Equations practice problems - page 48 of 248
Number of problems found: 4950
- Michael 6
Michael was assigned math problems to complete for his weekly homework. So far, he has completed 28 problems, which is 2/7 of the total number of math problems he was assigned. How many total math problems was Michael assigned for homework? - Mark drove
Mark drove 3/4 of a 36 km trip before he stopped to get gas. How many kilometers had Mark driven? - Train station distance
The train traveled along the high-speed line at an average speed of 180 km/h. He left the starting station at 6:00 a.m. and arrived at the destination at 8:40 a.m. But halfway through the journey, he stopped at the station, where he stood for 10 minutes. - Sequence difference ratio
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - Number line
Find a number on the number line whose distance from the number 3 is four times smaller than from the number 15 (specify both solutions). - For what
For what value of x is -5x+8=-6 a true statement? Write your answer as a decimal. - Cake 9
1/3 of a cake costs 3$ and 50 cents. Then how much does the whole cake cost? - Aquarium fish distribution
Mike has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mike have in the smallest aquarium? - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Has infinity many solutions Solve the equation and determine the type of solution the equation has. Select all possible answers. 6y+9=3(2y+3)
- Two tariffs
You pay $20 and $0.05 per minute, and somebody else spends $15 and $0.25 per minute. How long would it take for both of you to spend the same amount? - Swimming pool 7
The perimeter of a rectangular swimming pool is 20 4/5 meters. Its length is thrice its width. What is the length of the pool? What is its width? - Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Solve 18 Solve simple equation: 3x = 5x + 6/2x + 3
- Club football tennis
The sports club has 302 members. Ten times more members play soccer than tennis. Just one of the sports (F and T) is played by 222 members. Eighty-two members do not play football. How many members of the club play football? How many members play tennis? - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - Potion volume preparation
Hermione Granger prepares an anti-boredom potion. She read in the recipe that the brew volume is two-ninths of liquid toad poison, six-fifteenths of mandrake nectar, and the rest is 34 milliliters of water. How many milliliters of Potion will Hermione mak - Bird parakeet canary
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - The sum 28
The sum of the age of a girl and her mother is 38. Next year the mother will be four times as old as her daughter. How old was the mother when her daughter was born? - Ava bought
Ava bought snacks for her team's practice. She bought a bag of oranges for $2.71 and a 4-pack of juice bottles. The total cost before tax was $6.75. Write and solve an equation that can be used to determine juice cost, how much each bottle of juice cost
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