Assessment Builder - Printer Friendly Version

•	Name:
•	Date:
1 
 	
2 
 	
3 
	
4 
	
5 
	
6 
	
7 
	
8 
	
9 
	
10 
	
11 
	
12 
	
13 
	
14 
	
15 
	
16 
	
17 
	
18 
	
19 
	
20 
	
21 
	
22 
	
23 
	
24 
	
25 
	
26 
	
27 
	
28 
	
29 
	
30 
	
31 
	
32 
	
33 
	
34 
	
35 
	
36 
	
37 
	
38 
	
39 
	
40 
	
41 
	
42 
	
43 
	
44 
	
45 
	
46 
	
47 
	
48 
	
49 
	
50 
	
51 
	
52 
	
53 
	
54 
	
55 
	
56 
	
57 
	
58 
 	
59 
 	
60 
	
61 
Which quadratic function is shown in the accompanying graph?

(1) y = -2x2
(2) y = 2x2
(3) y = -1/2x2
(4) y = 1/2x2
	
62 
If f(x) = 4x0+ (4x)-1, what is the value of f(4)? 

(1) -12
(2) 0
(3) 1 1/16
(4) 4 1/16
	
63 
The expression  is equivalent to

(1)  xy    
    y – x
(2)  xy    
    x – y
(3) y – x 
      xy
(4) y – x 
	
64 
The expression  is equivalent to

(1) 2a2b
(2) 
(3) 4a2b
(4) 
	
65 
Given: ΔABT, , and  ^ 

Write an indirect proof to show that  is not perpendicular to .
	
66 
                                                             x2 – 9x  
Written in simplest form, the expression 45x – 5x2 is equivalent to
(1) 1/5
(2) -1/5
(3) 5
(4) -5
	
67 
Which graph represents the solution set for the expression ½2x + 3½ > 7?

	
68 
The graphs of the equations y = 2x and y = -2x + a intersect in Quadrant I for which values of a?

(1) 0 < a < 1 
(2) a < 1 
(3) a ≥ 1
(4) a > 1
	
69 
For which quadratic equation is the axis of symmetry x = 3?

(1) y = -x2 + 3x + 5
(2) y = -x2 + 6x + 2
(3) y = x2 + 6x + 3
(4) y = x2 + x + 3
	
70 
                                      1  +      1    
Express in simplest form: x       x +3 
	
71 
As shown in the accompanying diagram, two tracking stations, A and B, are on an east-west line 110 miles apart. A forest fire is located at F, on a bearing 42° northeast of station A and 15° northeast of station B. How far, to the nearest mile, is the fire from station A?

	
72 
Solve for all values of q that satisfy the equation  
	
73 
The probability that a planted watermelon seed will sprout is 3/4. If Peyton plants seven seeds from a slice of watermelon, find, to the nearest ten thousandth, the probability that at least five will sprout. 
	
74 
Kathy and Tami are at point A on a circular track that has a radius of 150 feet, as shown in the accompanying diagram. They run counterclockwise along the track from A to S, a distance of 247 feet. Find, to the nearest degree, the measure of minor arc AS.

	
75 
                                                                           
Given: parallelogram ABCD, diagonal AC, and ABE

Prove: m∠1 > m∠2 
	
76 
The value of  is a real and irrational number when x is equal to

(1) 5 
(2) 0 
(3) -3
(4) 4	
77 
The expression i100 + i101 + i102 equals

(1) 1 
(2) -1 
(3) - i
(4) i	
78 
Which equation has roots whose sum is 3 and whose product is -4?

(1) x2 + 3x - 4 = 0 
(2) x2 - 3x - 4 = 0 
(3) x2+ 4x - 3 = 0
(4) x2- 4x + 3 = 0
	
79 
Factored, the expression 16x2 – 25y2 is equivalent to

(1) (4x – 5y)(4x + 5y) 
(2) (4x – 5y)(4x – 5y) 
(3) (8x – 5y)(8x + 5y)
(4) (8x – 5y)(8x – 5y) 	
80 
Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. 
Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. 
What is the cost of one slice of mushroom pizza?

(1) $1.50 
(2) $2.00 
(3) $3.00
(4) $3.50 	
81 
What is the product of -3x2y and (5xy2 + xy)?

(1) -15x3y3 - 3x3y2 
(2) -15x3y3 - 3x3y 
(3) -15x2y2 - 3x2y
(4) -15x3y3 + xy 	
82 
Which ordered pair is a solution to the system of equations y = x and y = x2 – 2?

(1) (-2,-2) 
(2) (-1,1) 
(3) (0,0)
(4) (2,2) 	
83 
Pam is playing with red and black marbles. The number of red marbles
she has is three more than twice the number of black marbles she has.
She has 42 marbles in all. How many red marbles does Pam have?

(1) 13 
(2) 15 
(3) 29
(4) 33 	
84 
What is half of 26?

(1) 13 
(2) 16 
(3) 23
(4) 25 	
85 
Which equation represents a line that is parallel to the line y = - 4x + 5?

86 
What is the product of expressed in simplest form?

87 
The center pole of a tent is 8 feet long, and a side of the tent is 12 feet
long as shown in the diagram below.

If a right angle is formed where the center pole meets the ground,
what is the measure of angle A to the nearest degree?
(1) 34 
(2) 42 
(3) 48
(4) 56	
88 
Which value of x makes the expression  undefined?
(1)  -4
(2)  -3
(3)   3
(4)   0	
89 
Consider the set of integers greater than -2 and less than 6. A subset
of this set is the positive factors of 5. What is the complement of this subset?

(1) {0, 2, 3, 4} 
(2) {-1, 0, 2, 3, 4} 
(3) {-2, -1, 0, 2, 3, 4, 6}
(4) {-2, -1, 0, 1, 2, 3, 4, 5, 6} 	
90 
What is the slope of the line that passes through the points (- 6,1) and (4,- 4)?

91 
Students in a ninth grade class measured their heights, h, in centimeters. 
The height of the shortest student was 155 cm, and the height of the tallest student
was 190 cm. Which inequality represents the range of heights?

	
92 
Mr. Turner bought x boxes of pencils. Each box holds 25 pencils. He
left 3 boxes of pencils at home and took the rest to school. Which
expression represents the total number of pencils he took to school?

(1) 22x 
(2) 25x - 3 
(3) 25 - 3x
(4) 25x - 75 	
93 
Which expression represents  in simplest form?
(1) 0 
(2) 2x 
(3) 4x
(4) 2x + 2 	
94 
Don placed a ladder against the side of his house as shown in the diagram below.

Which equation could be used to find the distance, x, from the foot of
the ladder to the base of the house?

	
95 
Which value of x is a solution of  ?
(1) - 2 
(2) - 3 
(3) - 10
(4) - 15 	
96 
Kathy plans to purchase a car that depreciates (loses value) at a rate
of 14% per year. The initial cost of the car is $21,000. Which equation
represents the value, v, of the car after 3 years?

(1) v = 21,000(0.14)3 
(2) v = 21,000(0.86)3 
(3) v = 21,000(1.14)3 
(4) v = 21,000(0.86)(3) 	
Answer all questions in this part. Each correct answer will receive 4 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc.  For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. 

97 
A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the
walkway is 15 feet more than the width.

Write an equation that could be used to determine the dimensions of the walkway. Solve this
equation to find the length and width, in feet, of the walkway.

	

98 
Sophie measured a piece of paper to be 21.7 cm by 28.5 cm. The piece of paper is actually
21.6 cm by 28.4 cm.

Determine the number of square centimeters in the area of the piece of paper using
Sophie's measurements.

Determine the number of square centimeters in the actual area of the piece of paper.

Determine the relative error in calculating the area. Express your answer as a decimal to
the nearest thousandth.

Sophie does not think there is a significant amount of error. Do you agree or disagree? Justify your answer.

	

99 
The prices of seven race cars sold last week are listed in the table below.

What is the mean value of these race cars, in dollars?

What is the median value of these race cars, in dollars?

State which of these measures of central tendency best represents the value of the
seven race cars. Justify your answer.

	

Answer all questions in this part. Each correct answer will receive 3 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. 

100 
Peter begins his kindergarten year able to spell 10 words. He is going to learn to spell 2 new words
every day.

Write an inequality that can be used to determine how many days, d, it takes Peter to be able to
spell at least 75 words.

Use this inequality to determine the minimum number of whole days it will take for him to be able
to spell at least 75 words.

	

101 
The Hudson Record Store is having a going-out-of-business sale. CDs normally sell for $18.00.
During the first week of the sale, all CDs will sell for $15.00.

Written as a fraction, what is the rate of discount?

What is this rate expressed as a percent? Round your answer to the nearest hundredth of a percent.

During the second week of the sale, the same CDs will be on sale for 25% off the original price.
What is the price of a CD during the second week of the sale?

	

102 
Graph the equation y = x2 - 2x - 3 on the accompanying set of axes.
Using the graph, determine the roots of the equation x2 - 2x - 3 = 0.

	

Answer all questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil. 

103 
Tom drove 290 miles from his college to home and used 23.2 gallons of gasoline. His sister, Ann,
drove 225 miles from her college to home and used 15 gallons of gasoline. Whose vehicle had
better gas mileage? Justify your answer. 

104 
A designer created the logo shown below. The logo consists of a square and four quarter-circles of equal size.

	

105 
Maureen tracks the range of outdoor temperatures over three days. She records the
following information.

Express the intersection of the three sets as an inequality in terms of temperature, t.

	
106 
Which value of p is the solution of 5p - 1 = 2p + 20?

107 
Mrs. Smith wrote "Eight less than three times a number is greater than
fifteen" on the board. If x represents the number, which inequality is
a correct translation of this statement?

108 
Which value of x is in the solution set of the inequality 
(1)  - 2
(2)    2
(3)    3
(4)  - 4	
109 
Factored completely, the expression 2x2 + 10x  -12 is equivalent to 

(1)  2(x - 6)(x + 1)
(2)  2(x + 6)(x - 1) 
(3)  2(x + 2)(x + 3)
(4)  2(x - 2)(x - 3)	
110 
If 3ax + b = c, then x equals
	
111 
The length of the hypotenuse of a right triangle is 34 inches and the
length of one of its legs is 16 inches. What is the length, in inches, of
the other leg of this right triangle?

(1) 16 
(2) 18 
(3) 25
(4) 30