  Science Mathematics Technology
Education For Building America's Future!

# August 16, 1995

This exam measures your knowledge of Mathematics Course 1. Only part one of the exam is presented here. When you are finished filling out the test press the "Submit" button and you will be able to see how you did.

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1) If x = 4 and y = 1, find the value of 3x2y

2) solve for c: 0.7c -4 =3.7

3) In the accompanying diagram <--> <--> <--> MN intersects parallel lines AB and CD at E and F, respectively.

If the m of angle AEF is 80, find the number of degrees in angle EFD.

4) Let p represent, " the number is an odd number," and let q represent,
" The number is divisible by 2."

Write in symbolic form

"if a number is not divisible by 2, then it is an odd number."

5) Find the sum:

(9m - 5n + 2) + (-4m - n - 1) +(-5m + 6n - 1)

6) Two rectangles are similar. The first rectangle has a length of 6 and a width of 2, the second rectangle has a length of 12. Find the area of the second rectangle.

7)Find the quotient:

 15x2 - 12 x 9 3

8) If the probability that it will rain is 0.8, what is the probability that it will not rain?

9) Three numbers are represented by 2x,3x, and 4x. If the mean of these three numbers is 15, what is the value of x?

10) Solve for x in terms of p and q:

3x + p =q

11) Solve for x:

3/5 x - 4 =8

12) Brenda bowled 5 games. Her scores were 135, 150, 130, 180, and 130. What was the mode of her scores?

13) If y varies directly as x, and y = 16 when x = 3, find the value of y when x = 9.

14) The ratio of two numbers is 8:5 and their sum is 52. Find the smaller number.

15) Write, in symbolic form, the inverse of m-->~r

16) Solve the following system of equations for x:

 6x +y = 18 2x - y = 2

17) In the accompanying diagram

 <--> --> --> ABC is a straight line BD _|_ BE

and the m of angle CBE = 50. Find the m of angle ABD

18) In the accompanying diagram, line CD is a bisector of angle ACB, the m of angle A = 58, and the m of angle B = 72. Find the m of angle ACD.

Directions (19-35): For each question chosen, enter in the spaces provided the numeral preceding the word or expression that best completes the statement or answers the question.

19) The footlights of a stage have 12 red bulbs , 8 blue bulbs, and 10 yellow bulbs. If the bulbs are expected to last the same amount of time, what is the probability that a yellow bulb will burn out first?

1.  1

2.  _1_ 30

3.  10 30

4.  20 30

20) Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph? 1. (2, 5)
2. (2, -2)
3. (4, 3)
4. (-4, 3)

21) If -24a8b3 is divided by 6a4b, the quotient is

1. -4a2b2
2. -4a2b3
3. -4a4b
4. -4a4b2

22) The diameter of a red blood cell is approximately 0.00074 centimeter. Expressed in scientific notation, this number is

1. 7.4 x 10-4 cm
2. 7.4 x 104 cm
3. 74 x 10-3 cm
4. 74 x 103 cm

23)Which graph represents a line that has a negative slope? 24) Two complementary angles are in the ratio 8:1. The number of degrees in the larger angles is

1. 10
2. 20
3. 80
4. 160

25) The sum of √12 and 5 √3 is

1. 7 √3
2. 10 √3
3. 6 √15
4. 15 √3

Please note that √ represents the square root symbol

26)

 __6__ The expression 3x - 9 is undefined when x is equal to
1. 0
2. -3
3. 3
4. 9

27) If 5 is added to both the length and the width of a rectangle, then the perimeter is increased by

1. 5
2. 10
3. 20
4. 25

28) The expression 3x2 - 7x + 2 is equivalent to

1. (3x+2)(x+1)
2. (3x+1)(x+2)
3. (3x-2)(x-1)
4. (3x-1)(x-2)

29) The least common denominator for the fractions

 13_ 7_ 12x and 9x is
1. 3x
2. 36x
3. 108x
4. 108x2

30) If p represents "x is an even number" and q represents "x is a multiple of 5," which statement is true when x = 15?

1. p v q
2. p ^ q
3. ~p --> q
4. p <--> q

31) Which figure always has exactly on line of symmetry?

1. isosceles right triangle
2. rectangle
3. trapezoid
4. circle

32) The area of a circle is 36 π

1. m --> ~p
2. p --> ~m
3. ~p --> -m
4. ~p --> m

33) In the accompanying diagram, triangle A'B'C' is the image of triangle ABC. Which type of transformation is represented by triangle A'B'C'? 1. rotation
2. translation
3. reflection
4. dilation

34) What is the solution set of the equation 2x2 + x -3 = 0 ? 35) If the ratio of the two sides of two cubes is 3:4, what is the ratio of the volumes of the two cubes?

1. 3:4
2. 9:12
3. 9:16
4. 27:64  