Download MTH 098 TEST 2 SP 10.tst

MTH 098 TEST 2 SPRING 2010
SHOW YOUR WORK!
All fractional answers should be in lowest terms and should be expressed as integers if possible.
Each problem counts TWO POINTS unless otherwise marked.
__________________________________________________________________________________________________________
5
1
Simplify.
6) (x - 4) + (x + 4) = x + 3
6
3
1) 99 - 2 · 4 · 5
Find the value of the expression.
2) 5[3 2 + 4(7 + 8)]
Simplify the expression.
3) 4 + 8(8 - 9m)
4) -5(-6x + 1) - (3x + 5) - 6x + 6
Solve the problem. You MUST include your equation.
7) If the first and third of three consecutive odd
integers are added, the result is 45 less than
five times the second integer. Find the third
integer.
Solve the equation. Do not use decimals.
5) 8x - (7x - 1) = 2
Solve the formula for the specified variable.
8) A = P(1 + nr) for n
Give the ordered pairs for the points labeled on the
graph.
11)
C
Solve the inequality, then circle the correct graph of the
solution. SHOW WORK!
9) -35x + 25 ≤ -5(6x + 4)
A) x ≤ 9
6
7
8
9
10
11
6
7
8
9
10
11
B) x > 9
C) x < 9
6
7
8
9
10
11
6
7
8
9
10
11
D) x ≥ 9
Complete the table of values. (3 pts)
10) y = -x + 6
x
2
6
0
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1-1
-2
-3
-4
-5
-6
-7
y
1 2 3 4 5 6 7 x
D
Use the slope and y-intercept OR make a chart to graph
the equation. Show at least three points. (3 pts)
2
12) y = x - 2
5
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
-2
-3
-4
-5
-6
y
1 2 3 4 5 6 x
Find the intercepts for the graph of the equation. State
them as ORDERED PAIRS.
13) -2x + 5y = 10
x-int____________ y-int_______________
Graph the linear equation. Show at least TWO points.
14) y + 5 = 0
16) x = -8
8
7
6
5
4
3
2
1
-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
y
1 2 3 4 5 6 7 8 9 x
y
5
-5
5
x
Find the slope of the line through the pair of points.
Simplify the final answer if possible.
17) (-2, -3) and (5, -7)
-5
18) (-7, 6) and (-2, 6)
Graph the linear equation. Show at least TWO points.
15) 6x - y = 0
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1-1
-2
-3
-4
-5
-6
y
19) (3, -2) and (3, -3)
1 2 3 4 5 6 x
Find the slope of the line.
20) 2x - 3y = 13
Slope_______________
Write the equation of the line with the given slope and
y-intercept.
6
21) slope - ;
5
25) 3x + 6y = 12
15x + 30y = 60
y-intercept (0, 8)
Graph the line through the given point with the given
slope. Show at least one ADDITONAL point besides the
given point. Stay on the grid.
22) (-2, -4), m = 3
y
7
6
5
4
3
2
1
-7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
Identify the polynomial as a MONOMIAL, BINOMIAL,
TRINOMIAL, or NONE of these. GIVE ITS DEGREE.
26) 14x4 + 9w3 + 4w - 3y5 + 2
27) -13x2
1 2 3 4 5 6 7 x
Solve the system by the elimination method.
23) 2x - 5y = 16
-7x + 3y = 2
28) -8y5 - 2y4 + 4
29) 9y5 - 7
Evaluate the polynomial.
30) 3x3 + 3x2 - x - 4
for x = -2
Perform the indicated operation. Write the answer with
descending powers. (#ʹs 31 and 34 are 2 pts); 32 and 33
are 3 pts)
31) (3a 3 + 4a 2 ) + (9a 3 + 5a 2 )
24) 9x - 4y = 9
36x - 16y = 45
32) (8n 5 + 8n 4 - 5) - (-4n 4 + 6n 5 + 16)
33) Add.
4n 5 - 2n 2 - 3
41) x · x11
9n 5 - 7n 2 - 6
42) (-7p6 )(-8p9 )
34) Subtract.
4a 4 - 4a 2
20a 4 - 2a 2
Find the perimeter of the geometric figure.
35)
7k2 + 4x
43) (-2xy)4 (3 pts)
8k2 + 9
44) (-2x5 y2 )3 (3 pts)
Identify the base and the exponent for the exponential
expression.
36) -4x5
Base________
Exponent________
37) (-2x)4
45) -r3 s 2 -r2 s3 5 (3 pts)
Base________
Exponent________
38) -(-5)3
Base________
Exponent________
39) -y5
Base________
Exponent________
Simplify the expression. Write normal numbers when
possible: for example, 6 2 should be written as 36.
40) s9 · s3 · s3
46)
3x3 3 (3 pts)
y2
Answer Key
Testname: MTH 098 TEST 2 SP 10
1)
2)
3)
4)
5)
6)
7)
59
345
68 - 72m
21x - 4
1
6
17
A - P
8) n = Pr
15)
y
5
-5
9) D
10) (2, 4); (6, 0); (0, 6)
11) C(-2, 7); D(5, -3)
12)
5
-5
16)
y
8
7
6
5
4
3
2
1
5
-5
5
x
-9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-5
13) (-5, 0); (0, 2)
14)
17) - y
5
-5
y
1 2 3 4 5 6 7 8 9x
4
7
18) 0
19) Undefined
2
20)
3
5
-5
x
x
6
21) y = - x + 8
5
22)
y
5
-5
5
-5
23) {(-2, -4)}
24) ∅
x
Answer Key
Testname: MTH 098 TEST 2 SP 10
25) {(x, y)| 3x + 6y = 12}
26) None, degree 5
27) Monomial, degree 2
28) Trinomial, degree 5
29) Binomial, degree 5
30) -14
31) 12a 3 + 9a 2
32) 2n 5 + 12n 4 - 21
33) 13n 5 - 9n 2 - 9
34) -16a 4 - 2a 2
35) 30k2 + 8x + 18
36) Base: x, exponent: 5
37) Base: -2x, exponent: 4
38) Base: -5, exponent: 3
39) Base: y, exponent: 5
40) s15
41) x12
42) 56p15
43) 16x4 y4
44) -8x15y6
45) -r16s17
46)
27x9
y6