Equations practice problems - page 57 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: 4218
- A cheetah
A cheetah was separated from his brothers on a hunting mission. The brothers were at the watering hole 120 km away. The lost cheetah knew that he had to make it back before sundown, which was 1.5 hours away. His brothers had planned to leave the wateri - Three days way
The tourist walked a quarter of the way on the first day, a third of the rest on the second day, and 20 km on the last day. How many km did he cover in three days? - Translate
Translate the following mathematical statement into an algebraic expression or equation. 1. Nine less than the quotient of a number and 3 2. The ratio of 3 and the sum of 4 and an unknown number 3. Eighty is the product of 4 and g 4. The sum of x and 18 i - Attended 47663
Three times more boys than girls attended the student meeting. When 8 boys and 8 girls left early, five times more boys than girls stayed at the meeting. How many boys and how many girls were at the game?
- Shooting 47653
Members of the shooting circle hit the target 57 times during the shooting, which was 38% of the total number of shots. How many times did they fire in total? - Rectangle's 47643
The rectangle has an area of 147 cm². One of its sides is three times longer than the other side. We increase the shorter side of the rectangle by 8 cm. By how many cm² will the new rectangle's area be larger than the original rectangle? - Mathematics 47563
The average of 19 students from the mathematics paper was 2.63 (rounded to two decimal places). Jana wrote the paper later because she was sick. After taking Janča's grade into account, the average changed to 2.60. What grade did Jana get? - Remaining 47271
Forty percent of all library readers have already paid the annual reader fee, so the remaining 264 have to pay the fee. How many readers does the library have? - 25 pupils
Twenty-five pupils attend the school dance group, which is 5 percent of all pupils. The judo class is attended by 20 pupils, a quarter of whom also go to a dance group. How many schoolchildren do not go to a dance or judo group?
- Confectionery 47211
They want to buy a mixture of candies for the confectionery, which consists of fruit candies at CZK 170/kg and chocolate candies at CZK 240/kg. The mixture should be 20 kg for 212 CZK/kg. How many fruit candies and how many chocolate candies must he buy? - Received 47171
Four boys shared 100 marbles. The second received 20% more than the first, the third received 20 more bullets than the first, and the fourth received 0.8 times more bullets than the first. How many marbles did each boy get? - 540 pupils
Five hundred forty pupils enrolled in the school group, which is a fifth more than the group's capacity. How many pupils is the capacity of the group? - Discounted 47051
The ticket to the theater was discounted by 10%, and after the discount cost 306 CZK. What was the original price? - Consecutive 47033
The sum of three consecutive odd numbers is 183. What is the largest of them?
- Two geometric progressions
Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Meeting 46963
A single person would paint a fence in 6 hours with a roller. How long would it take him to paint the wall with a brush if you know that two people, one with a meeting and the other with a roller, were done in 5 hours? - Wreckage 46913
It takes Maťko 12 hours to clear the wreckage, and his friend Kubko only 8 hours. Kubko started cleaning the quarry only after Maťko had already been working on the quarry for two hours. When did Maťko and Kubek finish cleaning the quarry when Maťko start - Animal heads and feet
When hunting hares and pheasants, hunters calculated that the animals caught had 36 heads and 100 feet. How many hares and how many pheasants do they catch? - MATHEMATICS: 46893
Solving the problem, substituting letters with numbers in the word MATHEMATICS: MAT + EMA = TIK
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