Download MTH 098 TEST 2 SU 09.tst

MTH 098 TEST 2 SUMMER 2009
SHOW YOUR WORK!
All fractional answers should be simplified and in lowest terms and should be expressed as integers if possible.
Each problem counts 2 points unless otherwise marked.
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Simplify the expression.
1) -14 - (8 - 13x)
Complete the ordered pairs. Graph the equation by
plotting the points and drawing a line through them.
(3 pts)
1
5) y = - x + 3
4
(0, ), (4, ), (-4, )
y
Solve the equation. (3 pts each)
2) 5x + 6x - 5 = -2x
5
-5
x
5
-5
3)
1
4
12
q - q = q - 21
3
7
Graph the linear equation. Show at least TWO points.
6) y + 2 = 0
y
5
-5
Solve the formula for the specified variable.
1
4) V = Bh for B
5
5
-5
x
11) 4x + 4y = 11
20x + 20y = 55
7) x = -2
y
5
-5
5
x
-5
Identify the polynomial as a MONOMIAL, BINOMIAL,
TRINOMIAL, or none of these. GIVE ITS DEGREE.
12) -6x2
Find the slope of the line through the pair of points.
8) (-3, -2) and (4, -8)
13) 11y9 - 5
14) 14c6 + 9c5 + 7c4
Find the slope of the line.
9) 3x - 4y = 18
Evaluate the polynomial.
15) 5x2 + 2x - 8
for x = -2
Solve the system by the elimination method.
10) 3x - 7y = -1
-7x + 4y = 27
Perform the indicated operation.
16) (6a 5 - 6a 3 ) + (7a 5 + 8a 3 )
17) Subtract.
5n 7 - 9n 4
8n 7 - 13n 4
Find the perimeter of the geometric figure.
18)
7x2 + 8x 23) 3y3 (4y + 2)(y - 3)
4x2 - 2x
24) (9x - 1)(x2 - 4x + 1)
Simplify the expression. Use positive exponents.
19) (3p2 )(-4p3 )
Use the power rules for exponents to simplify. Write the
answer in exponential form.
20) (-3x3 y2 )3
Simplify the expression. Use positive exponents.
21) -r3 s 2 -r2 s 3 5
Find the square.
25) ( 8 x - 3 y) 2
Find the product.
26) ( 7 p + 10 )( 7 p - 10 )
27) 4x + 3
3
4x - 5
5
Find the product. (3 pts each)
22) 2x8 (3x5 + 7x8 + 6)
Evaluate. (1 pt each)
28) (-7)0
29) -9 0
Evaluate the expression. (1 pt each except #33 is 2 pts)
30) 2 -4
31)
38)
x5 y-3 3
x-2 y4
5 -3
3
32) -5 -2
Perform the division. Write the answer with positive
exponents.
18x7 - 12x4
39)
-3x7
33) 9 -1 + 3-1
Simplify the expression. Use positive exponents. Assume
variables represent nonzero real numbers. (1 pt each)
y-6
34)
y4
Write the number in scientific notation. (1 pt each)
40) 44,000
41) .000118
35)
36)
t5
t7
2
-2
r
Use a combination of rules for exponents to simplify.
Write answers with only positive exponents.
37) t-7 · t5 · t-6
Write the number without exponents. (1 pt each)
42) 5.45 × 106
43) 3.29 × 10-4
Factor out the greatest common factor.
44) 30m 8 + 36m 5 + 60m 3
Factor by grouping.
45) 15a 3 - 25a 2 b - 18ab2 + 30b3
49) 15z 2 + 8z - 16
46) r3 + r2 + 2r + 2
50) 49x2 - 9
51) 49x2 + 4
Factor completely. Factor out a negative if the first term is
negative.
47) 2x2 - 16x + 30
52) x4 - 16
48) -18x2 - 15x + 18
53) 25x2 - 30x + 9
Answer Key
Testname: MTH 098 TEST 2 SU 09
1) -22 + 13q
5
2)
13
11) Infinite number of solutions
12) Monomial, degree 2
13) Binomial, degree 9
14) Trinomial, degree 6
15) 8
16) 13a 5 + 2a 3
3) -2
4) B = 5V
h
17) -3n 7 + 29n 4 - 14
18) 22x2 + 12x + 66
5) (0, 3), (4, 2), (-4, 4)
y
19) -12p5
20) -27x9 y6
10
21) -r16s17
22) 6x13 + 14x12 + 12x8
5
-10
-5
5
10
-5
23) 12y5 - 30y4 - 18y3
24) 9x3 - 37x2 + 13x - 1
25) 64 x2 - 48 xy + 9 y2
26) 49 p2 - 100
-10
27) 16x2 - 6)
28) 1
29) -1
1
30)
16
y
10
5
31)
-10
-5
5
10
y
10
4
9
34)
1
y10
35)
1
t2
36) 2r2
1
37)
t8
5
-5
5
-5
1
25
33)
-10
7)
27
125
32) - -5
-10
10
38)
x17
y13
39) -6 + -10
8) - 9)
6
7
3
4
10) {(-5, -2)}
9
25
4
x3
40) 4.4 × 104
41) 1.18 × 10-4
42) 5,450,000
43) .000329
44) 6m 3 (5m 5 + 6m 2 + 10)
45) (5a 2 - 6b2 )(3a - 5b)
46) (r2 + 2)(r + 1)
47) 2(x - 3)(x - 5)
48) -3(3x - 2)(2x + 3)
49) (3z + 4)(5z - 4)
50) (7x + 3)(7x - 3)
51) Prime
52) (x2 + 4)(x + 2)(x - 2)
53) (5x + 3)2