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Exam 1 - Pretest
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Name the property illustrated.
1) 9 · 1 = 9
A) Associative property
C) Identity property
B) Distributive property
D) Commutative property
2) (7 + 2) + 2 = (2 + 7) + 2
A) Commutative property
C) Associative property
4) (5a)(-5x - 6y)
A) 560
2)
B) Identity property
D) Distributive property
Evaluate the expression, given x = -2, y = 3, and a = -4.
3) -6x - 5y + 3a
A) 41
B) 3
B) -160
Add or subtract as indicated.
5) (7n 6 + 7n 3 - 3n) - (3n 6 + 2n 3 - 15n)
A) 4n 6 + 5n 3 - 18n
C) 4n 6 + 10n 3 - 18n
C) -15
D) -20
C) 60
D) 160
4)
6)
B) -16x9 - 16x8 + 6x7 + 2
C) -7x48 - 9
3)
5)
B) 21n 10
D) 4n 6 + 5n 3 + 12n
6) (-7 - 2x7 + 8x9 - 5x8 ) + (-9x8 - 6x7 - 2 + 7x9 )
A) 15x 18 - 14x16 - 8x 14 - 9
1)
D) 15x 9 - 14x8 - 8x7 - 9
Find expressions for the Revenue, Cost, and Profit from selling x thousand items.
Fixed Cost
Variable Cost
7) Item Price
$8.00
$90,411
-3x2 + 3480x - 100
7)
A) R = 8000x; C = 3x2 + 3480x + 90,311; P = -3x2 - 2680x - 90,311
B) R = 8000x; C = -3x2 + 3480x + 90,311; P = 3x2 - 2680x - 90,311
C) R = 8000x; C = -3x2 + 3480x + 90,411; P = 3x2 - 2680x - 90,311
D) R = 8000x; C = -3x2 + 3480x + 90,311; P = 3x2 - 2680x - 90,411
Factor completely.
8) x2 - x - 30
A) (x + 6)(x - 5)
9) x2 + 4x - 77
A) Prime
B) Prime
C) (x + 1)(x - 30)
B) (x - 11)(x + 1)
C) (x + 11)(x - 7)
1
D) (x + 5)(x - 6)
D) (x - 11)(x + 7)
8)
9)
10) x2 + 5x - 24
A) (x + 3)(x + 1)
B) Prime
C) (x - 3)(x + 8)
D) (x + 3)(x + 8)
C) 64
1
D)
-64
Evaluate the expression. Write answer without exponents.
11) 2 -6
A) -64
12)
1
B)
64
4 1/2
9
2
3
C)
Simplify the expression.
13) 17 · 16
A) 16 17
B) 4 17
C)
Solve the equation.
14) 14x + 2 = 10
4
A)
7
6
B)
7
1
C)
2
4
D) 7
15) 19s + 20 = 4s
20
A)
23
4
B) 3
4
C)
3
3
D)
4
16) 2(y + 2) = 3(y - 7)
A) 17
B) 25
C) -25
D) -17
7 1
B) ,
4 2
7
C)
4
7 1
D) - , 4 2
B) -5, 3
C) 5, 3
D) 5, -3
B)
1
4
D)
2
4
13)
33
D) 33
17) 5s - 5 = s + 2
A) No solution
Use factoring to solve the equation.
18) x2 + 2x - 15 = 0
A) -5, 1
11)
12)
1
3
A)
10)
14)
15)
16)
17)
Use the quadratic formula to solve the equation. Give both exact and approximate answers.
19) 2m 2 + 6m + 1 = 0
A)
-3 ± 11
; 0.158, -3.158
2
B)
-3 ± 7
; -0.177, -2.823
2
C)
-6 ± 7
; -1.677, -4.323
2
D)
-3 ± 7
; -0.089, -1.411
4
2
18)
19)
20) 2x2 + 8x = - 7
-4 ± 2
; -0.646, -1.354
A)
4
C)
20)
-8 ± 2
; -3.293, -4.707
B)
2
-4 ± 30
; 0.739, -4.739
2
D)
-4 ± 2
; -1.293, -2.707
2
Use the discriminant to determine the number of real solutions of the equation.
21) s2 + 3s + 2 = 0
A) 2
22) 36x 2 + 12x + 1 = 0
A) 1
B) No real solutions
C) 1
B) No real solutions
C) 2
Find the slope of the line, if it is defined.
23) Through (-2, -9) and (-8, 9)
A) 3
B) 18
C) -3
21)
22)
23)
D) 6
Decide whether the pair of lines is parallel, perpendicular, or neither.
24) 3x - 2y = 13
2x + 3y = -16
A) Perpendicular
B) Neither
24)
C) Parallel
Find an equation of the line with slope m that passes through the given point. Put the answer in slope-intercept form.
2
25) (4, 5), m = 25)
7
A) y =
43
2
x+
7
7
26) (0, 7), m =
A) y = -
B) y = -
43
2
x7
7
C) y =
43
2
x7
7
D) y = -
43
2
x+
7
7
7
2
7
x-7
2
26)
B) y = -
7
x+7
2
C) y =
7
x-7
2
Write an equation in standard form for a line passing through the pair of points.
27) (-4, -6) and (0, -9)
A) -2x - 9y = -81
B) 3x - 4y = 36
C) 2x + 9y = -81
D) y =
7
x+7
2
D) -3x - 4y = 36
Solve the problem.
28) Suppose the sales of a particular brand of appliance satisfy the relationship S = 50x + 4800, where S
represents the number of sales in year x, with x = 0 corresponding to 1982. Find the number of sales
in 1987.
A) 10,050
B) 5050
C) 10,100
D) 5000
29) Assume that the sales of a certain appliance dealer are approximated by a linear function. Suppose
that sales were $14,500 in 1982 and $65,500 in 1987. Let x = 0 represent 1982. Find the equation
giving yearly sales S.
A) S = 51,000x + 65,500
B) S = 10,200x + 14,500
C) S = 51,000x + 14,500
D) S = 10,200x + 65,500
3
27)
28)
29)
Solve the inequality.
30) A car rental company has two rental rates. Rate 1 is $45 per day plus $0.18 per mile. Rate 2 is $90
per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to
drive to pay less by taking Rate 2?
A) more than 3500 miles
B) more than 3600 miles
C) more than 7000 miles
D) more than 12,250 miles
4
30)
Answer Key
Testname: EXAM1PRETEST
1) C
2) A
3) C
4) D
5) D
6) D
7) B
8) D
9) C
10) C
11) B
12) A
13) B
14) A
15) B
16) B
17) B
18) B
19) B
20) D
21) A
22) A
23) C
24) A
25) D
26) D
27) D
28) B
29) B
30) A
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