Quadratic equation + algebra - practice problems - page 2 of 13
Number of problems found: 259
- Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution. - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.
- A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt - The product 9
The product of the third and second terms of the arithmetic progression is 3000. If the common difference is 10, find the first term. - Solve 12
Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - Intersection of Q2 with line
The equation of a curve C is y=2x² - 8x +9, and the equation of a line L is x + y=3. (1) Find the x-coordinates of the points of intersection of L and C. (ii) show that one of these points is also the - A speedboat
A speedboat goes 900 km against a current of 25 km/hr. Its trip took 10 minutes longer than it would have taken to travel with the current. What is the speedboat's speed in still water?
- A boy 2
A boy dropped a coin from the top of the dry well and heard a sound 6 seconds later. Considering this as a free-fall object, how deep is the well? The speed of sound in air is approximately 343 m/s. - Unknown 72884
The square root of an unknown number equals the square of 2. What is the unknown number? - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - Combinations 70714
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have? - Consecutive 69904
The three numbers that make three consecutive members of an arithmetic sequence have a sum of 60 and a product of 7500. Find these numbers.
- Vertically 65984
We threw the stone vertically upwards at a speed of v = 15m. s-1. How long will it be at a) 10 m, b) 12 m? - Substituted 65024
Which number should be substituted for the variable and in the equation: 4x² (7-x) = a-3- (x-2), so that the root of the equation is the number 5? - Construction 64524
The bricklayer and the apprentice will build the wall in 6 hours. If the bricklayer worked alone, the wall construction would take him 5 hours shorter than the apprentice. How long before the wall would the bricklayer build himself? - Intended 63664
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last? - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers.
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