Exam 6: Algebraic Thinking

​Using the table, find a formula for y in terms of n . ​ ​

​Sarah ate two thirds of the carrot sticks in her lunch yesterday and saved them for today. Her father added 10 more carrot sticks to her lunch for today. Now she has 21 carrot stick in you lunch today. How many carrot sticks did Sarah originally have in her lunch yesterday?

​Ari has $ 1900 in a savings account at the beginning of the year. He wants to keep at least $ 800 in the account for a safety net. He withdraws $ 100 each week for spending money. How many weeks can he withdraw money?

What is the next term of the sequence? ​ 54, 48, 42, 36, 30, ...... ​

Jack and Jill run a catering business. Their fee for catering banquets is $ 145 plus $ 6 per person. Their goal is to gross $ 3500 a month. How many 100 person banquets do they need to average in order to make their goal? Round your answer to the nearest whole number. ​

Find the number of units made during a week when the total cost was $39,000, the cost per unit was $9, and the fixed costs were $3000. Use the formula T = U · N + F , where T is the total cost, U is the cost per unit, N is the number of units made, and F is the fixed cost. ​

​Solve the following linear equation. ​ ​

​The school auditorium has 470 seats. At least 20 seats will be saved for community members and donors without children in the school play. If each family with children in the play receive five tickets, at most how many families will be able to receive tickets?

​A small tumor in a patient begins to grow a steady rate for two years until the patient was treated. Over the next year, the tumor begins to shrink slowly and then shrinks faster and faster during the fourth year until it is smaller than it was when it began to grow. Sketch a graph that shows the size of the tumor over time.

​Solve the following linear inequality. ​ ​ ​

Julio, a sales executive, averages 29 mi/gal on a 749 -mile trip. Find the number of gallons of gasoline used on the trip. Round your answer to the nearest tenth of a gallon. Note: Use the formula D = m · g , where D is the total mileage, m is the average mileage, and g is the total number of gallons used. ​ ​

​Solve the following linear inequality. ​ ​ ​

​Solve the following linear inequality. ​ ​ ​