COMPETENCY TEST CHAPTER 3

I. For each problem numbered 1 to 20 choose the right answer!
1. Among the following statements
(1) x + 7 = 9
(2) 5 + 6 = 11
(3) 3y + 4 = 2y – 3
(4) g is an odd number those which are open sentence are …
a. 1, 2, and 3
b. 1, 2, and 4
c. 1, 3, and 4
d. 2, 3, and 4
2. For y = 5, 10, 15 and 20, the solutions of y + 4  19 are …
a. 5 and 10
b. 5 and 15
c. 5, 10, and 15
d. 5, 10, and 20
3. The solution of 6 + 3x = 18 is …
a. 4
b. 6
c. 8
d. 12
4. The solution of 2x + 3 = 3x + 7 is …
a. -5
b. -4
c. 4
d. 5
5. The solution of 7c – 4 = 4x + 20 is …
a. 4
b. 5
c. 6
d. 8
6. The solution of 3 (2y – 2) + 4y = 2 is …
a. 4
b. 5
c. 6
d. 8
7. The solution of is …
a.
b.
c.
d.
8. The solution is …
a. -2
b.
c.
d.
9. The numbers 0.4444 … expressed as a proper fraction is …
a.
b.
c.
d.
10. The numbers 0.272727 … expressed as a proper fraction is …
a.
b.
c.
d.
11. The solution of (4x + 5) (x – 2) = 4x (x – 2) is …
a. -2
b.
c.
d. 2
12. The solution of (y + 8) (y – 12) = (y + 4) is …
a. -14
b.
c.
d. 14
13. The solution of 8x + 2 > 3x + 3 is …
a. x >
b. x >
c. x >
d. x >
14. The solution of 4 (2 – x) < x + 5 is …
a. x <
b. x >
c. x <
d. x >
15. The solution of 2 (3x + 1)  5 (x – 6) is …
a. x  -28
b. x ≥ -28
c. x  -32
d. x ≥ -32
16. The solution of is …
a. x 
b. x ≥
c. x 
d. x ≥
17. The solution of  is is …
a. x 
b. x ≥
c. x 
d. x ≥
18. The perimeter of a rectangle is 90 cm long. If length is 5 cm more than is width, then the width of the rectangle is …
a. 20
b. 25
c. 30
d. 35
19. The graph of the solutions of 2x – 1  3x + 2 for x = -5, -4, -3, -2, -1, 0, 1 and 2 is …
a.

b.


c.


d.


20. A rectangle has a length of (x – 3) cm and a width of 6 cm. if the area of the rectangle is less than 48 cm2, the value of x is ….
a. x < 5
b. x < 11
c. 3 < x < 5
d. 3 < x < 11

II. Do the following problems in detail!
1. Find the solution of each of the following equations!
a. 3x + 2 = 6x – 1
b. 3 (2p – 2) = 5p + 3
c. (2x + 5) + (3x – 7) = 11
d.

2. Find the solution of each of the following inewualities!
a. 9x + 5 > 2x + 7
b. 6x  2 (2x + 3)
c. (x + 8) > 2x + 1
d.
3. The price of a polo shirt is the same as the price of two T-shirts is Rp420,000. If the price a polo shirt is x rupiah, then :
a. form an equations in x,
b. find the value of x!
4. The perimeter of a rectangle is not more than 90 cm long. If its length is x and its width is (x – 5) cm, find :
a. The inequality that gives the perimeter of the rectangle
b. The length and width of the rectangle,
c. The area of the rectangle!
5. Uncle Sam has 24 coins consisting of two-hundred denominations and five hundred denominations. If the amount of his money is Rp9,000, find the number of each coin!