Download Part I: Factoring Q3 Test 2: Factoring/Solving Quadratics/Word Problems

Q3 Test 2: Factoring/Solving Quadratics/Word Problems
C,D, and G Periods: Tuesday, 4/1/08
E Period: Wednesday, 4/2/08
Part I: Factoring
1) x2 – 5x – 84
4) x2 – 21x + 90
7) 8x2 – 24x – 320
10) 7x8 – 175x6
13) 9x16 – 81x1
16) 6x10 – 84x9 + 270x8
19) 225x2 – 36
22) 2x2 – 7x - 22
25) 18y2 + 21y + 5
28) 12s2 – 8s - 20
2) x2 + 2x – 80
5) x2 – 121
8) x9 + 13x8 + 36x7
11) 36x2 – 16
14) 100x8 – 4x2
17) 7x2 – 63x – 154
20) 81x6 – 144x4
23) 12s2 + 23s + 5
26) 15f2 – 46f + 3
29) 24d2 – 4d - 42
3) x2 + 15x + 54
6) 9x2 – 196
9) 9x7 + 9x6 – 504x5
12) 144x4 – 64x2
15) 10x2 + 30x – 700
18)12x5 + 144x4 + 384x3
21) 196x15 – 49x13
24) 36c2 + 18c - 4
27) 45k2 + 21k - 24
30) 21w2 + 93w + 36
Part II: Solve By Factoring:
1) x2 – 4x = 45
4) 6x2 + 144 = 60x
6) 3x2 + 5x – 11 = 6x2 - 9x – 59
8) 10x3 = 20x2 + 350x
11) 8x2 – 8x - 19 = 7x2 – 8x + 17
2) x2 + 64 = -16x
3) 77 – 4x = x2
3
2
5) 3x + 30x + 63x = 0
7) 3x2 – 11x - 33 = 7x2 – 3x – 33
9) x2 + 10x = 96
10) 4x6 + 20x5 = 144x4
12) 7x2 – 8x – 13 = 6x2 + 3x – 17
Part III: Quadratic Word Problems:
1) The area of a rectangle is 112 cm2. The width is stated as x – 2 and the length is stated as
x + 7. Find the value of x and then use x to find the perimeter.
2) Find 5 positive consecutive integers such the product of the 3rd and the 5th is 528
3) Find 4 consecutive negative odd integers such that the product of the 2nd and 4th is 1,085.
4) The product of two negative numbers is 96. The smaller number is 4 less than double the
larger. Find both numbers. Find the difference of the two numbers.
5) Three positive numbers are multiplied and the product is 1,000. The first number is 5.
The 2nd # is x and the 3rd number is x + 10. Find the sum of the three numbers.
6) The area of a rectangle is 165 in2. The width is 4 less than the length. Find the perimeter
of the rectangle.