Writing Literal Equations - Examples & Practice
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- Writing literal equations using variables is a lot like translating word problems into mathematical expressions. The general approach is to take the information given to you in …
By Hannah Bonville, Zora Gilbert, Joshua Siktar, Jonathan Heller, Alex Federspiel, Anusha Rahman, Caroline K
- Example: Word Problem Liz is a Writing major in college and she always have a bunch of papers to write. Like the rest of us, Liz procrastinates from time to time and leaves her …
By Christine, Alex Federspiel, Joshua Siktar, Jonathan Heller, Anusha Rahman
- (Video) Solving Literal Equations Made Easy by Brian McLogan This video by Brian McLogan works through the steps of solving a literal equation. Summary\large{\text{Summary}}Summ…
By Joshua Siktar, Jonathan Heller, Alex Federspiel, Anusha Rahman
- We're going to talk about what literal equations are and how to represent them using variables (which are usually letters, of course). To do so, we're going to use a type of bra…
By Joshua Siktar, Alex Federspiel, Caroline K, Anusha Rahman
Problems 49
- Find a formula for the base bbb of a triangle, in terms of the height hhh and area AAA of the triangle.
- The volume of a can is equal to the area of the bottom multiplied by the height of the can. What kind of function is the volume function V(r)V(r)V(r) of the can in terms of the …
- The admission fee for an exhibition is 25\2525 per adult and 12\1212 per child. Last Tuesday, the exhibition collected 1950\19501950 in admission fees from at least one adult an…
- The diameter of the moon is 215921592159 miles. The volume of Earth is about 49.349.349.3 times larger than that of the moon. What is the Earth's diameter, approximately?
- Express the number of trees that need to be planted in terms of area used.
- Simon is interested in comparing temperatures in China (in Celsius) and temperatures in the US (in Fahrenheit). He finds out that the temperature in Fahrenheit is 323232 degrees…
- Which of these describes the formula for the perimeter PPP of a rectangle, if LLL represents length and WWW represents width?
- Every day Bob spends aaa hours inside the shower and bbb hours outside the shower, for a total of hhh hours. Which of a,b,ha,b,ha,b,h are non-constant variables?
- Suppose there are qqq questions total. Which equation represents ppp, the total number of points you could receive on the exam?
- The diameter, ddd, is twice the radius, rrr. If possible, express ddd as a function of CCC.
- If 333 "schmurkles" make a "schmorkle", and 444 "schmackles" make a "schmyckle" and I have 444 schmurkles, 333 schmorkles, 999 schmackles and 222 schmyckles, can you express wha…
- If we know that z=x−y+2xz=x-y+2xz=x−y+2x, can you write zzz in terms of only yyy? \\ Hint: Can you first write xxx in terms of yyy?
- You drink a Potion of Wander, and start wandering around back and forth. The net distance you travel now, ddd, is around half the product of your rate, rrr, and time, ttt. Write…
- Alex and his friends go out to dinner. They order aaa appetizers that cost 10\1010 each, mmm main dishes that cost 35\3535 each, and ddd desserts that cost 8\88 each. When the c…
- Your inbox contains ppp personal emails, sss spam, and ddd drafts. Write an equation for the total number of emails in your inbox, TTT.
- You win ddd dollars on a lottery ticket and decide to treat yourself to a day at the movies. If each ticket is 9.25\9.259.25, write an equation for the number of movies you can …
- The radius of a circle is the square root of the area over π.\pi.π. Write this relationship as a literal equation in which rrr is isolated on one side.
- You play hhh hours of a video game every day for ddd days. We can let TTT be the total time spent playing. Write the equation for TTT.
- Alex writes ppp problems each day, xxx explanations, and sss solutions. If he has to have a combined total of 200200200 at the end of the week, write an equation for the number …
- If there's jjj inches of snow on the ground and it snows kkk inches each hour, write an equation for the total snow, TTT, on the ground after 333 hours. Suppose the snow lasts f…
- You read aaa books with yyy pages and bbb books with zzz pages. Write an equation for the total number of pages read, TTT.
- You need to get ppp pizzas for your party to distribute among nnn friends. Each pizza has sss slices. If everyone gets the same amount of pizza, write an equation for how many s…
- The Expii office has eee designers, xxx programmers, ppp content writers, and iii Po-Shen Lohs at any moment. Which of the following represents the number of people in the office?
- Write an equation for TTT, the total area of a circle and a square where the radius rrr is the same length as the side of the square.
- Write an equation for the area of a square that has a circle inscribed in it with a radius rrr.
- An office supply cabinet has PPP pencils, OOO cases of TTT tape dispensers, and SSS staplers. How many supplies are in the cabinet?
- There are LLL cups of coffee in the expii office. Each cup has III ounces of coffee, VVV ounces of sugar, and EEE ounces of cream. What is the total weight of the coffee and all…
- Which of the following equations accurately reflect(s) the above scenario?
- The equation to determine a puppy's cuteness, CCC, is the sum of its fluffiness, fff, the angle its ears point, θ\thetaθ, how much it stumbles, sss, and chubbiness ccc. Write th…
- How much total wall space, TTT, would Kathy and Ali have painted after 333 hours? Represent this amount with a literal equation.
- Sophie saves xxx dollars every 100100100 dollars she makes. On average, for every 200200200 dollars she saves, Sophie spends yyy dollars of the saving to buy something that goes…
- Write a literal equation using aaa and bbb.
- The length and width of some rectangular frame is lll feet and www feet respectively. If we double both the length and width, how much would the area increase by?
- Two variables ppp and qqq have a linear relationship. When qqq is 222, ppp is −3-3−3. When qqq is −1-1−1, ppp is 333. Write an equation expressing the relationship between ppp a…
- The following equation describes the relationship between a,b,ca, b, ca,b,c: a=bc+2b+5.a=\frac{b}{c} + 2b +5.a=cb+2b+5. If b=2b=2b=2, what is the relationship between aaa and ccc?
- τ\tauτ is defined to be twice of π\piπ. We know the circumference of a circle with radius rrr is 2πr2\pi r2πr. Write the circumference in terms of τ\tauτ instead of π\piπ.
- τ\tauτ is defined to be twice of π\piπ. We know the area of a circle with radius rrr is πr2\pi r^2πr2. Write the area in terms of τ\tauτ instead of π\piπ.
- The volume of a cylinder with a radius of rrr and a height of hhh is expressed as the following: V=πr2hV=\pi r^2 hV=πr2h Say we have a separate cylinder with a radius twice of t…
- A triangle has base and height of aaa and bbb, respectively. Coincidentally, a rectangle has width and length of aaa and bbb, respectively. \\ What is the difference between the…
- The volume of a right rectangular pyramids is V=lwh3V=\frac{lwh}{3}V=3lwh, where lll and www are the dimensions of the base and hhh is the height.\\ Write the expression for ww…
- A fruit salad contains KKK kiwis, EEE envelopes with AAA apples each, TTT tomatoes, and SSS strawberries. How many total fruits are in the salad?
- A square tile has side length SSS feet. The floor measures RRR by TTT feet. How many tiles would it take to cover the floor?
- There are SSS strawberries in a carton. There are CCC cartons in a box. There are BBB boxes in a truck. If there are TTT trucks, how many strawberries are there in total?
- A spherical watermelon has a diameter of WWW inches. There are HHH watermelons in a circular garden with diameter GGG. What is the difference between the radius of the garden an…
- A turducken is a dish consisting of a chicken stuffed inside of a duck, which in turn is stuffed inside of a turkey. If you have CCC chickens, DDD ducks, and TTT turkeys, which …
- An empty swimming pool is 303030 feet wide and 505050 feet long. Water is being pumped into the pool at a constant speed and the level raises 111 feet every half an hour. What i…
- The area of a trapezoid is: A=12(a+b)×hA = \frac{1}{2} (a+b)\times hA=21(a+b)×h Where hhh is the height and a,ba, ba,b are the two bases. Can you write a formula of hhh in term…
- Two triangles have the same base, but the height of one triangle is 444 units longer than the other. What is the difference between the areas of these two triangles?
- Recall the circumference of of a circle given its diameter ddd is C=πdC = \pi dC=πd. The diameter of a circle is twice of its radius. What is rrr in terms of ddd? What is CCC in…