mc020-2.jpg
B)
mc020-3.jpg
C)
mc020-4.jpg
D)
mc020-5.jpg
 

 21. 

The yearbook club washes cars to raise at least $675. The club charges $4 for each car (c) that they wash. Which of these inequalities models this situation?
A)
mc021-1.jpg
B)
mc021-2.jpg
C)
mc021-3.jpg
D)
mc021-4.jpg
 

 22. 

All of Tyler’s DVDs and videotapes are
on a shelf.  The inequality mc022-1.jpg represents the number of DVDs, d, and videotapes, v, that the shelf can hold. He owns fewer videotapes than DVDs, represented by the inequality mc022-2.jpg.  The possible combinations of Tyler’s DVDs and videotapes that the shelf can hold are found in which region of the graph?mc022-3.jpg
A)
1
B)
2
C)
3
D)
4
 

 23. 

Nicki makes hand-painted plates. Her overhead costs are $750 per week, and she pays an additional $12 per plate in material costs. If Nicki sells the plates for $27 each, how many plates does she have to sell each week at least to make a profit?
A)
19
B)
28
C)
50
D)
63
 

 24. 

Which graph best represents all the pairs of numbers (x, y) such that mc024-1.jpg?
A)
mc024-3.jpg
C)
mc024-5.jpg
B)
mc024-4.jpg
D)
mc024-6.jpg
 

 25. 

Frank works at a convenience store.
    He earns $7.50 per hour when he works during the day.
    He earns $12.50 per hour when he works at night.
    He wants to earn at least $300 per week.

Which graph best represents Frank’s Weekly Earnings?
A)
mc025-1.jpg
C)
mc025-3.jpg
B)
mc025-2.jpg
D)
mc025-4.jpg
 



 
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