Translate each statement into an algebraic equation. Use a variable to represent the unknown quantity. Do not solve the equation.
1. The sum of a number and 8 is the same as triple the same number.
2. Five times the sun of a number and 3 gives -60. Approximate the circumference and area of a circle with a radius of 8 cm using 3.14 as an approximation for π. Show all your steps and calculations.
3. Find the circumference, C = 2πr
4. Find the area, A=π r 2 For the following problems, be sure to define your variables, write an equation and solve. Show all your steps. 5. William Fausto works with special needs students and uses math riddles to engage them. In a recent class activity William used the following problem:
If the product of -7 and a number is increased by 11, the result is 13 less than the number. What is the number his students should have found?
6. Joshua Lampkin is building a small rectangular wall shelf to display a recent Social Work award. The length of a rectangle is 8 inches longer than the width. If the perimeter of the shelf is 60 inches, find the measures of the length and width.
7. Chris Howell is a waiter at a local restaurant and therefore is knowledgeable about the cost of food. He and those he lives with spend 4/25 of their monthly budget on food. If the residents have a total of $4200 to spend each month, how much is spent on food?
8. Sammy Martinez is a business consultant who studies past performance for various large gaming companies. The revenue R, in billions of dollars, for all game sales for Ultimate Gaming Inc. can be estimated by the formula R= 9 2 x-8939 where x is a year from 2000 to 2008. Find the year that Sammy calculated as when the company's gaming revenue was 61 billion dollars by solving the equation 61 = 9 2 x-8939.
9. Eric Beitz is demonstrating to classmates how to write an Excel formula to convert between C degrees Celsius and F degrees Fahrenheit. The formula C= ( F-32) 1.8 gives the relationship between C degrees Celsius and F degrees Fahrenheit. Use Eric's formula to find the Fahrenheit temperature that is equivalent to 35 degrees Celsius.
10. David is Atencio is working at a local health clinic to promote and maintain heart health. He uses the formula T = -0.5x + 120 where a person who is X years hold should maintain a minimum target heart rate of T beats per minute during extended exercise. If one of David's patients minimum target heart rate is T= 90 beats per minute, determine his patient's age.