Download Math 46 - Packet C.tst

Math 46 - Final Exam Sample Packet C
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Simplify the expression.
1) (-9)0 + (-14)0
A) 0
1)
B) 2
C) -2
D) -23
Simplify.
2)
2)
x
6
7
x+ 4
A) 42x(x + 4)
B)
x(x + 4)
42
C)
x+ 4
42x
D)
6x
7(x + 4)
3)
3)
x
4
7
x+ 7
A)
x(x + 7)
28
B)
4x
7(x + 7)
C)
4) If Q(x) = 4x2 + 3x + 2, find Q(-1).
A) 1
B) -5
x+ 7
28x
D) 28x(x + 7)
4)
C) 9
D) 3
Perform the division.
-18x6 - 15x4 - 12x2
5)
-3x4
A) 6x2 + 5 + 4
x
5)
B) 6x + 5 + 4
x2
C) 6x2 + 5 + 4
x2
Perform the indicated operation. Simplify if possible.
x
6
6)
x2 - 16 x2 + 5x + 4
D) 6x + 5 + 4
x
6)
A)
x2 - 5x + 24
(x - 4)(x + 4)(x + 1)
B)
x2 - 5
(x - 4)(x + 4)(x + 1)
C)
x2 + 5x + 24
(x - 4)(x + 4)(x + 1)
D)
x2 - 5x + 24
(x - 4)(x + 4)
1
Write the number in standard notation.
7) 1.59 × 10 -4
A) 0.000159
7)
B) -159,000
C) 0.0000159
D) -0.000159
Solve the inequality. Graph the solution set.
8) |x + 16| < 17
8)
A) (-∞, 1)
-15
-10
-5
0
5
10
15
20
B) (-33, 1)
-30
-25
-20
-15
-10
-5
0
5
C) (-1, 33)
0
5
10
15
20
25
30
35
-50
-45
-40
-35
-30
-25
-20
-15
D) (-∞, -33)
Find an equation of the line. Write the equation in standard form.
9) Through (2, 3); perpendicular to 2x - 5y = 2
A) 2x + 5y = 16
B) 2x - 5y = 16
C) 5x + 2y = 16
9)
D) 5x - 2y = 16
Solve the equation.
2(8 - x) = -x
10)
3
A) -2
11)
10)
B) -16
C) 2
D) 16
x = -2x + 2x - 3
2x + 2 4x + 4
x+1
A) 3
11)
B)
3
2
C) no solution
D) -3
C) p = -4
D) p = -6
Solve.
12) -3(2p + 5) - 10 = -2(p + 6) + 3
A) p = 6
12)
B) p = 4
13) Linda and Dave leave simultaneously from the same starting point biking in opposite directions.
Linda bikes at 7 miles per hour and Dave bikes at 8 miles per hour. How long will it be until
they are 20 miles apart from each other?
1
3
5
A) 20 hr
B) 1 hr
C) hr
D)
hr
3
4
14
2
13)
Subtract as indicated.
6 4
14) 9 7
A)
14)
2
3
B)
2
9
C)
2
63
D)
Find the slope of the line that passes through the given points.
15) (9, 1) and (2, -7)
6
7
8
A) B)
C) 11
8
7
15)
D)
Solve the compound inequality. Graph the solution set.
16) 6x - 4 < 2x or -4x ≤ -12
1
A) (-∞, 1) ∪ [3, ∞)
B) (1, 3)
1
2
2
3
3
4
8
7
16)
4
5
2
21
5
6
6
7
7
8
8
C) [1, 3]
1
2
3
4
5
6
7
D) ∅
-3
-2
-1
0
1
2
3
8
Multiply.
17) (x - 6)(x2 - 8)
A) x2 - 14x + 48
17)
B) x3 - 8x2 - 6x + 48
D) -6x2 + x + 48
C) x3 - 6x2 - 8x + 48
3
Solve the system of equations by graphing.
18) y = -x - 3
y = 2x + 3
18)
y
6
4
2
-6
-4
-2
2
4
6
x
-2
-4
-6
A) no solution
B) (-2, -1)
C) (1, -2)
D) (-2, 1)
Perform the indicated operation.
19) (8n7 - 6n5 - 19) - (2n7 + 13n5 - 5)
19)
A) 6n7 - 19n5 - 24
B) -27n12
C) 6n7 - 19n5 - 14
D) 6n7 - 4n5 - 24
Factor out the GCF, greatest common factor, from the polynomial.
20) 80m7 + 64m5 + 24m3
20)
A) 8m3(10m4 + 8m2 + 3)
B) -m3(-80m4 + 64m2 - 24)
C) m3(80m4 + 64m2 + 24)
D) 8(10m7 + 8m5 + 3m3)
Simplify.
21)
1 (12x - 8)
4
A) 48x - 32
21)
B) x
C) 3x - 2
4
D) 3x - 8
Use the slope-intercept form to graph the equation.
1
22) y = - x + 3
3
22)
A)
B)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
C)
5
10 x
5
10 x
D)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
23) x2 - 2x - 15
23)
A) prime
B) (x + 5)(x + 1)
C) (x - 5)(x + 3)
D) (x + 5)(x + 3)
24) x2 - 5x - 6
A) prime
B) (x + 1)(x - 6)
C) (x - 1)(x - 6)
D) (x - 1)(x + 1)
24)
5
Solve the inequality. Graph the solution set and write it in interval notation.
25) 10 ≤ 2(x - 1) ≤ 14
A) [6, 8)
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15
B) (6, 8)
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15
C) [6, 8]
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15
D) (6, 8]
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15
25)
Find the product and simplify.
7x4y 4 ∙ y 4
26)
-56xy 8
A)
x3
-8
Solve the absolute value equation.
27) |5x + 8| + 12 = 8
4
12
A) - , 5
5
26)
B)
x4
-8
C)
x3y
-8
D)
x4
-8y
27)
4 12
B) ,
5 5
1
3
C) - , 2
2
6
D) ∅
The figure shows two parallel lines intersected by a transversal. One of the angle measures is given. Find the measure
of the indicated angle.
28)
28)
37°
Find the measure of ∠2.
A) 53°
B) 27°
C) 127°
D) 37°
Graph the solution of the system of linear inequalities.
x ≥ 2y
29)
x + 2y ≤ 5
29)
A)
B)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
C)
5
10 x
5
10 x
D)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
7
Graph the function.
30) g(x) = |x - 5|
30)
A)
B)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
C)
5
10 x
5
10 x
D)
y
-10
y
10
10
5
5
-5
5
10 x
-10
-5
-5
-5
-10
-10
8
Answer Key
Testname: MATH 46 - PACKET C
1) B
2) B
3) A
4) D
5) C
6) A
7) A
8) B
9) C
10) B
11) A
12) C
13) B
14) D
15) D
16) A
17) C
18) B
19) C
20) A
21) C
22) A
23) C
24) B
25) C
26) A
27) D
28) D
29) D
30) A
9