# Algebra - math word problems

1. Employees The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% of all men and 22.5% of all women. 20% of employees were rewarded with premiums. How many men and how many women are employed in the company?
2. Multiples What is the sum of the multiples of number 7 that are greater than 30 but less than 56?
3. Legs Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
4. In a 2 In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
5. Ratio of volumes If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
6. Three tributaries It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fil
7. Diofant equation 250x + 120y = 5640
8. A triangle A triangle has an angle that is 63.1 other 2 are in ratio of 2:5 What are the measurements of the two angles?
9. Brother and sister When I was 8, my sister was 4, now I am 18, how old is my sister?
10. Calculate 3 Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
11. Domains of functions F(x)=x2-7x and g(x)=5-x2 Domain of (fg)(x) is. .. . . Domain of (f/g)(x). ..
12. A rectangle A rectangle has an area of 36 cm2. What could the length and width of rectangle be?
13. Two unknown numbers One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
14. Midpoint 4 If the midpoint of a segment is (6,3) and the other end point is (8,-4) what are thw coordinate of the other end?
15. Find x Solve: if 2(x-1)=14, then x= (solve an equation with one unknown)
16. Linear system Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
17. Calculate 2 Calculate the largest angle of the triangle whose side are 5.2cm, 3.6cm, and 2.1cm
18. Find the 2 Find the term independent of x in the expansion of (4x3+1/2x)8
19. Expression with powers If x-1/x=5, find the value of x4+1/x4
20. Profit growth The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?

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