NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve = 6 3v = -3(c + 5)

Transcription

1 FINAL EXAM REVIEW, p. 1 NAME DATE PER. FALL FINAL EXAM REVIEW ALGEBRA 1 Solve. 1. = 6 v. 1 = -(c + 5). 5 (x ) = 6. 7x + = 5x r x 1 x 5 Write an equation, and then solve. 7. Ben joined The Fitness Place for an initial membership fee of $55 and $ per month. If he paid a total of $79, how many months was Ben a member? Equation: 8. A decorator charges $ for an initial consultation, then $8 per hour. Another decorator just charges $9 per hour. How long is a job for which the two decorators charge the same price? Equation:

2 FINAL EXAM REVIEW, p. 9. If the perimeter of the rectangle below is, find the value of x. (x + ) Equation: (x ) Solve d > t 6 > 6(t + 1) Write an inequality, and then solve. 1. Tammy earns money by mowing lawns for her neighbors. She currently has $75 and plans to mow lawns until she has at least $ in savings. If she earns $ for every lawn she mows, how many more lawns does she have to mow to reach her goal? Inequality: Simplify. 1. -a -5a 1. 15a 18a b b a b c a b (6a )(a a 7 6 )

3 FINAL EXAM REVIEW, p. Use the graph shown to answer the questions List the ordered pairs 18. Create a mapping. x y 19. Identify the domain and range. D =. Is this relation a function? YES or NO Why or why not? R = Answer the following. 1. Which of the following mappings represents y as a function of x? A. -9 B. C Which of the following sets does not represent a function? A. {(-1, ), (-, ), (-, ), (-, )} C. {(5, -), (-, 6), (1, 8), (7, 5)} B. {(-5, ), (-1, 5), (-5, ), (-1, 7)} D. {(6, -), (, 9), (-, 5), (9, -1)}. Find the range for f(x) = -x² + for the domain D= {1, -, -}. If f(x) = x find f(-).

4 FINAL EXAM REVIEW, p. Identify the domain and range of each graph D = R = D = R = 7. The table below shows the relationship between total tuition costs, T, and the number of semester hours taken at Blinn College. semester hours taken, h total tuition cost, T a) Which statement is true? A. The hours taken depends on the total tuition costs B. The total tuition cost depends on the amount of fees charged. C. The total tuition cost depends on the hours taken. D. Cannot be determined b) Find the function that would represent this relationship. = c) What is the value of T(16)?

5 FINAL EXAM REVIEW, p Suppose the total cost, C, of renting a car is $5 per day, d, plus an initial fee of $1. a) Write a function that best describes this relationship if d represents the number of days the car is rented. b) What would be the total cost of renting a car for 9 days? c) Find the number of days you could rent a car for $ Determine the slope of the line shown. m =. Find the slope of the line through the points (, 7) and (-1, -). m = Identify the slope and y-intercept, then sketch the graph of each equation. 1. y = 5 x m = b =

6 Identify the slope and y-intercept, then sketch the graph of each equation.. x + y = 1 FINAL EXAM REVIEW, p. 6 m = b =. x y = 5 m = b =. y = x = m = b = m = b =

7 FINAL EXAM REVIEW, p What is the equation of the line shown in the graph? Equation: 7. Find the rate of change and y-intercept of the line with the equation 5x y = If (x, -6) is a solution to the equation x + y = 18, what is the value of x? 9. If the point (5, y) is a solution to the equation x y =, what is the value of y?. Using the graph shown answer the following. a) What is the x-intercept? b) What is the y-intercept?

8 FINAL EXAM REVIEW, p. 8 Using the given information, write the equation of each line. has a slope of - and goes through the point (-6, ) 1.. passes through (, 7) and (-, ). x-intercept of 6 and y-intercept of. has a y-intercept of -1 and a rate of change of parallel to y = 5 x + and goes through (-6, -) 6. perpendicular to y = 6x + 1 and goes through (1, -5) a horizontal line that passes through the point (9, -6) a line with an undefined slope that passes through the point (-6, )

9 FINAL EXAM REVIEW, p Graph 6x + y < In #9, which of the following coordinates represents a solution to the inequality? A. (1, 1) C. (-, 1) B. (-, ) D. (-1, -) 51. Graph x + y > -x + y < 5. x 1 y 5 7 a) Find the function that could be used to represent the table above. b) What is the value of y when x is 5? 5. Does the table shown represent a direct variation? If so, write its equation. x y If y varies directly as x, and y is 7 when x is, find the equation that represents this situation.

10 FINAL EXAM REVIEW, p. 1 Answers in Random Order: -16 5a y = x + 1 (, 5) or 5 (, -) or - x > -, y < 5 6b -1 x < - 8a 1 y = -x Yes {-5, -,,, 7} y = x x < 6 x > < x < y = x y = x < y < 5 (, -5) or -5 {, -, 1, 6, } y = x B a 7 x = -6 undefined 5 {-, -8, 1} -6 B - y = -6 1 (-, ) T(h) = 8h C 97 a b 11 y = 1 {(-5, ), (-5, -), (-, 1), x + y = x 1 (, 6), (, -), (7, )} C none y = -6x 1 (, -6) (, -) (, -5) or No; x s are not all different Good Luck! Do your best! y = x C = 5d + 1 x = y = -5

11 FINAL EXAM REVIEW, p. 11