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

A new game came out this week that Mr. Gomez started playing last night and caused him to sleep at 2 am. What is it?

Well Dweller

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, find Susans weight in terms of x

x-25

200
When the number of people who contribute equally to a gift decreases from four to three, each person must pay an additional $10. What is the cost of the gift?
$120.
200

They're making a new movie based on Mr. Gomez's favorite Christmas time movie. What is it?

Gremlims 3

300

The length of a rectangular garden is 5 more meters than the width. If the perimeter of the pavement around the garden is 34 meters, what is the area of the garden?

66 meters squared

300
A culture of 5000 bacteria triples every 15 minutes. What is the size of the bacteria population after 2 hours have elapsed?
32,805,000
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
Simplify (4a+a-3)(4b-2b-b)
5ab-3b
300

Mr. Gomez plays a lot of video games. In whole numbers, whats the most amount of hours he has spent on a video game?

200 hours

400
The width, w, of a rectangle is 10 meters less than its length. What is the length of the rectangle if its area is 75 square meters?

15

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
Jars A, B, and C each contain 8 marbles. What is the minimum number of marbles that must be transferred among the jars so that the ratio of the number of marbles in jar A to the number in jar B to the number in jar C is 1:2:3?
4. Since jars A, B, and C each contain 8 marbles, there are 24 marbles in the three jars. Let x, 2x, and 3x represent the new numbers of marbles in jars A, B, and C, respectively. Hence, x + 2x + 3x = 24 or 6x = 24, so x=4.
400
If the solution to the system is (x,y), what is the product of x and y?


x-4y=35

2x-5y=70

0

400

Find Kuromi

in the projector

500

An object moves 40 meters horizontally and 20 meters vertically. What is the straight-line distance it travels from its initial position?

50 meters

500

A painter's canvas is in a shape of a rectangle, with length (5x-2) inches and width (x-2) inches. Write an expression that represents the area, in square inches, of the canvas.

5x^2  -- 12x + 4

500
Fruit for a dessert costs $1.20 a pound. If 5 pounds of fruit are needed to make a dessert that serves 18 people, what is the cost of the fruit needed to make enough of the same dessert to serve 24 people?
$8.00. If 5 pounds of fruit serve 18 people, then 5/18 pound serves one person, so 24 x 5/18 = 20/3 pounds. Since the fruit costs $1.20 a pound, the cost of the fruit needed to serve 24 people is 20/3 x $1.20 = $8.00.
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

What is the range of the student heights in your group? (in meters or inches)

Answers may vary

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