UNIT #4 LINEAR FUNCTIONS AND ARITHMETIC SEQUENCES REVIEW QUESTIONS

Size: px

Start display at page:

Download "UNIT #4 LINEAR FUNCTIONS AND ARITHMETIC SEQUENCES REVIEW QUESTIONS"

Stephanie Cook
6 years ago
Views:

1 Name: Date: UNIT # LINEAR FUNCTIONS AND ARITHMETIC SEQUENCES REVIEW QUESTIONS Part I Questions. Carl walks 30 feet in seven seconds. At this rate, how man minutes will it take for Carl to walk a mile if there are 5,80 feet in one mile? () 7.3 minutes (3) 0.5 minutes ().8 minutes () 7.8 minutes. Which of the following points lies on the graph of the line 5? () 0, (3), (), 8 (),0 3. Which of the following is the equation of the line shown graphed below? () 3 () 3 (3) 6 () 6. A cell phone plan charges a flat monthl fee of $5.5 and an additional $0.07 per hour spent talking on the phone. Which of the following functions gives the cost, c, of the cell phone plan as a function of the number of hours, h, spent talking? (3) c.07h 5.5 () c.07h 5.5 () c5.5 h.07 () c 5.5 h Which of the following is the slope of the line that passes through the points 3, 5 and, 5 () 5 (3) 7 3 () 3 () 5 emathinstruction, RED HOOK, NY 57, 05

2 6. The function f is shown graphed in which choice below? () (3) () () 7. Which equation below could describe the graph shown? () () 5 3 (3) () 8. Which point is a solution to the sstem of equations shown below? () 3, 7 (3), 5 () 0, (), If f 8 and f n f n then which of the following is the value of 3 () 5 (3) 3 () 7 () 6 emathinstruction, RED HOOK, NY 57, 05 f?

3 0. The first two terms of an arithmetic sequence are 6 and, respectivel. Which of the following represents the th term of the sequence? () 7 (3) 76 () 66 () 6. Which of the following inequalities is shown graphed below? () () (3) (). If f 3 7, then which of the following is the value of () (3) 9 () 3 () 7 f? 3. If a line is drawn parallel to the -ais through the point,, then its equation would be () (3) () (). A line with a slope of 5 passes through the point 3, 8. Which of the following is the value of its - intercept? () 7 (3) 8 () () 5 5. In order to convert 3.6 meters into ards, Evin used the following product: 00 centimeters.5 centimeters foot ard 3.6 meters meter inch inches 3 feet Which of the following ratios was written incorrectl in this conversion process? () 00 centimeters meter (3) foot inches emathinstruction, RED HOOK, NY 57, 05

4 .5 centimeters () inch Free Response Questions () ard 3 feet 6. Write the equation of the line, in m b Show how ou arrived at the values of m and b. form, that passes through the points, 5 and 5, Graph each of the following lines on the grid below. Label each with its equations Show that the point, is a solution to the sstem shown below. 7 and 9. Given the arithmetic sequence shown below, write a recursive rule for the sequence.,,, 0,... emathinstruction, RED HOOK, NY 57, 05

5 0. People are entering a stadium at a stead rate of 3 people per minute. When the gates open, there are alread 6 people in the stadium. No one leaves the stadium for the first hour after the gates have opened. (a) How man people will be in the stadium 30 minutes after it opens? Show the calculations that lead to ou answer. (b) Write a linear equation for the number of people, n, as a function of the time in minutes, m, since the gates were opened. (c) After one hour, no additional people enter, but some start to leave. If it takes them a total of hours to leave the stadium, what is the average rate at which the leave, in people per hour? Show the calculations that lead to our answer.. Graph the function f 3 on the interval 6 6 on the grid below. What is the range of this function over this domain interval?. A sequence is defined b the recursive formula a 6 and an an n. Write out the net three terms of this sequence. Show the work that leads to our terms. emathinstruction, RED HOOK, NY 57, 05

6 3. Graph the linear inequalit 5 5 on the grid below. State one point that lies in its solution set.. Consider the function f round, where round rounds the input,, to the nearest integer. (a) Evaluate each of the following: (b) Eplain wh the value.7 could not be part of the range of this function. f f f (c) Graph the function on the grid below for all values of in the interval 0 6 emathinstruction, RED HOOK, NY 57, 05

Additional Practice. Name Date Class

Additional Practice. Name Date Class Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Name Date Class Additional Practice Investigation For Eercises 1 4, write an equation and sketch a graph for the line