Equations practice problems - page 18 of 211
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4210
- Determine 82034
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; c = 3 - Multiplying 82021
If I add 5 to this number, I get the same result as multiplying it by 5. What is that number? - Nationalities 81998
In the popular Italian resort of Caorle, there are only 4 nationalities. The resort has 3/20 Germans, 2/5 Czechs, 1/4 Austrians, and 500 Brits. How many tourists are there in total at the resort? - Written 81992
8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000? - Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours? - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - Competition 81952
All three team members took turns fulfilling the competition task without delay. The first member used up 30% of the total competition time. The second needed 10 minutes more than the first, and only 10 minutes remained for the third. What % of the total - Increased 81943
The mobile was increased by a quarter of the original price and then again by a quarter of the new price. How much did the mobile cost if its final price was 125 euros? - Received 81933
The reward of CZK 4,220 was divided among 3 workers in such a way that the second received CZK 400 more than the first, and the third received 30% more than the second. How much did each get? - Equation 81932
Write the general equation of a circle with point S(2;5) and point B(5;6) lying on this circle. - Important 81924
Karel went for a walk at a speed of 5 km/h. After 3 hours, Ondra rode to him with an important message. He was moving at a speed of 20 km/h. How many minutes did Ondra catch up with Karel? - Unknown 81923
I divide the unknown number by 2 and then add 4 to the result, which gives me 22. What is the unknown number? - Foresters 81919
Foresters planted 2,440 saplings in three days. On the second day, they planted 20% more saplings than on the first day, and on the third day, 15% less than on the first day. How many saplings did the foresters plant each day? - Lilies 81910
There are twice as many pink water lilies in the pond as yellow water lilies, but twice as few as white water lilies. Which water lilies are the most and which are the fewest? How many times more white water lilies are there than yellow water lilies? How - Christmas 81908
Margaret bought Christmas presents with a quarter of her savings. How much did she save if the gifts cost CZK 160? Express the rest of the savings as a fraction. - Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - Martin 81857
Martin will be twice as old in 10 years as he was four years ago. How old is she now? - Difference 81849
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.
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