Let x represent age. Define your variables. Tamara has two sisters. One of Tamara’s the sisters is 7 years older than Let x+7 represent the older Check your answers. Tamara. The other sister is 3 age. Remember than sister’s “is” means =. years younger than Tamara. The Let x-3 represent the younger product of Tamara’s sisters' ages age. sister’s is 24. How old is Tamara? Write: Solve for x. x = 5 Area, Volume and Perimeter Problems Typical Problem in English Mathematical Translation Hints and Strategies If the length of a rectangular Use the formula Use a geometric formula as a V = lwh. prism is doubled, its width is Let the volume of the original guide. tripled, and its height remains the rectangular prism be same, what is the volume of the represented by lwh. new rectangular prism in relation Let the volume of the new to the volume of the original rectangular prism be rectangular prism? represented by , which simplifies to 6 times lwh. The new rectangular prism has six times the volume of the original rectangular prism. Coin Problems Typical Problem in English Mathematical Translation Hints and Strategies Work with cents as units. Byron has 72 coins in his piggy The total value of all coins is bank. The piggy bank contains 1470 cents. only dimes and quarters. If he Let the number of quarters be Remember that each coin has a has $14.70 in his piggy bank, represented by and the value of q specific value in cents write an equation that can be used quarters be represented by 25q. to determine the number of Let the number of dimes be q, quarters he has? represented by 72 and the q – value of dimes be represented by 10(75 q) – Write: Solve for q. Consecutive Integer Problems Typical Problem in English Mathematical Translation Hints and Strategies The sum of three consecutive odd Let x represent the first integer. For consecutive integer integers is 18 less than five times Let x + 2 represent the middle problems, define your variables the middle number. Find the integer. as x, x + 1, and x + 2 three integers. [Only an Let x + 4 represent the 3rd algebraic solution can receive full integer. For consecutive even or odd credit.] Write: integer problems, define your variables as x, x +2, and x + 4.
Tamara has two sisters. One of the sisters is 7 years older than Tamara. The other sister is 3 years younger than Tamara. The product of Tamara’s sisters' ages is 24. How old is Tamara? Let x represent Tamara’s age. Let x+7 represent the older sister’s age. Let x-3 represent the younger sister’s age. Write: Solve for x. x = 5 Define your variables. Check your answers. Remember than “is” means =. Area, Volume and Perimeter Problems Typical Problem in English Mathematical Translation Hints and Strategies If the length of a rectangular prism is doubled, its width is tripled, and its height remains the same, what is the volume of the new rectangular prism in relation to the volume of the original rectangular prism? Use the formula V = lwh. Let the volume of the original rectangular prism be represented by lwh. Let the volume of the new rectangular prism be represented by , which simplifies to 6 times lwh. The new rectangular prism has six times the volume of the original rectangular prism. Use a geometric formula as a guide. Coin Problems Typical Problem in English Mathematical Translation Hints and Strategies Byron has 72 coins in his piggy bank. The piggy bank contains only dimes and quarters. If he has $14.70 in his piggy bank, write an equation that can be used to determine q, the number of quarters he has? The total value of all coins is 1470 cents. Let the number of quarters be represented by q and the value of quarters be represented by 25q. Let the number of dimes be represented by 72 – q and the value of dimes be represented by 10(75 – q) Write: Solve for q. Work with cents as units. Remember that each coin has a specific value in cents Consecutive Integer Problems Typical Problem in English Mathematical Translation Hints and Strategies The sum of three consecutive odd integers is 18 less than five times the middle number. Find the three integers. [Only an algebraic solution can receive full credit.] Let x represent the first integer. Let x + 2 represent the middle integer. Let x + 4 represent the 3rd integer. Write: For consecutive integer problems, define your variables as x, x + 1, and x + 2 For consecutive even or odd integer problems, define your variables as x, x +2, and x + 4.
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