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 (2^3)^2 = 4^p, then 3^p =
27
100
In how many different ways can five students be seated in three chairs?
60. 5x4x3=60
200
What is the circumference of a circle in which a 5 by 12 rectangle is inscribed?
13pi. The length of a diagonal of a 5 by 12 rectangle is 13 (pythagorean theorem). The diagonal of the rectangle is the diameter of the circle inscribed, and C = 2(pi)r.
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

If 5 and -3 are both zeros of the polynomial

function m(x), then a factor of m(x) is

x-5 or x+3

200
What is the area of the circle whose radius is the average of the radii of two circles with areas of 16pi and 100pi?
49pi.
300

If the width of a rectangle is 3/4th that of its length and its perimeter is the variable P. What is the length in terms of P? 

L = 2/7P

300

A initial amount of 3000$  doubles every 2 months. How much money would I have after 1 year? 

192,000

300

The distance·a spring stretches varies directly' with the force applied to the spring. If a force of 140 newtons stretches a spring 5 m, how.much will a force of 212 newtons stretch the same spring?

7.6 m

300

If I know that a factor of f(x) is (x-7) and that also f(3) = 0. What is f(x)? 

x^2-10x+21

300

Three fair coins are tossed at the same time. What is the difference between the probability that all three coins will come up heads and the probability that they  will come up tails?

0

400

If (3, -5) and ( k, - 1/5) are ordered pairs of

coordinates for the equation y = mx^2, what is the

positive value of k?

19. In the given triangle, 9-4

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

A survey of the town of Banner Hill found a mean

of 3.2 people per household and a mean of 2.8 cell

phones per household. If 80,000 people live in

Banner Hill, how many cell phones are in the town?

70,000

400

In the given system of linear equations,

1/3x- 1/6y = 3 and kx - 5y = 30, k is a constant. If the system has no solution, what is the value of k?

10

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

If the circumference of a circle is 12pi. An angle of 40 degrees creates an arc. What is the sector of that arc? 

4 pi

500

If 9^2x+1 = 3^-10


What is x^-3 equal to

-1/64

500

I walk at a pace of 30 feet every 10 seconds. 

How long in hours would it take me to walk 3 miles at this pace.

14 and 2/3 hours 

500
For how many integer values of b is b+3>0 and 1>2b-9?
Seven. b>-3, and b<5. Since b is an integer, b may be equal to any of the following: -2, -1, 0, 1, 2, 3, or 4.
500

x, y, 22, 39, 73... In this sequence, each term after the first term x is obtained by doubling the term that comes before it and then subtracting 5 to that number. What is the value of x+y?


22.75

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