Download MTH 098 TEST 4 SP 10.tst

MTH 098 TEST 4 SPRING 2010 NAME________________________________________
Each problem counts 3 points.
SHOW WORK EXCEPT FOR FACTORING PROBLEMS! DO NOT USE DECIMALS!
Graph the linear equation. Show at least THREE POINTS.
1) x = y - 5
y
5
-5
5
x
-5
Find the square.
2) ( 3 a - 11 )2
Simplify by writing the expression with positive exponents. Do not use decimals.
2a -6 b5
3)
16a -9 b8
Factor completely. Use a negative common factor.
4) -30x3 - 15x
Factor as completely as possible. Factor out a negative if the first term is negative.
5) 15z 2 - 11z - 12
Solve the equation. Show your factoring. Express your answer as a solution set.
6) 15b2 + 31b + 7 = -3
Find all values that make the expression undefined.
x2 - 25
7)
x2 - 13x + 36
8)
-3q + 9
q2 + 16
Find the numerical value of the expression for the given value.
4 x2 - 5 x
9)
, x = -3
7x
Write the rational expression in lowest terms.
a 2 - 25
10)
2
a + 7a + 10
Write the expression in lowest terms.
3k - 9
11)
6 - 2k
Multiply. Write the answer in lowest terms.
2t2 - 3t - 9 3t2 + 11t - 42
· 12) t2 + 3t - 18
3t2 - 4t - 7
Divide. Write the answer in lowest terms.
z 2 + 2z
z 2 + 6z + 8
÷ 13)
2
2
z + 12z + 32 z + 16z + 64
Perform the indicated operation. Write the answer in lowest terms.
x2 - 6x
x + 4
x2 - 2x - 24
· ÷ 14)
x + 6
6x
2
x - 12x + 36
Perform the indicated operation and express in lowest terms.
x + 20
3x + 32
- 15)
2
2
x + 4x - 12 x + 4x - 12
Perform the indicated operation and write the answer in lowest terms.
7
2
16)
+ x + 6 x
17)
x
8
32
+ - x - 4 x + 4 x2 - 16
Add or subtract. Write the answer in lowest terms.
9
1
18)
+ 9 x - 4
4 - 9 x
Find the square root.
100
19) - 9
- 144
20)
Find the root.
5
21) -1024
Find the square of the radical expression.
22) 25 x2 + 64
Simplify the radical. Assume that all variables represent nonnegative real numbers.
23) 400y6
36m 15n 8
24)
Simplify.
25)
3
24z 14
Find the product and simplify.
26) 3 · 15
Simplify and add or subtract wherever possible.
27) 17 3 - 3
28) 6
6 + 7
54
Simplify the expression.
29) 2 5 ( 11 + 5 )
30) (7 2 + 5 3)(4 2 + 3 3)
Simplify.
31) (2 - 2 3)2
Find the product. Assume all variables have non -negative values.
32) ( 13 + 8 )( 13 - 8 )
Write the quotient in lowest terms.
63 + 72 50
33)
54
Answer Key
Testname: MTH 098 TEST 4 SP 10
1)
y
10
5
-10
-5
5
-5
-10
2) 9 a 2 - 66 a + 121
a3
3)
8b3
4) -15x(2x2 + 1)
5) (3z - 4)(5z + 3)
2
5
6) - , - 5
3
7) 9, 4
8) Never undefined
17
9) - 7
10)
a - 5
a + 2
11) - 3
2
12)
(2t + 3)
(t + 1)
13)
z + 8
z
14)
x + 6
6
15)
2
x - 2
16)
9x + 12
x(x + 6)
17)
x + 16
x + 4
18)
8
9 x - 4
19) - 10
3
20) Not a real number
21) -4
22) 25 x2 + 64
23) 20y3
10
x
24) 6m 7 n 4 m
3
25) 2z 4 3z 2
26) 3 5
27) 16 3
28) 27 6
29) 2 55 + 10
30) 101 + 41 6
31) 16 - 8 3
32) 5
7 + 40 2
33)
6