System of equations - high school - practice problems - page 3 of 44
Number of problems found: 876
- Giraffe 2
The lifespan of a guinea pig is six years less than that of a giraffe. The lifespan of a tiger is four times that of a guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity of the giraffe. - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6. - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI - Rectangle Anton
The difference between the length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle. - 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. - Backyard 13871
Dogs and geese ran around the backyard. Together they had 12 heads and 30 legs. How many geese ran around the backyard, and how many dogs? - Rabbits 7948
Hens and rabbits, 22 heads and 62 feet, run around the garden. How many? - Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504. - Calculate 3339
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence). - Numbers 3323
The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers? - Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution. - Non linear eqs
Solve the system of non-linear equations: 3x²-3x-y=-2 -6x²-x-y=-7 - Ball game
Richard, Denis, and Denise together scored 932 goals. Denis scored four goals over Denise, but Denis scored 24 goals less than Richard. Determine the number of goals for each player. - One-quarter 13953
Calculate the magnitude of the interior angles of the triangle ABC if alpha = two-fifths beta and alpha = one-quarter gamma. - Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80. - Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6 - 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. - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - The sum 24
The sum of the three numbers is 80. The first number is 8 less than the third. The second number is 2 times the third. What are the numbers?
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