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```2A
CHAPTER 2 TEST
Name:
1−3. Solve each inequality.
1. −3(x + 2) − x < 6x − 8(x − 4)
2. 4[x − 2(x + 3)] > 4(−x − 3)
3. 5 − (1 − t) < 3t − 2(t − 3)
4. Tell whether the statement is true for all real numbers. If it is not, give a numerical
m
n
If m < n, then
.
mn mn
5−7. Solve each open sentence and graph solution set that is not empty.
5. −8 < 3x + 4 < 19
−10 −8
−6
−4
−2
0
2
4
6
8
10
−2
0
2
4
6
8
10
−2
0
2
4
6
8
10
6. 4x − 4 < −8 or −2(x − 3) > 0
−10 −8
−6
−4
7. − 3 > −1 or −2x + 1 < 5
−10 −8
−6
−4
8−9. Choose one variable. Tell what it represents. Represent all other unknown quantities.
Write an inequality. Solve and write a sentence answering the question.
8. A regular hexagon, a square, and an equilateral triangle all have equal sides. If the
sum of the perimeters of the square and the triangle is no more than 18 cm less than
twice the perimeter of the hexagon, what is the minimum length of each side?
9. How many liters of antifreeze should be added to 4 L of water to produce a solution
that is no less than 50% antifreeze and no more than 70% antifreeze?
16
2A
CHAPTER 2 TEST
Name:
10−13. Solve and then graph the solution set of each open sentence.
10. 2x − 1 = 3
−10 −8
−6
−4
−2
0
2
4
6
8
10
−6
−4
−2
0
2
4
6
8
10
−4
−2
0
2
4
6
8
10
−4
−2
0
2
4
6
8
10
11. 4x + 2 > 6
−10 −8
12. 6 −
1
x+1 >3
2
−10 −8
−6
13. 3 < 2x + 3 < 7
−10 −8
−6
14. Use absolute values to write an inequality that describes this graph.
−10 −8
−6
−4
−2
0
4
2
2
2
15. Prove: If m < n and n < 0, then m > n .
16. Prove: If mx − n = r, and m ≠ 0, then x =
n+r
m
Extra Credit. Solve algebraically. Show all steps.
3x + 1 > x − 2
17
6
8
10
```