North Seattle Community College Math 084 Chapter 1 Review For the test, be sure to show all work! Turn off cell phones. Perform the operation. Perform the operation. Write the product using exponents. Perform the operation and simplify the result if possible. Perform the operation and simplify the result, if possible. Perform the operation and simplify the result if possible. Write the fraction as a decimal. If the result is a repeating decimal, use an overbar. Add. Add, then simplify your answer. Perform the operation. PAGE 1
Perform the operation. Translate the verbal model into an equation. The number of waiters w needed is the quotient of the number of customers c and 8. Perform the operation and simplify the result when possible. Subtract. Subtract, then simplify your answer. Perform the operation. Evaluate the expression. Evaluate the expression. Translate the phrase to an algebraic expression. Twice the sum of 210 and t. PAGE 2
- Deductions d Translate the phrase to an algebraic expression. Tickets to a circus cost $3 each. Express how much tickets will cost for a family of x people if they also pay for two of their neighbors. Use the formula to complete the table. t = 2000 - d Take-home pay t Perform the operation and simplify the result when possible. Perform the operation. Perform the operation. Please enter your answer as a decimal fraction or integer. Evaluate the expression, given that x = 3, y = - 2, and z = - 10. Perform the operation and simplify the result, if possible. Perform the operation. PAGE 3
ANSWER KEY Chapter 1 Review 1. 2. 3. 4. 5. 6. 7. 9. 8. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 21. Deductions d Take-home pay t 20. 22. 23. 24. 25. 26. 27. ANSWER KEY - Page 4
North Seattle Community College Math 097 Chapter 2 Review Things to Remember: All test questions will be short answer. There will be no multiple-choice or true/false questions. Show all of your work. I give partial credit, so even if your final answer is not correct, you might receive some points if your works shows that you were on the right track. No books or notes are allowed. Calculators are allowed. The test problems will be similar to the problems in your homework, those worked in class, or on this review. There will be application problems on the test such as problems demonstrated in class. 1. Simplify the expression: Solve the formula for the given variable. Solve each equation: 12. for 2. 13. h = vt + 16t 2 for v 3. 2x + 5 = 11 14. for 4. Solve each inequality. Write the solution set in interval notation, and graph the solution set. 5. - 3(3y - 3) - 2y = 8 15. 6. 16. 7. 9y - 1 = 5y + 5 17. 8. 18. 9. 19. Use the distributive property to remove the parentheses: 10. 11. b g b g 0 8x+ 2 2 x = 6 x+ 2 1 3(s + 2) + 2 = 2(s + 4) + s 20. Simplify the expression by combining like terms: PAGE 1
answers 1. 11. All Real Numbers 2. 12. 3. 13. h t v = 16 2 h or v = 16 t t t 4. 14. 5. 15. 6. 16. 7. 17. 8. 18. 9. 19. 10. 20. PAGE 2
North Seattle Community College Math 084/097 Chapter 4/5 Review For the test, be sure to show all work! Simplify. Assume there are no divisions by. Simplify. Assume there are no divisions by. Simplify the expression. Write the answer without using parentheses or negative exponents. Simplify the expression. Write the answer without using parentheses or negative exponents. Write the number in scientific notation. 0.00073 On July 4, 1997, the Pathfinder, carrying the rover vehicle called Sojourner, landed on Mars to perform a scientific investigation of the planet. The distance from Mars to Earth is approximately miles. Use scientific notation to express this distance in feet. (Hint: 5,280 feet = 1 mile.) Find the degree of the polynomial. Perform the operations. Find the product. PAGE 1
Find the product. Find the product. Find the product. Find the product. Find the product. Perform the division. Perform the division. The area of the furnace filter is Find its length. square inches. PAGE 2
Factor by grouping. Remember to factor out the GCF first. Factor the polynomial. Factor completely. Factor the polynomial completely. If a polynomial is not factorable, write prime. Solve the equation. Solve the equation. Solve the equation. Simplify the polynomial. PAGE 3
Math 097 Chapters 4 & 5 Review Answer key 1. 14. 2. 15. 3. 16. 4. 17. 5. 5.0261 X 10 4 18. 6. 19. 7. 20. 8. 21. 9. 22. 10. 23. 11. 24. 12. 25. 13. note: There will be application problems on the test such as problems demonstrated in class or assigned from the text.
Beginning Algebra Chapter 3-7 Review For the in class test: Show all work. Use only pencil. Turn off cell phones. For problems 1-3, graph the equation. Carefully label the graph. 1. 3 x +y= 2 Find 3 ordered points by using a t chart then graph the line. 3 2. y = x 2 Find the y intercept then count the slope. Graph the line. 4 3. y = 3 Graph the line.
Problems: Answers: 4. Write the equation of the line with a slope of 5 3 and a y intercept of -4. 4. 5. Find the slope of the line through (4, -2) and (-7, 8) 5. 6. Write the equation of the line passing through (3, -7) and (-3, 1) 6. 7. Solve the system by graphing. 4x 2y= 8 y= 3x+ 6
8. Solve the system by the elimination method. 2x+ 5y= 11 7x 3y= 5 8. 9. Solve the system by the elimination method. x y= 1 x y= 7 9. 10. Solve the system by the substitution method. x y= 2 y= 2x 10 10. 11. Solve the system by the substitution method. y= 3x 2 6x+ 2y= 4 11.
12. a. Write the following equation in standard form of a line. 12. a 5 y = x+ 3 3 b. Is the slope of the line negative or positive? Why? b c. Find the x and y intercepts of the equation. Write the answer as ordered pairs. c. d. Find the equation of the line parallel to 12-a that passes through the point (0, -1) d. Solve the following problems. Be sure to set up a system with two variables and use either the substitution method or elimination method to solve the system. 13. 13. A total of $14,000 was invested. Part of the $14,000 was invested at 6% and the rest invested at 8%. If the interest for one year is $1060, how much was invested at each rate? 14. The sum of two numbers is 18. If twice the smaller number is 6 more than the larger, find the two numbers. 14. 15. Graph the inequality. 3 x 2y> 6
North Seattle Community College Math 085 Chapter 8 Review For full credit on your test, be sure to show all work. Problems: Answers: For problems 1-10, find the roots. Assume all variables represent positive numbers. 1. 100 y 4 16 x 1. 2. 14 80b 2. 3. 15 32 n 5 7 m 3. 4. 3 11 x 48x 4. 5. 7 5. 81 6. 144x 121 10 y 22 6.
2 7. 7 100 5 7. 7. 8. 50 6 8. For problem 9 and 10, add or subtract. 9. 7 242+ 9 32 9. 9. 10. 7 108a 7 3 a 75a 10. 10. For problems 11-14, multiply. 11. ( 6 2)( 6+ 12) 11. 11. 12. ( 7 + 6)( 7 w 6) w 12. 12.
3 For problem 13, rationalize the denominator. 17 + 8 13. 17 8 13. For problems 14 16, solve the equation. 14. 8 x 8+ 2= 0 14. 15. 6 x + 13 2= 5 15. 16. y+ 2 = 4 y 16. For problems 17-18, simplify the expression. 17. 3 54 17. 3 18. 2 36 18.
North Seattle Community College Math 085 Chapter 9 REVIEW F 06 For problems 1-2, use the square root property to solve each quadratic equation. 1. x 2 = 44 2. ( 3x 6) = 81 2 For problems 3 & 4, complete the square to solve the equation. 2 3. x 8x 3= 0 4. 5x 2 + 9x 2= 0
For problems 5 & 6, use the quadratic formula to solve the equation. 2 2 5. x + 4x 7= 0 6. 5x 2 + 10x+ 1= 0 Write as a complex number. 7. 98 Combine like terms and simplify. 8. ( 2 3i) ( 5 2i) + ( 5 i) For problems 9 & 10, multiply and simplify. 9. 7 i( 5+ 2i)
10. ( 3 4i )( 5+i) 3 Divide. 11. 4 5i 4+ 5i 12. Graph the following quadratic equation. Be sure to answer all questions. Label your points carefully and be sure to draw the axis of symmetry. 2 y = x + 7x+ 10 The shape of this graph is a. The graph opens. The vertex is. The axis of symmetry is. The y intercept is. The x roots are.
North Seattle Community College 1. Solve the equation. Math 085 Final Review 2. Solve the system by graphing. 3. Use the quadratic formula to solve the equation. 4. Solve the equation. 5. ( 4 )( 3 1.3 10 4.8 10 ) Write the solution in scientific notation. 1.2 10 5 6. Solve the proportion. 7. Write an equation of the line that passes through the points (7, - 4) and (- 11, 2). Write your result in slope-intercept form. 8. Solve the equation by completing the square. 9. Use the elimination method to solve the system. 10. Simplify the expression, if possible. 11. Simplify the complex fraction. 12. Use the substitution method to solve the system. 13. Perform the operation. Simplify, if possible. 14. Perform the division. 15. Use the quadratic formula to solve the equation. 16. Multiply and simplify, if possible. 17. It takes a grounds keeper 40 minutes to prepare a softball field for a game. It takes his assistant 65 minutes to prepare the same field. How long will it take if they work together to prepare the field?
Math 085 Final Review 18. Solve the equation. 19. Find the square root. Assume that the variable represents a nonnegative number. 20. Perform the operation. Simplify, if possible. 21. Simplify if possible. Assume that represents a positive number. 22. Assume that varies directly with. If when, find when. 23. Perform the operations. 24. Graph the quadratic equation. 25. Assume that varies inversely with. If when, find when. 26. Simplify the expression. Write the answer without using parentheses or negative exponents. 27. Graph the inequality. 28. Use the most convenient method to find all real solutions. If a solution contains a radical, give the exact solution. 29. Use the square root property to solve the equation. 30. Find the product. 31. 2 5 1 Solve the inequality; write the solution in interval notation. x 9 6 3 32. Divide 4+ 3i 2+ i 33. Solve. Graph the solution. Write the answer in interval notation. 4x 1 1 < 5 3
Math 085 Final Review Answer Key 1. 17. 2. 18. no solution 3. or 1 22 19. ± 2 4. 20. 5. 6 5.2 10 21. 6. 22. 7. 23. 8. 24. See below 9. 25. 10. 26. 11. 27. See below 12. infinitely many solutions 28. 13. 29. 14. 30. 15. 31. 16. 32. 33. 24 27. 7 ± 2 7 ± 2 5 2 5 2 2 2 x -, 15, 15 11 2 + i 5 5 1, 4 2