KEY Polynomials Test Review-14.1-14.3 and 15.1-15.4 (teks 10.A and 10.B)
Simplify the following
1. (6x2 + 2y – 3xy + 5) + (4x2 – 5y + 3xy – 8)
2. (6x2 + 1) + (5x2 – 4)
10𝑥 2 − 3𝑦 − 3
11𝑥 2 − 3
3. (2x2y + 9y2 – 2x) – (4y2 + 5x)
4. (x3 + 2x – 5) – (x2 + 6x – 1)
2𝑥 2 𝑦 + 5𝑦 2 − 7𝑥
𝑥 3 − 𝑥 2 − 4𝑥 − 4
5. (4x2 – 15x + 16) + (2x – 20)
6. 6x – (22x + 3 – 36x2 + x3)
4𝑥 2 − 13𝑥 − 4
−𝑥 3 + 36𝑥 2 − 16𝑥 − 3
7. (8x3 – 1) – (20x3 + 2x2 – x – 5)
8. (-3x3 + 4x – 9) – (2x3 + x2 – x)
−12𝑥 3 − 2𝑥 2 + 𝑥 + 4
−5𝑥 3 − 𝑥 2 + 5𝑥 − 9
9. (7x3 – 2 + x2 + 13x) – (4x3 + 10)
3𝑥 3 + 𝑥 2 + 13𝑥 − 12
11. 12x2(x – 8)
10. . x(x2 + 9x – 5)
𝑥 3 + 9𝑥 2 − 5𝑥
12. 2x(4x3 + 3x – 8)
.
12𝑥 3 − 96𝑥 2
13. (x – 3)(x + 5)
8𝑥 4 + 6𝑥 2 − 16𝑥
14. (x + 6)(x – 9)
15. (4x + 2)(2x + 11)
𝑥 2 + 2𝑥 − 15
16. (x – 4)(x – 8)
𝑥 2 − 3𝑥 − 54
17. (x + 4)2
8𝑥 2 + 48𝑥 + 22
18. (8x – 7)(x + 3)
𝑥 2 − 12𝑥 + 32
𝑥 2 + 8𝑥 + 16
8𝑥 2 + 17𝑥 − 21
19. (x – 5)(x – 5)
20. (x + 4)(x – 9)
21. (x – 9)(x + 9)
𝑥 2 − 10𝑥 + 25
𝑥 2 − 5𝑥 − 36
𝑥 2 − 81
22. (3x - 8)2
9𝑥 2 − 48𝑥 + 64
23. (5x + 3)(5x – 3)
25𝑥 2 − 9
24. (2 – x)(1 – x)
𝑥 2 − 3𝑥 + 2
Polynomial Word Problem Practice
25.
Bob mowed (2x2 + 5x – 3) yards on Monday and (4x –7) yards on Tuesday. How much did
he work altogether?
2𝑥 2 + 9𝑥 − 10
26..
Luke’s CD costs $(3x + 1.95) dollars and Jim’s CD costs $(4x + 0.75) dollars. How much
more is Luke’s CD?
−1𝑥 + 1.2
27. Find the perimeter of a rectangle with a length of (6x -7) cm and a width of (2x + 6) cm
16𝑥 − 2
28.The perimeter of the triangle below is (16x +14). Find the length of the missing side.
?
3x +7
2x + 3
11𝑥 + 14
Solve.
29. Find the area of a rectangle with a length of (4x  8) cm and a width of (5x  5) cm.
20𝑥 2 − 6𝑥 + 40
30. .The length of a square flag is (4x + 6) feet. Find the area of the flag. 16𝑥 2 + 48𝑥 − 2
31. Find the total area of both rectangles.
4x
4x + 2
7x + 3
5x  1
48𝑥 2 + 18𝑥 − 2
32. Find the area of the shaded region.
3x + 4
x+5
x3
5x  2
2𝑥 2 + 28𝑥 + 2
33. A hexagon has three sides of length (x  2) and 3 sides of length (x + 9). What is the perimeter,
P, of the hexagon in terms of x?
A.
B.
C.
D.
P = 2x +
P = 6x +
P = 6x +
P = 6x +
3
33
21
9
C
34. The perimeter of a rectangular garden is 32 m. Its length is 1 more than 2 times the width.
What is the area of the garden?
A.
B.
C.
D.
121 m2
64 m2
55 m2
25 m2
C