Systems of Linear Equations Word Problems - Practice
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- As with most word problems, the most effective approach to take is translation. The goal is to take written information and translate into a new language: math equations. Let's …
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Sarah Walker, Jonathan Heller, Caroline K, Anusha Rahman
- (Videos) Set up Word Problems Using a System by mathman1024 This video by mathman1024 works through word problems with systems of equations. Summary\large{\text{Summary}}Summary…
By Alex Federspiel, Sarah Walker, Amy Feraco, Jonathan Heller, Anusha Rahman
- Systems of Linear Equations: Word Problems Sometimes, it is helpful to translate a word problem into a system of linear equations and solve the system. After translating words t…
By Caroline K
Problems 22
- What is the ratio of the number of bicycles to the number of tricycles in the garage?
- Cassidy has 161616 pets which consist of cats and dogs. Each dog weighs on average 606060 lbs and eats one small bag of dog food, which costs \2.25 a bag. Each cat weighs on ave…
- Zack is shooting a short film and needs a lot extras for a scene. The scene takes place inside a building that has a maximum occupancy of 400400400. For every crew member there …
- A school club has 808080 members. There are 999 times as many boys in the club than there are girls. How many girls are in the club?
- A 645645645 mile, 666 hour plane trip was flown at two speeds. For the first part, the average speed was 959595 mph. Then the tailwind picked up and the second part was made in …
- Anna and Cooper each leave the same house at 2:382{:}382:38 p.m. on a Saturday in the middle of July. The average speed of Anna's car is 323232 mph slower than twice the speed o…
- Margaret buys 333 loaves of bread and 222 avocados. Alicia buys 101010 loaves of bread and 111 avocado. Alicia paid 333 times as much as Margaret did. A loaf of bread is how man…
- A bunch of bicycles and tricycles move past you, and you count the number of wheels that go by. Eventually, you count 101010 vehicles with a total of 232323 wheels. How many of …
- Suppose that a quadratic function f(x)=x2+bx+cf(x) = x^2 + bx + cf(x)=x2+bx+c passes through the points (1,2)(1,2)(1,2) and (3,2)(3,2)(3,2). What is the value of ccc?
- Nate has a busy day ahead of him. He has marine training, video games with friends, work, and sleep (not necessarily in that order). He also needs to sleep twice as much as the …
- Cooper is finally writing a novel. The number of chapters, the number of sub-chapters, and the number of pages sum to be 840840840. He also knows that there are 444 times as man…
- A motorboat travels 486486486 km in 999 hours going upstream and 470470470 km in 555 hours going downstream. What is the speed of the boat in still water, and what is the speed …
- Mary and David are 833833833 miles apart and are heading toward each other to meet for dinner. Mary is traveling at 545454 mph and David is traveling at 656565 mph. How long wil…
- A plane flew a total of 3,5203,5203,520 miles at the average rate of speed of 320320320 mph. How long did it take the plane to cover this distance?
- Suki is going to play field hockey. She can either bring a stick and 111 ball, or no stick and 333 balls. Assume that on her team of 555, every player can bring one of the same …
- After successfully figuring out how to clone dinosaurs, you and your colleagues decide to build a theme park in order to show them off to the public (sounds like a perfectly saf…
- How many pizzas should be ordered?
- After a regrettable bachelor party, a man wakes up in the desert with 454545 watermelons. He needs to get them across to an oasis 151515 miles away. He can only carry 151515 wat…
- Alvin had three history tests during his first semester of his junior year of high school. The average of the first two exam scores was an 86;86;86; the average of the last two …
- Cassandra had two exams in her math class, with an average score of 858585, and the difference in the scores of the two exams being 202020. What was the larger of the two exam s…
- A triangle has three sides of lengths A,B,A, B,A,B, and CCC. The sum of the lengths of the two shortest sides is 161616, and the triangle's semiperimeter is 141414. What is the …
- If two triangles have all congruent angles and the triangles have the same perimeter, must they be congruent?