# Algebra - math word problems

1. A rectangular patio A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.
2. The crime The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.
3. Sides of triangle Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure one of the same sides?
4. Find the sum Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
5. Triangle 42 Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is measure of triangle BCA=?
6. Equation 20 In given equation: 8/9-4/5=2/9+x, find x
7. MG=7x-15, MG=7x-15, FG=33, x=? Point M is the midpoint of FG. Find unknown x.
8. Completing square Solve the quadratic equation: m2=4m+20 using completing the square method
9. Find the 7 Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6
10. Two numbers 7 The sum of two consecutive even numbers is 30. Find the numbers.
11. Evening shift While working the evening shift, Officer K took 8 hours to complete a task at his work station and Officer M took 10 hours to complete the same task at his work station. How many hours would it take Officer K and Officer M to complete the same task working
12. Simple equation 6 Solve equation with one variable: X/2+X/3+X/4=X+4
13. Toys 3 Tiffany's toyshop received a shipment of 360 toys. The first day 12 were sold the second day 19 were sold and on the third day, 26 was sold. How many days will the toyshop run out of toys?
14. Eq with reciprocal Solve given equation with reciprocal member: a-6/a+10=4/8
15. Substitution method Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
16. Expression If A=2 B=3 evaluate expression A(B+A) and multiply it by A
17. Which Which decimals when subtracted equal 3.89: a - b = 3.89
18. The size The size of a Trapezium are 3/4×cm, ×cm 2(×+1)cm and 3(×+2)cm long respectively if it's perimeter is 60cm, calculate the length of each side.
19. A report Maricris can type a committee report in 5 hours. Jane helped Maricris and together they finished the report in 3 hours. How long would it take Jane to complete the report she had worked alone?
20. Lateral surface area The ratio of the area of the base of the rotary cone to its lateral surface area is 3: 5. Calculate the surface and volume of the cone, if its height v = 4 cm.

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