System of equations - high school - practice problems - page 2 of 44
Number of problems found: 876
- The sum 20
The sum of the first six terms of an arithmetic progression is 552, and the sum of the first two terms of the same is 200. Determine the sum of the first 15 terms. - The sum 15
The sum of the real numbers x and y is 24. Their difference is 12. What is the value of xy? - One leg
One leg of a right triangle is 1 foot longer than the other leg. The hypotenuse is 5 feet. Find the lengths of the three sides of the triangle. - Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0 - Quadratic function
Write the equation of the quadratic function, which includes points A (-1, 10), B (2, 19), C (1,4) - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - System: 14033
Solve the system: 15x + 30y = -20 0.3x-0.2y = 0.4 - Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - Martin 6
Martin, Kelvin, and Ahmad have 120 candies. Ahmad has six more candies than Martin. Kelvin has thrice the total amount of candies than Martin and Ahmad have. How many candies does Martin have? - Vector v4
Find the vector v4 perpendicular to the vectors v1 = (1, 1, 1, -1), v2 = (1, 1, -1, 1) and v3 = (0, 0, 1, 1) - Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Children
The group has 42 children. There are four more boys than girls. How many boys and girls are in the group? - Elimination method
Solve the system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - Garden
The garden has a rectangular shape, a circumference of 130 m, and an area of 800.25 m². Calculate the dimensions of the garden. - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - Arithmetic 44181
Determine the arithmetic sequence. a3 + a4 = 10 a2 + a5 = 11 - Arithmetic 6963
The arithmetic mean of two numbers is 142. One of the numbers is 16, greater than the second. Find out both numbers. The arithmetic mean is a + b / 2 - Zdeněk 4090
Petr scored 18 points, Jirka half, Roman scored 3 points less than Petr, and Zdenek one point less than Jirka. Find out how many points Zdenek got. - Suppose 10
Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B.
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