MATH 0409
REVIEW 3
L F Thomas - Instructor
Graph.
Determine whether the given ordered pair is a solution of
the equation.
1) 2x + y = 11; (3, 5)
6) y = 2
Graph the linear equation.
2) x + 4y = -1
7) x = 3
Find the coordinates of the y-intercept for the given
equation.
3) x + 2y = -3
Find the coordinates of the y-intercept and the coordinates
of the x-intercept.
4)
Find the coordinates of the y-intercept and the x-intercept,
in that order.
8) -2x - 4y = 8
Find the coordinates of the y-intercept and the x-intercept,
in that order.
5) -5x - 4y = 0
1
Draw a line that has the given slope and y-intercept.
1
15) Slope ; y-intercept (0, 2)
6
Find the coordinates of the y-intercept and the coordinates
of the x-intercept.
9)
Find the coordinates of the y-intercept for the given
equation.
10) x + 2y = 5
16) Slope
1
; y-intercept (0, 6)
4
Graph the linear equation.
11) x + 5y = -8
Find the slope of the line.
17) 3x + 4y = 25
Graph using the slope and the y-intercept.
18) x + y = -7
Determine whether the given ordered pair is a solution of
the equation.
12) 3x + y = 10; (2, 4)
Find the slope of the line going through the pair of points.
13) (5, 1), (6, 3)
Find the slope of the line.
14) 4x + 5y = 22
2
19) 2x - y = 6
What is the meaning of the expression?
24) 3 6
Evaluate.
25) -3 0
26) -
2 0
7
27) xy1
28) m 3 when m = 5
Choose the ordered pair which is a solution of the
inequality.
20) 2x + 3y 5
(0, 2), (1, 2), (3, 2), (1, 1)
Express using positive exponents. Then simplify.
29) 2 -4
21) x + y 0
(-1, 0), (0, -1), (1, -1), (-2, 1)
30)
Graph the linear inequality.
22) 5x + y 3
1
x-5
Express the following using negative exponents.
1
31)
54
Simplify.
32) (-2x4 y)3
33)
3 3
2y
Multiply and simplify.
34) 5 11 · 5 -3
23) x + 3y 6
Divide and simplify.
p3
35)
p-5
Write the number in scientific notation.
36) 0.000603
37) 890,000
38) 0.000007064
3
Convert to decimal notation.
39) 4.93 × 10-4
54) (4x - 8)(x + 12)
55) (x - 11)(x - 3)
Multiply or divide and write scientific notation for the
result.
40) (6 × 109 )(8 × 106 )
56) (3x - 4)(x - 2)
57) (7p - 6)(7p + 6)
9 × 103
41)
3 × 10-5
58) (2y2 - 4)(2y2 + 4)
Evaluate the polynomial.
42) -6x + 5, when x = 4
59) (5m + 3)2
Evaluate the polynomial.
60) x2 + 2y2 - 3xy for x = 2 and y = 3
43) -2x2 + 6x - 2, when x = -2
Identify the terms in the polynomial.
44) 3y11 - 12y2 - 6y
61) -2x2 - y2 + xy for x = -3 and y = 2
Collect like terms.
62) 4x2 y + 9z 2 y + 9x2 y - 4z 2 y
Identify the polynomial as a monomial, binomial,
trinomial, or none of these. Give its degree.
45) -11s5 + 6s - 4
Add.
46) 15y7 - 3
63) (10s + 18t) + (17t - 8s)
Subtract.
64) (13x + 8xy - 5y) - (25x - 29xy - 22y)
Identify the coefficient of each term of the polynomial.
47) -5t + 2t2
Multiply.
65) (p + 11q)(p - 11q)
Identify the degree of each term and the degree of the
polynomial.
48) 5x - 8x2 + 8 - 5x3
66) (w - z)(w2 + z 2 + 4wz)
Collect like terms.
49) -13b7 + 8b6 - 2b5 + 4b7 - 3b6
Subtract.
67) (25x + 7xy - 8y) - (10x - 17xy - 30y)
Collect like terms and then arrange in descending order.
50) -3x5 + 3x6 + 9x + 9x6 + 8x + 6x5
Divide.
68)
20x8 + 60x2 + 50x
10x
51) 3x6 + 2x8 - 6x6 + 14x8 - 2x8
Perform the division.
69) (x2 - 49) ÷ (x - 7)
Multiply.
52) -8x(6x - 7)
70)
53) 9x3 (-4x + 2)
4
-16x3 - 4x2 - 6x - 9
4x + 3
Answer Key
Testname: REVIEW 3TST
1) Yes
2)
11)
12) Yes
13) 2
4
14) 5
3
3) 0, 2
4) (0, -2), (-7, 0)
5) (0, 0) (0, 0)
6)
15)
16)
7)
17) -
8) (0, -2) (-4, 0)
9) (0, -7), (-4, 0)
5
10) 0,
2
5
3
4
Answer Key
Testname: REVIEW 3TST
18)
23)
19)
24)
25)
26)
27)
28)
3 ·3 ·3 ·3 ·3 ·3
-1
1
xy
125
1
29)
16
30) x5
31) 5 -4
32) (-2)3 x12y3
33)
20) (1, 1)
21) (1, -1)
22)
27
8y3
34) 5 8
35) p8
36) 6.03 × 10-4
37) 8.9 × 105
38) 7.064 × 10-6
39) 0.000493
40) 4.8 × 1016
41) 3 × 108
42) -19
43) -22
44) 3y11, -12y2 , -6y
45)
46)
47)
48)
Trinomial, degree 5
Binomial, degree 7
-5 and 2
1, 2, 0, 3; 3
49) -9b7 + 5b6 - 2b5
50) 12x6 + 3x5 + 17x
51) 14x8 - 3x6
52) -48x2 + 56x
53) -36x4 + 18x3
6
Answer Key
Testname: REVIEW 3TST
54) 4x2 + 40x - 96
55) x2 - 14x + 33
56) 3x2 - 10x + 8
57) 49p2 - 36
58) 4y4 - 16
59) 25m 2 + 30m + 9
60) 4
61) -28
62) 13x2 y + 5z 2 y
63) 2s + 35t
64) -12x + 37xy + 17y
65) p2 - 121q2
66) w3 - 3wz 2 + 3w2 z - z 3
67) 15x + 24xy + 22y
68) 2x7 + 6x + 5
69) x + 7
70) -4x2 + 2x - 3
7