Download MTH 098 TEST 3 SU 10.tst

MTH 098 TEST 3 SUMMER 2010 NAME____________________________________________
Each problem counts 3 points. THE TEST COUNTS 120 POINTS.
SHOW WORK EXCEPT FOR FACTORING PROBLEMS! DO NOT USE DECIMALS!
Graph the linear equation. Show at least THREE POINTS.
1) x = y + 4
y
5
-5
5
x
-5
Find the square.
2) ( 5 a - 3 )2
Simplify by writing the expression with positive exponents. Do not use decimals.
2a -6 b5
3)
12a -10 b8
Factor out the greatest common factor.
4) 42x9 y8 + 42x7 y5 + 54x2 y2
Factor completely. Use a negative common factor.
5) -30x3 - 10x
Factor by grouping.
6) r3 + r2 + 2r + 2
Factor as completely as possible. Factor out a negative if the first term is negative.
7) 15z 2 + 2z - 8
8) -5x2 + 21xy - 4y2
Factor completely. Write ʺprimeʺ if it is not factorable.
9) 72a 4 - 98b2
10) 4x2 + 49
11) x4 - 16
Factor.
12) 25x2 + 60xy + 36y2
Solve the equation. Show your factoring. Express your answer as a solution set.
13) x(x - 5) = 24
14) 6b2 + 13b - 2 = -8
15) 20r2 = 4r
Find all values that make the expression undefined.
x2 - 36
16)
x2 - 11x + 18
17)
4q - 6
q2 + 4
Find the numerical value of the expression for the given value.
8 x2 + 7 x
, x = -3
18)
3x
Write the rational expression in lowest terms.
a 2 - 25
19)
a 2 + 9a + 20
Write the expression in lowest terms.
2k - 4
20)
8 - 4k
Multiply. Write the answer in lowest terms.
2t2 - 3t - 9 3t2 + 13t - 30
· 21) t2 + 3t - 18
3t2 - 2t - 5
Divide. Write the answer in lowest terms.
z 2 + 4z
z 2 + 12z + 32
÷ 22)
z 2 + 15z + 56 z 2 + 9z + 14
Perform the indicated operation. Write the answer in lowest terms.
x2 - 7x
x + 2
x2 - 5x - 14
· ÷ 23)
x + 7
7x
x2 - 14x + 49
Perform the indicated operation and express in lowest terms.
3x + 16
x + 8
24)
- x2 - 2x - 24 x2 - 2x - 24
Perform the indicated operation and write the answer in lowest terms.
6
2
25)
+ x + 4 x
26)
x
4
8
+ - x - 2 x + 2 x2 - 4
Add or subtract. Write the answer in lowest terms.
2
5
27)
+ 6 x - 9
9 - 6 x
Find the square root.
144
28) - 49
29)
- 289
Find the root.
5
30) -243
Simplify the radical. Assume that all variables represent nonnegative real numbers.
31) 25y8
100m 9 n 12
32)
Simplify.
33)
3
128z 17
Simplify and add or subtract wherever possible.
34) 9 19 - 19
35) -5
6 + 8
150
Simplify the expression.
36) 6 3 ( 11 + 3 )
37) (8 7 + 3 2)(10 7 + 7 2)
Simplify.
38) (5 - 3 5)2
Find the product. Assume all variables have non -negative values.
39) ( 6 + 3 )( 6 - 3 )
Write the quotient in lowest terms.
54 - 18 200
40)
12
Answer Key
Testname: MTH 098 TEST 3 SU 10
1)
y
10
5
-10
-5
-5
-10
2) 25 a 2 - 30 a + 9
a4
3)
6b3
4) 6x2 y2 (7x7 y6 + 7x5 y3 + 9)
5) -10x(3x2 + 1)
10) Prime
11) (x2 + 4)(x + 2)(x - 2)
12) (5x + 6y) 2
13) {-3, 8}
3
2
14) - , - 2
3
15) 0, 1
5
16) 9, 2
17) Never undefined
17
18) - 3
19)
a - 5
a + 4
20) - 1
2
21)
(2t + 3)
(t + 1)
22)
z + 2
z
23)
x + 7
7
24)
2
x - 6
25)
8x + 8
x(x + 4)
x + 8
x + 2
27)
-3
6 x - 9
28) - 5
6) (r2 + 2)(r + 1)
7) (3z - 2)(5z + 4)
8) -(5x - y)(x - 4y)
9) 2(6a 2 + 7b)(6a 2 - 7b)
26)
10
x
12
7
29) Not a real number
30) -3
31) 5y4
32) 10m 4 n 6 m
3
33) 4z 5 2z 2
34) 8 19
35) 35 6
36) 6 33 + 18
37) 602 + 86 14
38) 70 - 30 5
39) 3
9 - 30 2
40)
2