Exam 6: Algebraic Thinking

Let's say you have a choice between two checking plans. With the first plan, you will be charged $ 3 per month plus 25 ¢ per check. With the second plan, you will be charged $ 4 per month regardless of how many checks you write. If you write only a few checks, the first plan is clearly cheaper. Similarly, if you write many checks a month, the second plan is clearly cheaper. Determine the number x that will enable you to make the following statement: If you write 1 to x checks per month, choose the first plan. If you write more than x checks per month, choose the second plan. ​

8 adults and 4 children need to cross a river in a small boat that can hold one adult or one or two children. How many one-way trips will it take for all of them to cross the river? ​

​Choose the story that best describes the graph.

In the figure below, the face of each cube is a 1cm by 1 cm square. Determine the surface area of the 19 th figure in the pattern. ​ ​

​Jerry scored 39 points in his basketball game today, which is 9 less than three times as many points than he scored in yesterday's game. How many points did he score in yesterday's game?

​During a two -week period, there were 240,000 births and 120,000 deaths worldwide. What do these numbers tell us about the rate of change in world population during these two weeks?

​Solve the following linear inequality. ​ ​

What is the next term in the sequence? ​ 2, 6 , 18 , 54 , 162 , ... ​

​A tree grows 3.0 feet during the first year of its life and grows one half foot per year each year after the first year. Translate the rule that calculates the height of the tree H in terms the age of the tree x in years into an equation. ​

​Solve the following linear inequality. ​ ​

​Sarah ate two thirds of the carrot sticks in her lunch yesterday and saved them for today. Her father added 8 more carrot sticks to her lunch for today. Now she has 17 carrot sticks in her lunch today. If x is the number of carrot sticks Sarah originally had in her lunch yesterday, write an equation that can be used to solve for x .

A store manager uses a markup rate of 25% on all appliances. Find the cost of a blender that sells for $64.00. Round your answer to the nearest cent. Note: Use the formula S = C + M , where S is the selling price, C is the cost price, and M is the markup. ​

Solve the following linear inequality. ​ ​

​Which of the following relationships is not a functional relationship? ​

​A road sign says there is an 12 % incline. Choose the correct explain for the meaning of the road sign. ​

Determine the following products: 1 x 1089, 2 x 1089,.3 x 1089. ​ Now predict the product 5 x 1089. ​

Examine the following phrase made famous by Fred Flintstone: ​ Y a b b a d a b b a d o o ​ If this pattern is repeated over and over, what letter will be in the 221st position? ​

What is the next term in the sequence? ​ 10, 1, 9, 2, 8, 3,..... ​

Jack and Jill decide to start a rumor that there will be no school on the following Monday. If each of them tells 1 person, and each of those people tells exactly 1 other person, and so on, how long will it take until all 1024 students in the school hear the rumor? Assume that everyone who knows the rumor will tell exactly one person every hour. That is, initially Jack and Jill know; after 1 hour, 2 more people know, . . . ​

​Which of the following relationships is not a functional relationship? ​