Download CHAPTER 2B TEST

2B
CHAPTER 2 TEST
Name:
1−3. Solve each inequality.
1. 4(x + 5) − x < 4x − 6(x − 3)
2. 4[x − 2(x + 1)] ≥ 4(−x − 6)
3. 16 − (6 − t) < 3t − 2(t − 3)
4. Tell whether the statement is true for all real numbers. If it is not, give a numerical
example to support your answer.
If x < 0 and x ≠ −1, then
5
5
.
x1 x1
5−7. Solve each open sentence and graph solution set that is not empty.
5. −4 ≤ 2x + 4 ≤ 10
−10 −8
−6
−4
−2
0
2
4
6
8
10
0
2
4
6
8
10
2
4
6
8
10
6. 3x − 5 < −8 or −2(x − 2) < 0
−10 −8
−6
−4
−2
7. 5x − 3 > 6x or 3x + 6 < −4x − 8
−10 −8
−6
−4
−2
0
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. The Ingalls family has 60 more shares of stock B than of stock A. The current price
per share of stock A is $26.50 and of stock B is $32.50. How many shares of each
do they have if the average price is no less than $30?
9. The length of a rectangle exceeds the width by 4 cm. If each dimensions were 5 cm
2
greater, the area would no more that 205 cm more than the area of the original
rectangle. What are the dimensions of the original rectangle?
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2B
CHAPTER 2 TEST
Name:
10−13. Solve and then graph the solution set of each open sentence.
10. 2x − 3 = 5
11. 3x + 6 < 9
12. 8 −
x−1
>5
2
13. 3 < 2x + 1 < 7
−10 −8
−6
−4
−2
0
2
4
6
8
10
−10 −8
−6
−4
−2
0
2
4
6
8
10
−10 −8
−6
−4
−2
0
2
4
6
8
10
−10 −8
−6
−4
−2
0
2
4
6
8
10
14. Use absolute values to write an inequality that describes this graph.
−10 −8
−6
−4
−2
0
2
15. Prove: If cx + d = e, and c ≠ 0, then x =
4
6
8
10
e−d
c
16. Prove: If m and n are real numbers, m > 0, and n < 0, then m ⋅ n = mn
Extra Credit. Solve algebraically. Show all steps.
4x − 2 > x + 1
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