Algebra 1 Advanced Semester 1 Exam Review 2014

Transcription

1 Algebra 1 Advanced Semester 1 Exam Review 2014 Name: Mod: Your exam will cover Chapter 1 through Chapter 4. To best prepare, PRACTICE, PRACTICE, PRACTICE! Do not just complete these few assignments and be done, go back and look over each problem and keep practicing the steps. You may bring a 3x5 notecard to the exam. This notecard must be handwritten and you may use both sides. It may not be typed. Please put your name on your notecard, I will collect it after the exam. For potential extra credit and definitely extra practice, complete: 1. Exam Review Packet (attached) 2. MathXL Semester 1 Exam Practice We will only have 2 class days to prepare for the exam, so start this soon!

2 Chapter 1 Foundations for Algebra 1. What is the difference between an expression and an equation? Explain. 2. What are the order of operations? 3. Complete the table with phrases that represent each mathematical operation: + = 4. Identify the parts of a square root symbol: 5. List the perfect squares from 1 2 to Complete the diagram and given examples of each type of real number (notes 1.3)

3 7. Write the definition and give an example for each property of real numbers: Commutative Property of Addition of Multiplication Associative Property of Addition of Multiplication Identity Property of Addition Zero Property of Multiplication of Multiplication Multiplication Property of -1 Inverse Property of Addition of Multiplication 8. Give an example of the distributive property: 9. Give an example of like terms: 10. What is the difference between a coefficient and a constant? Give an example of each. 11. What do you get when you divide zero by anything? 12. What do you get when you divide anything by zero? Answer the following questions: 13. Evaluate the expression for x = 2 and y = Simplify the expression: 2x 1 3 y2 4(x + 2) 3(2x 1)

4 Chapter 2 Solving Equations 15. What are the inverse operations for each of the following? a. Addition: b. Subtraction: c. Multiplication: d. Division: 16. What is a literal equation? 17. What are the 3 ways to write a ratio? 18. What is a unit rate? 19. Use your textbook (pg. 814) to complete the following conversion rates: ft in yd ft gal quart ft mile fl oz cup *Also be familiar with all time conversions 20. What is a proportion? 21. How do you solve a proportion? 22. What is the percent equation? 23. What is the percent proportion? 24. How do you find percent of change? Solve each equation: = x 6(6x + 1) x = 4(x 6) + 5

5 (1 11 x ) = x 28. 4(x 4) = 8x (4x 16) 29. x 10 3 = x x 2 3x+1 = 9 2 Solve the literal equation for x. 31. xq + xp = c 32. p+q = c x Convert the following units: yd hr to?ft min in 15 sec =?ft hr Solve the percent equations. Round to the nearest tenth is 33% of what? is what percent of 118? Find the percent of change. State if it is an increase or decrease. Round to the nearest tenth. 37. From 73 to From 77 to 2

6 Chapter 3 Solving Inequalities 39. Write out the meaning of the following inequalities: > < 40. Solving inequalities are just like solving equations where your goal is to isolate the variable, except for what? 41. What is roster notation for sets? 42. What is set-builder notation? 43. What is the complement of a set? 44. What are the 2 types of compound inequalities? Draw a graph for each 45. What are the steps to solving an absolute value equation? Explain each step. 46. When is there no solution for an absolute value equation? Explain. 47. What are the steps to solving an absolute value inequality? Explain each step. 48. Explain the difference between the union and intersection of two sets.

7 Answer the following questions: < 2(7 + x) + x 50. ( 4 + 8x) < 4x 10 < x 80 or 7 2x x 12 3(x 4) x + 4 = x 10 = x x < Draw a Venn Diagram to represent the union and intersection of the sets below X = {a, b, cat, cow,, ) Y = {m, n, dog, cow, } Z = {a, p, cat, fish, cow,, }

8 Chapter 4 An Introduction to Functions 59. What are 3 other names for the independent variable? 60. What are 3 other names for the dependent variable? 61. If time is a variable in the equation, it is almost always the variable. 62. If when finding the y from a table of values the: 1 st y is consistent, then the function is and that y is the rate of change/slope. 2 nd y is consistent, then the function is in the form 3 rd y is consistent, then the function is in the form 63. What will the graph look like or what kind of graph will it be if given the following functions: y = x y = x 2 y = x 3 y = x 64. In function notation what does f(x) replace? 65. What is the definition of a function? Given a relation (set of points, graph, etc ) how do you know if it represents a function? Explain. 66. What is the vertical line test used for? Graph each equation using a table of values: 67. y = 3 2 x y = 2x2 3

9 69. y = x y = x Write a function rule for the area of a rectangle whose length is 5 more than twice its width. What is the area of the rectangle when its width is 2 ft? 72. The set of ordered pairs represents a function. Write a rule that represents the function. a) (0,0), (1, 2), (2, 16), (3, 54), (4, 128) b) (0, 1), (1, 2), (2, 5), (3, 8), (4, 11) c) (0,0), (1, 1), (2, 4), (3, 9), (4, 16) d) (0,5), (1,6), (2,9), (3,14), (4,21)

10 Mental Math & Fraction Practice Complete the following problems without a calculator: 73. 3(6 9) x+1 2x 7 = x = (9 4)2 ( 2) ( 2)(3) ( ) x = 2 3 x 1 9