Examples of equations for high school - page 2 of 63
Number of problems found: 1250
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - A group
A group of young men decides to raise ksh 480,000 to start a business. Before the actual payment was made, four members pulled out, and each of the remaining had to pay an additional ksh 20,000. Determine the original number of members. - Peter 16
Peter travels to his uncle's home, 30 km away from his place. He cycles for 2/3 of the journey before the cycle develops a mechanical problem, and he has to push it for the rest of the journey. If he is cycling 10 km per hour faster than his walking speed
- Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - Complex equation
If c - d = 2 and c = 12 + 7 i, find d. Write the result in the form of a + bi. - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa
- The factory 3
The factory is 18 km away from the city. A cyclist leaves the factory for the city, and half an hour after him from the same place, a motorcyclist arrives 6 minutes before the cyclist in the city. Find the speed of each, knowing that the speed of the cycl - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - What is 25
What is the trunk of 8 and 10? - The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference. - Fraction or irrational
If you double 1/4 of a certain fraction and multiply it by that fraction, the answer is 1. What is the fraction?
- Multiple numerical bases
Find the value of x for which 312four+52x=96ten . Hint: four, x, and ten are the base of the given number. - A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Chelsea
Chelsea Donahue has a 20-year home mortgage of $74000 at 7.50% interest and will pay a $534 annual insurance premium. Her annual property tax will be $1534. Find her monthly PITI payment.
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