Radical Equation Word Problems - Examples & Practice
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- (Video) Problem Solving with Radical Expressions by Deanna Green This video by Deanna Green works through word problems with radicals. Summary\large{\text{Summary}}Summary These…
By Alex Federspiel, Ruiran Xun, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
- The key to solving any word problem (whether it contains a radical or not) is to translate the problem from words into math. That's the biggest step in word problems. Once you'v…
By Hannah Bonville, Ruiran Xun, Jonathan Heller, Caroline K, Anusha Rahman
- Example walk through: word problem involving radicals The key to word problems is in the translation. Let's walk through the problem below and solve it. Lori recently purchased …
By Christine, Ruiran Xun, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
Problems 20
- In a tropical storm, the wind velocity vvv, in meters per second, can be described by the equation v=6.31000−xv=6.3\sqrt{1000-x}v=6.31000−x where xxx is the air pressure in mil…
- Astronaut Kevin discovered the planet Beyoncionia. He found out that the formula T=2πL28T=2\pi\sqrt{\frac{L}{28}}T=2π28L represents the swing of a pendulum on the planet. TTT …
- A tsunami, created by Hurricane Evan, is traveling at a speed given by the equation s=365ds=365\sqrt{d}s=365d where sss is the speed in kilometers per hour and ddd is the avera…
- The equation for the escape velocity from a planet or star is given by Vesc=2GMR.V_{\text{esc}}=\sqrt{\frac{2GM}{R}}.Vesc=R2GM. Solve the equation for RRR.
- Cooper discovered an island and named it Cooperloop. Over the years many people lived on Cooperloop. Cooper discovered that the population growth was given by the equation P=91.…
- Solve for LLL. T=2πLgT=2\pi\sqrt{\frac{L}{g}}T=2πgL
- Sometimes before giving a patient medicine a doctor calculates their Body Surface Area (or BSA). You can calculate this with the equation BSA=wh3600BSA=\sqrt{\frac{wh}{3600}}BSA…
- Electrical engineers use the equation V=PRV=\sqrt{PR}V=PR to calculate voltage, where PPP is the power measured in watts and RRR is the resistance measured in ohms. Solve for RRR.
- What's the optimal quantity to produce if the annual demand is 150000150000150000 parts, the cost to setup the equipment is 5\55, and the cost to hold onto the product is 4\44? …
- The height of a ball thrown in the air is given by the equation h=−18t2+324h=-18t^2+324h=−18t2+324, where hhh is in feet, and ttt is in seconds. How long will it take the ball t…
- You know that c=a2+b2c=\sqrt{a^2+b^2}c=a2+b2. You also know that b=d+fb=\sqrt{d+f}b=d+f. Solve for aaa.
- The average number of burritos Hannah has eaten since 2010 can be modeled by the formula b=100t−300b = \sqrt{100t - 300}b=100t−300 where bbb is the number of burritos and ttt i…
- Meredith's happiness is directly proportional to the number of hours she plays soccer. Let's say this relationship can be modeled with the following equation, where hhh is happi…
- Michael wants to buy lots of golden retrievers for pets. The number of retrievers Michael can afford can be modeled by g=100m−100g = \sqrt{100m - 100}g=100m−100 where ggg is th…
- If Angela wants to make 303030 pounds of spaghetti and meatballs, and the number of pounds she can make is equal to 153x15\sqrt{3x}153x where xxx is the number of meatballs she…
- The grade Madeline receives on her Algebra exam is modeled by the following equation: g=90+p−4g = 90 + \sqrt{p - 4}g=90+p−4 where ggg is the grade and ppp is the number of prob…
- When Anant goes out to eat, the number of plates he needs to hold all of his food is related to how hungry he is by the following equation: p=134h+1p = \frac{1}{3}\sqrt{4h + 1}p…
- What is the probability that Jason wins the lottery after buying 404040 lottery tickets, if the probability of anyone winning the lottery is modeled by P=1100110000tP = \frac{1}…
- When Zach plays basketball, the number of points he scores is related to the number of vegetables he ate the day before his game by this equation: p=15+3vp = 15 + \sqrt{3v}p=15+…
- How many pizzas should be ordered?