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MAT 0024
PRACTICE TEST #4
NAME _________________________________
INSTRUCTOR M.BEYLIN
10) 3x5 - 9x4 - 12x3
Find the GCF for the list.
1) 64a 8 b3 , 56a 6b8
Factor completely.
11) 15y2 + 19y + 6
Factor out the GCF from the polynomial.
2) 30m 9 + 27m 6 - 21m 3
12) 6x2 + 13xt + 6t2
Factor by grouping.
3) 18x2 + 24xy - 15xy - 20y2
13) 24x2 - 104x - 80
4) 20x2 - 15x + 12x - 9
14) 9x2 - 9x - 10
5) 15x2 - 20xy - 18xy + 24y2
Factor.
15) x2 + 4xy + 4y2
Factor the trinomial.
6) x2 + 7x + 6
16) 25x2 + 40xy + 16y2
7) x2 - x - 35
17) 9k2 - 100m 2
Solve the equation.
8) u2 - 4uv - 12v2
18) (x - 4)(x + 6) = 0
Factor the trinomial completely.
9) 5x2 - 45x + 100
19) x2 - x = 20
1
20) x2 + 2x - 99 = 0
28) The sum of a number and its square is 72. Find
the number.
21) 16x2 = 36
29) The sum of two numbers is 22, and the sum of
their squares is 244. Find the numbers.
Factor.
22) 98a 4 - 32b2
30) If the sides of a square are increased by 2
meters, the area becomes 25 square meters.
Find the length of a side of the original square.
23) z 2 + 10z + 25
Factor the trinomial completely.
24) 56x2 - 103x + 45
Factor the binomial completely.
31) x4 - 1
Factor completely.
32) 8a4 b - 18b3
25) 16y2 + 72y - 40
Find the GCF for the list.
26) 6y2 + 13y + 6
33) 96, 36
Solve.
27) The width of a rectangle is 6 kilometers less
than twice its length. If its area is 80 square
kilometers, find the dimensions of the
rectangle.
34) 12, 18, 20
2
Answer Key
Testname: 0024 EXAM4 REVIEW
1) 8a6 b3
2) 3m 3(10m 6 + 9m 3 - 7)
3)
4)
5)
6)
7)
8)
9)
(6x - 5y)(3x + 4y)
(5x + 3)(4x - 3)
(5x - 6y)(3x - 4y)
(x + 1)(x + 6)
prime polynomial
(u + 2v)(u - 6v)
5(x - 4)(x - 5)
10) 3x3 (x + 1)(x - 4)
11) (3y + 2)(5y + 3)
12) (3x + 2t)(2x + 3t)
13) 8(3x + 2)(x - 5)
14) (3x - 5)(3x + 2)
15) (x + 2y) 2
(5x + 4y) 2
(3k + 10m)(3k - 10m)
x = 4, x = -6
x = -4, x = 5
x = -11, x = 9
3
3
21) x = , x = 2
2
16)
17)
18)
19)
20)
22) 2(7a 2 + 4b)(7a2 - 4b)
23) (z + 5)2
24)
25)
26)
27)
28)
29)
30)
(8x - 9)(7x - 5)
8(2y - 1)(y + 5)
(3y + 2)(2y + 3)
length = 8 km, width = 10 km
8 or -9
12 and 10
3m
31) (x2 + 1)(x + 1)(x - 1)
32) 2b(2a 2 + 3b)(2a2 - 3b)
33) 12
34) 2
3