B) (2, -2)

Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Solve the system using the addition method.
1)
4x + y = 6
6x - y = 14
A) (-1, -1)
C) There is no solution.
B) (2,
-2)
D) (-2, 2)
2) Ramona invested her retirement money in two separate funds at the beginning of 2000.
2)
One of the funds yielded 2.5% during the year, and the other yielded 6%. The amount
allocated to the fund that made 2.5% was three times as much as the other one. If the
total INCREASE in value during 2001 was $810, how much was invested in each fund?
A) $18,000 in the 2.5% fund; $6000 in the 6% fund
B) $10,500 in the 2.5% fund; $3500 in the 6% fund
C) $13,500 in the 2.5% fund; $4500 in the 6% fund
D) $22,500 in the 2.5% fund; $7500 in the 6% fund
3) Use the graph to determine the solution to the system.
3)
-3x + y = 10
x - y = -6
A)
(–2, 4)
B) -
10
,0
3
C)
1
(0, 10)
D)
no solution
4) After not studying hard enough and losing his academic scholarship, Mark needs to
4)
borrow money from 2 different banks to pay his tuition. Bank Seven charges 12%
simple interest, while First Collegiate Bank charges 10%. Mark had to borrow twice as
much from Bank Seven as he did from First Collegiate Bank. After one year, the
combined interest he owed was $714. How much did Mark borrow in total?
A) $6300
B) $2100
C) $4200
D) $2600
5) An old jar of dimes and quarters contains 200 coins total, and the value of all the coins is
$42.50. How many quarters are in the jar?
A) 127
B) 50
C)
6) Graph the inequality.
130
D)
5)
150
6)
x < 4y – 8
A)
B)
C)
D)
2
7) Miguel and Rosa were hired at an advertising agency at the same time. Miguel's starting
7)
salary was $36,000 and he gets an annual raise of $2,000. Rosa's starting salary was
$32,000, but she gets an annual raise of $3,000. Their current salaries can be computed
using the following formulas, where x is years since they were hired.
Miguel: y = 36,000 + 2,000x
Rosa: y = 32,000 + 3,000x
Using a graph, determine when their salaries will be the same.
A) after 4 years
B) never
C) after 2 years
D) after 6 years
8) Solve the system using the addition method.
8)
-11x - 2y = 8
11x + 2y = 121
A)
(1, 8)
B) There
C)
{(x, y) | 11x + 2y = 121}
D)
is no solution.
1 3
,2 4
9) Solve the system using the addition method.
9)
5x - 8y = 4
10x = 16y + 8
A) There is no solution.
C) (0, -0.5)
B) {(x,
y): 5x - 8y = 4}
D) (5, 8)
10) How much 12% acid solution must be added to 9 gallons of a 5% acid solution to get a
mixture that is 7% acid?
A) 3.6 gallons
B) 4.9 gallons
C)
4.3 gallons
D)
3.2 gallons
11) A helicopter flies 296 miles against the wind in 2 hours; with the wind, it can fly 444
miles in the same amount of time. Find the speed of the helicopter in still air.
A) 185 miles per hour
B) 148 miles per hour
C) 111 miles per hour
D) 37 miles per hour
3
10)
11)
12) Solve the system by graphing.
12)
x+y=9
3x + y = 15
A) (3, 6)
B) no solution
C) (6, -3)
D) (6, 3)
13) Determine if the given point is a solution to the system.
5y = 19 - 6x (-4, 1)
6y = -10 + x
A) no
B) yes
4
13)
14) Graph the inequality.
y
14)
-11x - 44
A)
B)
C)
D)
15) A printing facility prints and packages baseball cards. In April, they package the cards
15)
so that each pack has 20% star players and 80% journeymen. In May, each pack contains
35% star players. A national retailer places an order for 10,000 packs, and wants them to
average 26% star players. How many packs from each month should the printing
facility include?
A) April: 5,000
B) April: 6,000
C) April: 8,000
D) April: 7,300
May: 5,000
May: 4,000
May: 2,000
May: 2,700
16) Solve the system using the addition method.
16)
-2x + 4y = 12
7x - 14y = -42
A) (1, 8)
C) (0, 3)
B) (–6,
0)
D) {(x, y) | -2x + 4y = 12}
5
17)
Two angles that are supplementary differ by 27 degrees. Find the smaller of the two.
207
153
degrees
degrees
A) 27 degrees
B)
C)
D) 63 degrees
2
2
18) $5400 is invested in two different accounts: a short-term account that pays 4% simple
17)
18)
interest and a long-term account that pays 6%. The amount of interest at the end of the
first year was $256. How much was invested in each account?
A) Short-term: $2600
B) Short-term: $4600
Long-term: $2800
Long-term: $800
C) Short-term: $3900
D) Short-term: $3400
Long-term: $1500
Long-term: $2000
19) Graph the inequality.
6y + 4x
19)
1
A)
B)
C)
D)
6
20) Solve the system using the addition method.
3x + 5y =
20)
1
2
4x + 15y =
A)
5 11
,
2 6
C)
(3, -5)
29
6
B) D)
2 1
,
3 2
There is no solution.
21) Multiply the polynomials.
21)
(2.2a + 7)(0.8a - 9)
A)
1.76a2 - 14.2a - 63
C) 1.76a2
B) 1.76a2
D)
- 63
- 5.6a - 7.2
3a - 63
22) Evaluate the expression for x = -1.
5x2
A)
-5
22)
B) -25
C)
D)
25
5
23) Multiply and write the answer in scientific notation.
(4.3 × 10-6 )(6.25 × 10-7 )
23)
A)
2.6875 × 10-12
B) 2.6875
C)
10.55 × 10-13
D)
× 10-14
26.875 × 10-13
24) Simplify.
(6z)-1
A)
1
6z
24)
B) -
1
6z
C)
6
z
D) -
6
z
25) Simplify.
y -5
A)
1
y5
25)
B) -5y
C) -
1
y5
D)
y-5
26) What is the degree of the polynomial?
8x2 - 8x4 + 19x
A)
2
26)
B) -8
C)
7
4
D)
8
27) Simplify the expression.
53
27)
5x
A)
5x8
B) 125x15
C)
125x8
D)
5x15
28) Simplify the expression.
2-1 + 3-1 + 3 4-2
A)
184
3
28)
B) 53
C)
23
96
D)
49
48
29) Simplify the expression. Write the answer in exponent form.
2 3 2
9
A)
29)
9
23
93
B)
24
9
4 3
81
C)
D)
23
9
30) A worm crawls along at a speed of 1.39×10-3 feet per second. How long would it take
30)
the worm to crawl a mile? Round your answer to the nearest second.
A) 12,000,014 seconds
B) 3,798,561 seconds
C) 8,491 seconds
D) 42,018 seconds
31) What is the degree of the polynomial?
3x5 y3 - 7x6 + 3y3
A)
5
31)
B) 15
C)
6
D)
8
32) Simplify the expression. Write your answer with positive exponents only.
x3
32)
x6
A)
1
x3
B) x9
C) x3
D)
-x3
33) Multiply and write the answer in scientific notation.
(1.1 × 109 )(3.4 × 108 )
A)
3.74 × 10017
B) 7.14
× 1017
C)
3.74 × 1072
33)
D)
3.74 × 1017
34) A fifteen foot long ladder is leaned against a wall so that the distance it reaches up the
wall is 3 feet more than the distance between the base of the ladder and the wall. How
far up the wall does the ladder reach?
1
A) 9 feet
B) 13 feet
C) 12 feet
D) 10 feet
2
8
34)
35) Identify the greatest common factor.
35)
28y, -42x, 14xy
A)
B) 14
x
C)
D)
14xy
y
36) Solve the equation.
36)
33y(y - 6)(y - 6) = 0
A) y = 6, y = 0
C) y = 0, y = 6, y = 33
B) y =
-6, y = -13
D) y = -6, y = 13, y = 33, y = 0
37) Factor out the opposite of the greatest common factor.
-21t5 - 28t4 - 35t2
A) -7t2 (3t3 + 4t2 + 5)
B) -21t5 ( -28t4
C) 21t2 (-t3 - t2 - 2)
D) -7(3t5 + 4t4
37)
- 35t2 )
+ 5t2 )
38) Factor out the greatest common factor.
12t – 18
A) 12(t – 18)
B) 6t(2
38)
C)
– 3)
6(2t – 3)
D)
12(t – 2)
39) Factor the trinomial using the ac-method.
5k2 - 49k + 72
39)
A)
B) (5k -
(5k + 9)(k + 8)
C) (5k - 8)(k - 9)
9)(k - 8)
D) (5k - 1)(k - 72)
40) Factor by grouping.
2x3 - 15 + 10x2 - 3x
A) (5x2 - 3)(x + 2)
C) 2x3
40)
B) (2x2
D) (2x2
- 15 + x(10x - 3)
- 5)(x + 3)
- 3)(x + 5)
41) When an object is dropped from a height of 194 feet, its height can be found using the
equation
h = -16t2 + 194
where t is seconds after the object is released. How long does it take the object to reach a
height of 130 feet?
A)
4 seconds
B) 2
C)
1
second
2
D)
9
seconds
2 seconds or –2 seconds
41)
42) Factor out the greatest common factor first. Then factor by grouping.
10t5 + 50t4 - 15t3 - 75t2
A)
(t + 5)(10t4 - 15t2 )
C)
5t2(2t2 - 3)(t + 5)
B) 5t2 (t + 5)(2t - 3)
D) (t2 + 5t)(10t3 - 15t)
43) Determine if the given point is a solution to the system.
4y = -40 - 4x
4y = 5 + x
A) yes
42)
43)
(-9, -1)
B) no
44) Solve the system using the addition method.
44)
-2x + 4y = -6
x - 2y = -15
A) There are infinitely many solutions.
C) (0, 0)
B) (2,
-6)
D) There is no solution.
45) A church group goes to the movies every Friday night. Last week, they bought 26 adult
45)
tickets and 12 youth tickets, at a total cost of $216. This week, they spent $193 on 18
adult tickets and 17 youth tickets. Find the cost of one adult ticket and one youth ticket.
A) Adult: $5
B) Adult: $8
C) Adult: $6
D) Adult: $5
Youth: $3
Youth: $4
Youth: $5
Youth: $5
46)
The sum of two positive numbers is 89. Their difference is 21. Find the numbers.
A) 50 and 39
B) 59 and 30
C) 55 and 34
D) 52 and 31
47) Is (3, 3) a solution to the inequality?
3x + 3y
A) yes
46)
47)
30
B) no
48) A dairy keeps two kinds of milk on hand, skim milk that has 0.2% butterfat and whole
48)
milk that has 3.4% butterfat. How many gallons of each type of milk does a company
need to produce 160 gallons of 1% milk for a grocery store?
A) 130 gallons of skim; 30 gallons of whole
B) 125 gallons of skim; 35 gallons of whole
C) 120 gallons of skim; 40 gallons of whole
D) 115 gallons of skim; 45 gallons of whole
49) Add the polynomials.
49)
(-3.3m + 0.7h) + (-6.2m - 4.8h)
A)
C)
-13.6mh
B) -9.5m
9.5m + 5.5h
D) -9.5m 2
10
- 4.1h
- 4.1h2
50) Simplify the expression. Write your answer with positive exponents only.
z2 y8
50)
y-8 z10
A)
1
z8
B)
1
C)
y16z8
y8
D)
z8
y16
z8
51) Multiply the conjugates.
51)
(-4z + 7t)(-4z - 7t)
A)
-16z2 - 49t2
C)
16z2 - 49t2
B) 16z2
D) 16z2
+ 49t2
- 56zt - 49t2
52) Simplify.
(-34)0
A)
1
52)
B) -34
C)
34
D)
0
53) Factor out the greatest common factor.
30x4 - 48x2 + 15x
A)
15x(2x3 - 3x + 1)
C)
x(30x3 - 48x + 15)
53)
B) 3x(10x3 - 16x + 5)
D) 30x4 (1 - 18x2 + 15x3 )
54) Factor the trinomial using the ac-method.
6n2 - 20n + 16
54)
A)
B) 2(3n
(6n - 8)(n - 2)
C) 2(3n + 4)(n + 2)
- 4)(n - 2)
D) (3n - 4)(2n - 4)
55) At one store, 5 pairs of jeans and 2 sweatshirts costs $213, while 3 pairs of jeans and 4
sweatshirts costs $195. Find the cost of one sweatshirt.
A) $24
B) $33
C) $35
D)
56) Solve the system using the substitution method.
2x + 8y = 39
-4x - 4y = -12
5 11
A) - ,
2 2
C)
D)
11
$21
56)
B)
1 1
,2 2
55)
5 13
,4
4
There is no solution.
57) Subtract the polynomials.
6.6x3
- 1.8x - 1.7
- (3.7x3 + 4.9x2
- 4.7 )
58)
A)
2.9x3 - 4.9x2 - 1.8x - 6.4
C)
2.9x3 + 4.9x2 + 1.8x + 3
57)
B) 4.7x3
D) 2.9x3
+ 4.9x2 + 1.8x - 6.4
- 4.9x2 - 1.8x + 3
58)
Identify the greatest common factor of 120 and 105.
A) 30
B) 45
C) 20
D)
15
59) Solve the system using the substitution method.
y = 7 - 2x
8x + 5y = 31
(-1,
2)
A)
B) (2,
59)
C)
3)
D)
(3, 2)
60) Multiply the polynomials.
5t3(5t4 - 4t2 + 6)
A)
25t12 - 20t6 + 30t3
C)
25t7 - 20t5 + 30t3
(3, -1)
60)
B) 25t7 - 4t2 + 6
D) 5t4 + 5t3 - 4t2
12
+6
Answer Key
Testname: TEST2SUMMEREAPRACTICE
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)
13)
14)
15)
16)
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18)
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20)
21)
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23)
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37)
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39)
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42)
43)
44)
45)
46)
47)
48)
49)
50)
B
A
A
A
D
D
A
B
B
A
A
A
A
B
B
D
C
D
C
B
A
D
A
A
A
C
B
D
B
B
D
A
D
C
B
A
A
C
B
D
B
C
A
D
C
C
A
C
B
D
13
Answer Key
Testname: TEST2SUMMEREAPRACTICE
51)
52)
53)
54)
55)
56)
57)
58)
59)
60)
C
A
B
B
A
A
D
D
B
C
14