GEOMETRY
ALGEBRA II
WORD PROBLEMS
ARITHMETIC & ALGEBRA I
MISCELLANEOUS
100
What is the perimeter of a square that has an area of 25?
20
100
If x^-2 = 64, what is the value of x^(1/3) + x^0?
3/2
100
If 1/3 of a number is 4 less than 1/2 of the number, the number is
24. Let x represent the unknown number. Since 1/3 of x is 4 less than 1/2 of x, x/3 = x/2 - 4. So, 2x = 3x - 24, giving x = 24.
100
If P*11/14 = 11/14*8/9, then P =
8/9
100
In how many different ways can five students be seated in three chairs?
60. 5x4x3=60
200
What is the perimeter of the accompanying figure if B and C are right angles?
18
200
Let the function f be defined by f(x) = 3x-1 and let the function g be defined by g(x) = x^2. If m is a positive number such that f(7) = g(m) + g(2), what is the value of m?
4
200
Susan weighs p pounds. If Susan gains 17 pounds, she will weigh as much as Carol, who weighs 8 pounds less than Judy. If Judy weighs x pounds, then Susan's weight, p, in terms of x is
x-25
200
66^2+2(34)(66)+34^2=
10,000
200
If (2+x)/(5+x) = 2/5 + 2/5, what is the value of x?
10
300
In this diagram, \Delta XYZ has been inscribed in a circle. If the circule encloses an area of 64, and the area of \Delta XYZ is 15, then what is the area of the shaded region?
49
300
If 4x+5y=10 and x+3y = 8, then (5x+8y)/3 =
6
300
The regular price of software at a computer superstore is 12% off the retail price. During an annual sale, the same software is 25% off the regular price. If the retail price is p, what is the sale price in terms of p?
0.66p. Since the regular price of software is 12% off the retail price p, the regular price of the software can be expressed as 0.88p. So the sale price is 0.75 x 0.88p = 0.66p.
300
200 is what percent of 20?
1,000
300
Three fair coins are tossed at the same time. What is the probability that all three coins will come up heads OR all will come up tails?
1/4. 1/8 (all heads) + 1/8 (all tails) = 1/4.
400
In the accompanying figure, side BC of triangle ABC is extended to D. What is the value of A?
20
400
What is the equation of the graph obtained by shifting the graph of y=x^2 horizontally to the left 4 units and vertically down 3 units?
y = (x+4)^2 - 3
400
Sarah is twice as old as John. Six years ago, Sarah was 4 times as old as John was then. How old is John now?
9
400
The sum of the cubes of any two consecutive positive integers is always
an odd integer
400
Five students, all of different heights, are randomly arranged in a line. What is the probability that the tallest student will be first in line and the shortest student will be last in line?
1/20. 1x3x2x1x1=6, 6 ways in which students can be arranged under given conditions. Under no conditions, the ways are 5x4x3x2x1=120. 6/120=1/20.
500
In this figure, two points B and C, are placed to the right of point A such that 4AB = 3AC. The value of BC/AB =?
equals 1/3
500
If 0
I,II,III
500
The average height of three students is 68 inches. If two of the students have heights of 70 inches and 72 inches respectively, then what is the height (in inches) of the third student?
62
500
If p is a positive integer, which could be an odd integer?
7p-3
500
If the perimeter of rectangle ABCD is equal to p, and x = 2/3y, what is the value of y in terms of p?
3p/10
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