Equation + system of equations - practice problems - page 2 of 63
Number of problems found: 1259
- Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1) - Linear function
What is the equation of linear function passing through points: a) A (0,3), B (3,0) b) A (-2,-6), B (3,4) - Benches
The park has 64 benches. Occupied is 18 more than empty. How many benches are occupied and empty? - Football match 4
A football match with Italy lost three goals for the Germans. Fell five goals in the match. Determine the number of goals of Italy and Germany. - Difference 4319
I think two numbers. Their sum is 36, and their difference is 14. What are the numbers? - Difference 3113
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers. - Cats and birds
There are 15 cats and birds in the park. There are 42 legs altogether. How many cats are there? - 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. - 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. - Heads and legs
There are 108 legs and 33 heads in the yard. How many chickens? How many rabbits are there? - The larger
The larger two numbers are nine, more than four times the smaller number. The sum of the two numbers is fifty-nine. Find the two numbers. - Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard? - Blackberries
Daniel, Jolana, and Stano collected 34 blackberries together. Daniel collected eight blackberries more than Jolana, and Jolana 4 more than Stano. Determine the number of blackberries each collected. - 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] - Consecutive 18083
The sum of five consecutive even numbers is 40. Find these numbers. - Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - Intersection 4925
Determine the intersection of functions. a) y = 2x + 3, y = -x + 4 b) y = 3x + 7, y = -2x-3 - Positive 70974
The sum of two positive numbers is 2.5. A smaller number is four times smaller than a larger number. What is the value of a smaller number?
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