PROBLEM SOLVING
FRACTIONS
SUBTRACTION
MULTIPLICATION
MISCELLANEOUS
100
What is the perimeter of a square that has an area of 25?
20
100
3 1/2-3 1/2 =
What is zero?
100
If the area of a rectangle is 1,250 square feet, and the length equals 50 feet,
25 feet; what is the width of the rectangle
100
If x-4 = 6, then
What is x=10
100
How many 6 inch lengths of board can be cut from a 12 foot 2X4?
What is 24 lengths of 2X4?
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
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
Helen does not want to spend any more than 30% of her income on rent. Her income is $2,300 a month. What is the highest monthly rent Helen should pay?
What is $690.00?
300
The height h of a right triangle is 8 inches. The base b of the triangle is 14 inches. What is the area of the right triangle?
What is 56 sq. inches. AREA
300
Simplify (4a+a-3)(4b-2b-b)
5ab-3b
300
Joe leaves his house and averages a speed of 55 mph for one hour on the freeway (obviously he does not live in L.A.) for 2 hours.
Use d = st What is 110 miles.
400
If the integer lengths of the three sides of a triangle are 4, x, and 9, what is the least possible perimeter of the triangle?
19. In the given triangle, 9-4
400
For the system of three equations: x-z=7, x+y=3, z-y=6, what is x?
8
400
Riley bought 42 ounces of cereal for $12.60. Hoow much did he pay per ounce?
What is $.30 per ounce?
500
What is the number of sides of a polygon in which the sum of the degree measures of the interior angles is 4 times the sum of the degree measures of the exterior angles?
10. Sum of the degree measures of exterior angles is 360. S = (n-2)180 = 4 x 360, where n=number of sides. Solving for (n-2) = 8 or n=10.
500
Working alone, Bill takes three times the amount of time to paint a fence that Mike takes. If Bill and Mike work together, they can paint the fence in 2 hours. If Mike works at the same rate as when he worked with Bill, how long would it take Mike working alone to paint the same fence?
2 hours and 40 minutes. If x represents the number of hours it takes Mike working alone to paint the fence, then 3x is the number of hours it takes Bill working alone to paint the fence. So 2(1/x) + 2(1/3x) = 1 gives x=8/3 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
If 2x + 5 = 15, then x = ?
What is 5?
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