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Unit 3 test Linear inequalities
Part A
Match each statement with an equation.
There is one extra equation.
1. A number plus 11 is 14.
2. 7 is 1/4 of some number.
3. Six less than the sum of 11 and 9 is 14.
4. The quotient of a number n and 7 is 2.
5. Nine more than twice a number n is 12.
Name ……..……………………
Class ………………
Equation
a. n/7 = 2
b. n + 11 = 14
c. 1/4n = 7
d. 2n + 9 = 12
e. n - 7 = 14
f. 11 + 9 - 6 = 14
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Part B
Circle the number(s) which is a solution of the given inequality? Show your working.
6. 4y + 3 ≤ –7
a. –3
b. -1
c. 3
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Write an inequality to model each situation.
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7. The temperature (t) will be at least 75°F today.
………………………….
8. The class (c) can contain at most 28 students.
………………………….
Write an inequality for each graph.
9.
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10.
…………….……….
…………….……….
…………….……….
Write a compound inequality that each graph could represent.
11.
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12.
…………………………...……….
…………………………...………
Solve each inequality. Graph the solution.
13.
-20 ≤ 5x
14. 4 – x >3
15. 3x – 8 < –2x + 22
16. –9 < 3n < 18
17. –3 < 5c + 7 ≤ 22
18. –6b ≥ 42 or 4b > –4
19. f ≥ –5f + 36
20. -3 x < 9
5
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Solve each inequality. Where appropriate state whether the result has no solution or
all real numbers.
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21. 3(x – 4) < –15
22. 4x + 6 ≥ 6x +18
23. 9 + 2x < 7 + 2(x – 3)
24. 6x – 7 ≤ 3(2x + 4)
25. The width of a soccer field must be between 55yd and 80yd.
Write a compound inequality to represent the width of the soccer field.
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…………….……….…………….……….
26. On a roller coaster ride there are height restrictions. Riders have to be at least 120cm tall,
but less than 240cm. Let h represent the height.
Write a compound inequality to represent the possible height of a rider.
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…………….……….…………….……….
27. The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected
300 toys. Write and solve an inequality to find how many more toys the drive needs to
collect to meet its goal.
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