  Science Mathematics Technology
Education For Building America's Future!

# June 17, 1997

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1) The sections of a spinner are shaded in blue and yellow. The probability that the spinner will land on a blue section is 4/9. What is the probability that the spinner will not land on a blue section?

2) The Earth is approximately 93,000,000 miles from the Sun. If this distance is expressed as 9.3 x 10n, what is the value of n?

3) Solve for x: 0.5x+3=4.5

4) If the score 18, 20, 25, 11, and x have a mean of 19, what is the value of x?

5)

 <--> <--> <--> In the accompanying diagram, BC, BAD, and CAE

intersect to form Triangle ABC. If the measure of angle ABC = 25 and the measure of angle C =90, find the measure of angle DAE. 6) Factor: y2 - 100 =

7)Two adjacent sides of a rhombus are represented by 5x +7 and 6x-1. Find the value of x.

8) If two angles are supplementary and one angle is twice as large as the other, find the number of degrees in the measure of the smaller angle.

9) Solve for x: x/7 - 5 = -4

10) If y varies directly as x and y = 24 when x = 4, find the value of y when x = 9

11) In the accompanying diagram of triangle ABC, line AC is extended to D, the measure of angle BCD = 140 and the measure of angle ABC = 85 Find the measure of angle BAC. 12) The sides of a triangle measure 9, 15, and 18. If the shortest side of similar triangle measures 6, find the length of the longest side of this triangle.

13) In the accompanying diagram, K is the image of A after a translation. Under the same translation, which point is the image of j? 14) Write in symbolic form, the inverse of ~e-->p

15) Point (k,-2) lies on the line whose equation is x -3y = 7. What is the value of k?

16)

In the accompanying diagram, transversal

 <--> <--> <--> GH intersects parallel lines AB and CD,

the measure of angle DGH = x and the measure of angle BHG = 2x-30 Find the value of x. 17) Solve for x in terms of a, b, and c:

ax -3b = c

18) Express 3x/4 - x/5 as a single fraction in simplest form.

19) If n + 8 represents an odd integer, the next larger odd integer is represented by

1. n + 10
2. n + 9
3. n + 7
4. n + 6

20) The product of (-3xy2)(5x2 y3) is

1. -8x3 y5
2. -15x3 y5
3. -15x2 y5
4. -15x3 y6

21)what is the value of x in the equation

4(2x = 1) = 27 + 3(2x - 5)

1. 21
2. 9
3. 7 1/2
4. 4

22) Which letter has point symmetry?

1. E
2. C
3. H
4. T

23)The Line whose equation is y = 4x + 2 has a y-intercept whose coordinates are

1. (0,0)
2. (0,2)
3. (4,0)
4. (0,4)

24) Which graph represents the inequality -1 < x < 4 ? 25) The expression

 12z4 + 20z3 - 4z2 -4z2

z does not equal 0, is equivalent to

1. -4z2
2. -3z2 - 5z
3. -3z2 - 5 +1
4. -3z2 - 5 - 1

26) Which equation represents the line parallel to the y-axis and 4 units to the left on the y-axis?

1. x = 4
2. x = -4
3. y = -4
4. y = 4

27)What is the greatest number of two-letter arrangements that can be formed from the letters G, R, A, D, and E if each letter is used only once in an arrangement?

1. 120
2. 60
3. 20
4. 5

28) If two angles of a triangle each measure 70 degrees, the triangle is described as

1. right
2. scalene
3. obtuse
4. isosceles

29) What is the value of the expression 2x2 - 5x + 6 when x = -2?

1. 32
2. -24
3. 24
4. 4

30) The value of (7 - 2)! is

1. 5
2. 120
3. 2520
4. 5038

31) 32) Which statement has the same truth value as ~m --> p?

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

33) Which ordered pair is the solution set for this system equation?

x + y =8

y = x - 3

1. (2.5, 5.5)
2. (4, 1)
3. (4, 4)
4. (5.5, 2.5)

34) What is the solution set of the equation x2 - 7x -18 = 0?

1. (9, -2)
2. (-9, 2)
3. (-6, 3)
4. (6, -3)

35) When a2 + a - 3 is subtracted from 3a2 - 5, the result is

1. 2a2 - a - 2
2. 2a2 - a + 2
3. -2a2 + a + 2
4. 4a2 + a - 8  