Download MTH 098 TEST 4 PART 2 FA 10.tst

MTH 098 TEST 4 PART 1 FALL 2010 NAME___________________________
DO THE FOLLOWING WITHOUT A CALCULATOR. SHOW WORK! Each problem counts 3 points.
Multiply. Write the answer in lowest terms.
12 40 15
· · 1)
25 66 32
Add. Write your answer in lowest terms.
5
1 1
5)
+ + 18 3 6
Multiply. Write the answer in lowest terms and as a
whole or mixed number where possible.
7
4
2) 40 · · 10 21
Add the fractions. Write the answer in lowest terms.
1
2
6) +
3
8
Divide. Write the answer in lowest terms and as a whole
number where possible.
7 2
3) ÷ 4 5
Subtract the fractions. Write the answer in lowest terms.
2
3
4)
35
3
5
7) -
5
8
MTH 098 TEST 4 PART 2 FALL 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 + 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 completely. Use a negative common factor.
4) -60x3 - 10x
Factor as completely as possible. Factor out a negative if the first term is negative.
5) 6z 2 - 5z - 6
Solve the equation. Show your factoring. Express your answer as a solution set.
6) 25b2 + 60b + 22 = -14
Find all values that make the expression undefined.
x2 - 36
7)
x2 - 11x + 18
8)
4q - 6
q2 + 4
Find the numerical value of the expression for the given value.
8 x2 + 7 x
9)
, x = -3
3x
Write the rational expression in lowest terms.
a 2 - 25
10)
2
a + 9a + 20
Write the expression in lowest terms.
2k - 4
11)
8 - 4k
Multiply. Write the answer in lowest terms.
2t2 - 3t - 9 3t2 + 13t - 30
· 12) t2 + 3t - 18
3t2 - 2t - 5
Divide. Write the answer in lowest terms.
z 2 + 4z
z 2 + 12z + 32
÷ 13)
2
2
z + 15z + 56 z + 9z + 14
Perform the indicated operation. Write the answer in lowest terms.
x2 - 7x
x + 2
x2 - 5x - 14
· ÷ 14)
x + 7
7x
2
x - 14x + 49
Perform the indicated operation and express in lowest terms.
x + 8
3x + 16
- 15)
2
2
x - 2x - 24 x - 2x - 24
Perform the indicated operation and write the answer in lowest terms.
6
2
16)
+ x + 4 x
17)
x
4
8
+ - x - 2 x + 2 x2 - 4
Add or subtract. Write the answer in lowest terms.
2
5
18)
+ 6 x - 9
9 - 6 x
Find the square root.
144
19) - 49
- 289
20)
Find the root.
5
21) -243
Simplify the radical. Assume that all variables represent nonnegative real numbers.
22) 49y4
100m 9 n 12
23)
Simplify.
24)
3
128z 17
Use the product and quotient rules, as necessary, to simplify the radical expression.
10 54
25)
2 3
Find the product and simplify.
26) 9 2 · 3 10