Download Test 2 - Shelton State

Mth 098 Practice Problems - Test 2 sections 11.1 - 11.4, 15.3, 12.1, 12.2 Spring 2008
Decide whether or not the ordered pair is a solution to the
equation.
1) 4x + y = 19; (4, 3)
Complete the ordered pairs. Then graph the equation by
plotting the points and drawing a line through them.
7) x = y + 7
(0, ), ( , 0), (3, )
y
2) 4x - 2y = 22; (3, 5)
10
Complete the ordered pair for the equation.
3) y = -4x - 15 (-6, )
4) y = -6x - 13
5
( , 0)
-10
-5
5
10
x
-5
Complete the table of values. Write the results as ordered
pairs.
5) 5x + y = -27
x
-6
0
1
-10
y
Find the intercepts for the graph of the equation.
8) -2x + y = 2
9) -2x + 3y = 6
Graph the linear equation. Where possible, find the x and y- intercepts.
10) 4x - y = -4
Give the ordered pairs for the points labeled on the graph.
6)
y
y
A
10
5
x
-10
-5
5
B
-5
-10
1
10
x
7
14) (0, - ) (7, 0)
2
11) y = -7x
y
-10
y
10
10
5
5
-5
5
10
x
-10
-5
5
-5
-5
-10
-10
Use the indicated point coordinates to find the slope of
the line.
12)
y
16) (-3, -8) and (1, -8)
5
17) (8, -4) and (8, 9)
-5
5
10
x
Find the slope of the line.
18) 4y = x + 13
-5
19) y = 4x - 13
-10
20) 3x - 4y = 25
13)
21) y = 1
y
10
22) x = 1
5
-10
-5
5
10
x
Find the slope of the line through the pair of points.
15) (-3, 7) and (-6, -7)
10
-10
10
x
-5
-10
2
Decide whether the slope is positive, negative, zero, or
undefined.
23)
Use the geometric interpretation of slope (rise divided by
run) to find the slope of the line. Then, by identifying the
y-intercept from the graph, write the slope-intercept form
of the equation of the line.
26)
y
y
10
5
x
-10
-5
5
10
x
-5
-10
24)
y
Write the equation of the line with the given slope and
y-intercept.
3
27) slope - ;
2
y-intercept (0, 8)
x
Graph the equation by finding the slope and y -intercept.
28) 3x + y = -1
y
10
5
25)
y
-10
-5
5
-5
-10
x
3
10
x
29) y = 2x - 2
32) (6, 10) , m = y
2
3
10
y
10
5
5
-10
-5
5
10
x
-10
-5
-5
5
10
x
-5
-10
-10
Graph the line through the given point with the given
slope.
1
30) (4, 0), m = - 2
Solve the system by the elimination method.
33) x - 2y = -10
8x - 2y = 32
y
10
34) x - 7y = 33
-2x - 8y = 22
5
35) 2x - 5y = 2
6x - 15y = 8
-10
-5
5
10
x
36) 3x + 4y = 15
9x + 12y = 45
-5
-10
Solve by the substitution method.
37) x - 2y = -3
8x - 3y = -37
31) (-2, -4), m = 3
y
38) x + y = 7
2x + 2y = 14
10
5
-10
-5
39) 8x - 6y = 36
2x + 2y = -12
5
10
x
Identify the polynomial as a monomial, binomial,
trinomial, or none of these. Give its degree.
40) 10y5 - 9
-5
-10
41) -13a 10
Evaluate the polynomial.
42) -3x5 - 6x4 + 3x3 - x2 for x = -2
4
Perform the indicated operation.
43) (4 + 2n 7 - 4n 4 ) + (3n 7 + 6n 4 - 5)
44) Add.
2n 7 + 5n 5 + 3
4n 7 - 9n 5 + 4
45) (6x2 + 3x4 - 8 + 2x3 ) - (-7 + 5x3 + 9x4 + 9x2 )
46) Subtract.
20a 5 - 5a 4
13a 5 - 3a 4
Simplify the expression. Use positive exponents. Assume
variables represent nonzero real numbers.
47) (-8)(-8)3 (-8)(-8)(-8)4
48) (-7p6 )(7p5 )
Use the power rules for exponents to simplify. Write the
answer in exponential form.
49) -3 4 5
50) (2x3 y2 )3
Simplify the expression. Use positive exponents. Assume
variables represent nonzero real numbers.
1 4
51)
x5
52) (-2p)6 (-2p)8
53) (3p3 s 4 )4 (s3 )
54) -r2 s 2 -r3 s4 5
5
Answer Key
Testname: 098 PRAC PROB TEST 2
1) Yes
2) No
3) (-6, 9)
13
4) (- , 0)
6
5) (-6, 3); (0, -27); (1, -32)
6) A(5, 5); B(0, -3)
7) (0, -7), (7, 0), (3, -4)
y
10
5
-10
-5
5
10
x
5
10
x
5
10
x
-5
-10
8) (- 1, 0); (0, 2)
9) (-3, 0); (0, 2)
10)
y
10
5
-10
-5
-5
-10
11)
y
10
5
-10
-5
-5
-10
12) 2
6
Answer Key
Testname: 098 PRAC PROB TEST 2
13) 0
1
14)
2
15)
14
3
16) 0
17) Undefined
1
18)
4
19) 4
3
20)
4
21) 0
22) Undefined
23) Negative
24) Undefined
25) Positive
4
26) y = - x - 4
7
3
27) y = - x + 8
2
28)
y
10
5
-10
-5
5
10
x
5
10
x
-5
-10
29)
y
10
5
-10
-5
-5
-10
7
Answer Key
Testname: 098 PRAC PROB TEST 2
30)
y
10
5
-10
-5
5
10
x
5
10
x
5
10
x
-5
-10
31)
y
10
5
-10
-5
-5
-10
32)
y
10
5
-10
-5
-5
-10
33) (6, 8)
34) (5, -4)
35) No solution
36) Infinite number of solutions
37) (-5, -1)
38) Infinite number of solutions
39) (0, -6)
40) Binomial, degree 5
41) Monomial, degree 10
42) -28
8
Answer Key
Testname: 098 PRAC PROB TEST 2
43) 5n 7 + 2n 4 - 1
44) 6n 7 - 4n 5 + 7
45) -6x4 - 3x3 - 3x2 - 1
46) 7a 5 - 2a 4
47) (-8)10
48) -49p11
49) - 320
50) 8x9 y6
51)
1
x20
52) 2 14p14
53) 81p12s 19
54) -r19s22
9