For problems #1-4, use the following equation: 5.4 a.) b.) c.) 5.4 d.) none 1. What is the initial value?. What is the growth/decay factor?. What is the decay rate? 4. What is the growth rate? NAME Algebra 1 EOC Review 01 5. An initial population of 8 squirrels triples each year for 10 years. Which of the following equations models this population? a) 8 b) 8 c) d) 8 6. Write an equation that represents the given line. A) y = -5x + B) y = 5x C) y = -5x D) y = 5x +
7. Write the equation of the line graphed below. A) x = 5 B) x = -5 C) y = 5 D) y = -5 8. Write the equation of the line in slope intercept form that goes through the points (, -7) and (-, 11). A) y = 18 5 x + 19 5 B) y = 18 5 x + 19 5 18 C) y = x - 19 5 5 4 19 D) y = x + 5 5 9. Write the equation of the line that represents the data from the following table: Input 1 4 5 Output -5-9 -1-17 -1 A) y = -4x + 1 B) y = -4x 1 C) y = 4x + 1 D) y = 4x - 1 10. Write the equation of the line that goes through the points (-6, 8) and (-6, 1). A) x = 6 B) x = -6 C) y = 6 D) y = -6
11. The graph below models the relationship between Women s shoe sizes vs Height. Based on the linear model, what is the best prediction of the shoe size of a woman who is 7 inches tall? A. 11 B. 10.5 C. 10 D. 9.5 1. Which of the following equations models the line of best fit for the table below. A. y = x B. y = x 8 C. y = 4x 11 D. y = 5x 5 1. The graph below models the graph of a linear system. Line a is parallel to line b.
14. Admission to the zoo is $ each for c, children and $5.50 for a, adults. Which equation shows the number of each kind of admission you can buy for $0? A. c 5.5a = 0 B. a 5.5c = 0 C. c + 5.5a = 0 D. a + 5.5c = 0 15. The scatter plot below, shows the average employee s weekly earnings for Mississippi in 1989, 1994, 1997. Which is the best prediction for an individual s salary in 007? A. $485 B. $495 C. $500 D. $510 16. Simplify the following expression: (5x x + x + 7) + (x + 7 4x) (4x 8 x ) a) 4x + x 5x + 6 b) 4x + 9x 5x + 6 c) 6x + x 5x + d) 6x + x 4x + 17. Multiply the following expressions: (x + )(5x + 1) a) 10x + 15x + b) 10x + x + c) 10x + 8x + d) 10x + 17x +
18. Which expression models the perimeter of the following figure? a) 5x + b) 5x + 0 c) -x + 0 d) 6x + 0 19. Which expression models the area of the following figure? a) b) c) d) x + 7x 5 x + 5x 7 x + 6x 5 x 5x 7 0. Which expression models the volume of the following figure? a) b) c) d) + 8 + 6 h h h + 6 + 6 h h h h + 8h + 6 h + 8h + 6 1. Is x = a solution to the equation 4x = 1? a) yes b) no. Solve the equation 1 x = 10 a) x = 5 b) x = 0 c) x =.5 d) x = 0. Solve the equation 4x = x + 1 a) x = 0 b) x = 1 c) x = d) x = 6
4. The perimeter of the triangle is 4 feet. Solve for x. a) x = feet b) x = 15 feet c) x = 4 feet d) x = 0 feet 5. You are starting a babysitting business. You charge $0 per hour and you have already spent $100 in start up costs for marketing. If you want to make $750 in profit this summer, how many hours should you babysit for this summer? a) 40 hours b) 41 hours c) 4 hours d) 4 hours 6. Which of the following are solutions to the equation:? a) x = 16 and x = -16 b) x = 4 and x = -4 c) x = 8 and x = d) x = - and x = -8 7. The equations 1 17 4 x 1 = has a solution between which two integers? a) 1 and b) and c) and 4 d) 4 and 5 8. What are the solutions to x + 5x = 8? a) 8 1 and b) 8 1 and c) 8 8 1 and d) 1 and 9. How many solutions will the following equation have x 6x 5 0 + + =? a) many solutions b) one solution c) two solutions d) no solutions 0. How many solutions will the following equation have: x 7 = 0? a) many solutions b) one solution c) two solutions d) no solutions 1. Which of the following represents the solution set for the inequality x + 4 > 16? a) x < 4 b) x > 4 c) x < d) x >
. Which of the following represents the solution set for the inequality: 7 8 1? a) 1 4 b) 1 4 c) 1 4 d) 1 4. Solve the following absolute value equation: 7 1 a) x = 7 and x = -7 b) x = 14 c) x = 14 and x = -7 d) x = and x = 7 4. Solve the following absolute value equation: 10 5 45 a) x = 4 and x = -4 b) x = -4 c) x = 4.5 and x = -4.5 d) x = 5 and x = -5 5. Solve the following absolute value inequality: 6 1 4 a) 4 4 b) 6 c) 6 d) 6. In Cleo s class, g, the number of girls, is times b, the number of boys. There are a total of 8 students in the class. Which system of equations could be used to evaluate this situation to determine the number of boys in Cleo s class? A. b + g = 8 B. b = 8 + g C. g = 8 + b D. b + g = 8 b = g g = b b = g g = b
7. Which of the following system of linear equations are neither parallel nor perpendicular? A. 8 y = x 8 5 y = x B. 7 1 y = x 4 4 1 y = x 7 7 C. 6 4 y = x 5 5 6 y = x 5 5 D. 1 y = x + y = x + 8. What is the value of y in the solution set of the system of linear equations shown below? y = x + 1 4x y = 6 A. 10 B. 8 C. 6 D. 9. Mrs. Delgado purchased notebooks at for $5.00 and pens at $.00 per package. She spent $19.00 for a total of 8 items. Which system of equations below could be used to find n, the number of notebooks, and p, the number of packages of pens, that Mrs. Delgado purchased? A. n + p = 8 5.00n +.00p = 19.00 B. n + p = 8 7.00(n + p) = 19.00 C. n + p = 8.50n +.00p = 19.00 D. n + p = 8.50n +.00p = 19.00
40. Which of the following graphs best represents the solution of the system of linear equations shown below? y=x+4 x + y = 8 A. B. C. D. 41. Which inequality best represents the graph shown below? 4. Which graph best represents the solution to the system of linear inequalities below?.
4. Nathan correctly graphed the line of the inequality x + 4 y > 4 on a coordinate grid, as shown, but did not shade the solution set. Which of the following points would appear in the solution set of this inequality? A. (8, -1) B. (-5, -4) C. (-1, -8) D. (-5, 4) 44. Which of the following graphs best represents the solution set to the system of linear inequalities shown below?
45. Which of these best represents the graph of the solution set to the inequality x y 1?