1st Semester Exam Review 2015 - 2016 – Algebra 1 Name ______________________________ Date ____________________ Block _____ DIRECTIONS: Complete the following problems. Show all necessary and mathematically correct work. 1. Suzie has $35 and is going to buy t-shirts that cost $6.00 each. Write an expression to show how much money she will have left after buying a certain amount of t-shirts. 2. If 224 students sign up for a field trip and each vehicle carries c students, write an expression that could be used to determine the number of vehicles needed for the trip. 3. Write an algebraic expression that could represent the statement below. “A number increased by five squared.” 4. Write your answer in simplest form. Use “/” to represent a fraction bar. 4x|x2 – 7|, if x = −5 4xy 5. What is the value of 6. What is the solution for h in the following equation? 4z when x = 3, y = 5, and z = −7? 1 A = bh 2 7. What is the value of this expression when a = 27 and b = −6 3 −3 √𝑎 + b2 8. Given the equation my + nx – p = 0, solve for the variable p. 9. What property is illustrated by the equation? m(8m + 3n) = 8m2 + 3mn 10. The equation (4sin−1Θ - 18π)(1) = 4sin−1Θ - 18π is an example of which property of real numbers? 11. What is the solution for the following equation? 12(x + 5) + 4 = 16(2x – 5) + 44 12. What is the solution to the following equation? 6x 3 + 7 = 17 13. What is the solution to the following inequality? −10(r – 19) > −20 + 4r 14. The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs is y a function of x? a. {(−7, 14), (2, 8), (2, 15)} b. {(−7, 14), (2, 14), (3, 15)} c. {(0, 14), (0, 7), (7, 0)} 15. Look at the relations shown in the table. Which relations are not functions? Explain. 16. The function below contains ordered pairs of the form (x, y). f = (6, 8), (−4, 3), (5, 1) What is the domain of the function? 17. Using the function in #16, draw the mapping that represents the function. 2 18. If f(x) = x2 + 5, what is the output for an input of ? 3 19. What are the range values of the function f(x) = 3x + 5 for the domain values {−1, 3, 7}? 20. The following equation defines a function of x. f(x) = 3x – 1 If (−3, n) is an element of the function, what is the value of n? 21. For the above box and whisker plot, identify the… a) Median _______________________ b) Upper Extreme _________________ c) Lower Quartile _________________ 22. Using the same box and whisker plot, what percentage of scores are above 70? 23. From the plot above, who is the better salesperson, Carl or Angela? Why do you think so?