13. 3x y = 3 2x 3y = 2

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1 This assignment must be completed and turned in on the first day of school. Please bring it to class on the first day. Students who do not complete the summer assignment will not be permitted to take Honors Algebra 2. There will be a quiz on this material during the first two weeks of school. Honors Algebra 2 students are expected to earn an 80% or higher on this quiz. Show all work for each question on notebook paper which should be submitted with this assignment. Simplify. Solve each equation t = b = Ian has $6000. He wants to buy a car within $1500 of this amount. Define a variable, write an inequality, and find the range of car prices. Write your answer in sentence form please. Solve each equation. Check the solutions. 8. (3n + 2)(n 2) = 0 Use the graph at the right to determine whether each system has no solution, one solution, or infinitely many solutions x y = 3 2x 3y = x + y = 3 y = x Nature s Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound? 16. Find the x-intercept of 3x y = 7. Name the property used in each equation. 17. ( 6 + n ) + x = x + ( 6 + n ) Use the data that shows age and percent of budget spent on entertainment in the table to answer the following questions. 9. 8n = 12n 10. 8n + 11 = 4 + 5(2n 1) 18. Make a scatter plot relating the age to the percent of the person s budget spent on entertainment. Factor each polynomial, if possible. If the polynomial cannot be factored, write prime a a y 2 31y + 15 Powered by Cognero Page 1

2 19. Write the slope-intercept form of the equation for a line of fit for the data. Use your equation to predict the percent of a 65 year old person s budget. Factor each polynomial. 20. t 2 11t Write an equation in slope-intercept form for the line that passes through (5, 4) and (6, 1). Find each product. 22. (4x 2 + 2y 2 )(2x 2 y 2 ) Solve each inequality. Then graph the solution set x 1 Determine the best method to solve each system of equations. Then solve the system x 15y = 20 5x 4y = y = 3x + 1 x 2y = 8 Solve each equation t = t (z 2) 11z = 7(z + 2) Graph the equation x + 4y 3 = Simplify. 31. Brent has $3.35 in quarters and dimes. If he has 23 coins in all, find the number of quarters and dimes. 32. A store has all board games on sale for 25% off the regular price. A checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the clearance price of the checker set? Simplify each expression. If not possible, write simplified (5a + 4an) + 9na 34. In 1995, 57.5% of students at Gardiner University graduated in 4 or fewer years of study. In 2009, that number had fallen to 52.8%. What was the rate of change for percent of students graduating within 4 years from 1995 to 2009? 35. Evaluate 3t n if t = 3 and n = Each day David drives to work in the morning, returns home for lunch, drives back to work, and then goes to a gym to exercise before he returns home for the evening. Draw a reasonable graph to show the distance David is from his home for a twoday period. Evaluate each expression Find the slope of the line passing through each pair of points. If the slope is undefined, write undefined. 38. (4, 1) and ( 4, 1) Evaluate each product or quotient. Express the results in both scientific notation and standard form. 39. ( )( ) Solve each equation. Then graph the solution set t + 4 = 2 Powered by Cognero Page 2

3 40. Graph y = x. 49. The sum of two numbers is 16 and their difference is 20. What are the two numbers? Solve the system of inequalities by graphing. 50. y < x + 1 Write an algebraic expression for each verbal expression decreased by twice some number Use the graph that shows the average daily circulation of the Evening Telegraph. y 2x y x + 3 y > x Write a verbal expression for. 42. Identify the independent and dependent variables. Solve each inequality y Evaluate each expression if w = 4, n = 8, v = 5, and t = w 2 + n(v 2 t) 54. One number is 5 times another number. The product of the two numbers is 245. Find the two numbers. 55. Graph z < Evaluate Simplify. Assume that no denominator is equal to zero. Find each sum or difference. 56. (11m 2 2mt + 8t 2 ) + (8m 2 + 4mt 2t 2 ) 57. Write an equation in standard form for the line that has an undefined slope and passes through (5, 3). Powered by Cognero Page 3

4 58. Use cross products to determine whether the pair of ratios and form a proportion. Write yes or no. 59. Write the slope-intercept form of the equation of the line perpendicular to the graph of 4x y = 12 that passes through (8, 2). Determine whether each equation is a linear equation. Write yes or no. If so, write the equation in standard form = Use the table below that shows the amount of gasoline a car consumes for different distances driven. 65. How many gallons will the car consume after driving for 140 miles? 66. Graph the line with y-intercept 2 and slope. Use the graph. 67. Translate the following sentence into an equation. A number n added to 18 is seven times the difference of n and three. 61. Interpret the end behavior of the function. Use elimination to solve each system of equations x + 3y = 19 2x 3y = 1 Solve each compound inequality. Then graph the solution set n or 3n + 1 < Graph y > x x + 2y = 6 3x 2y = GARDENING The length of a rectangular garden is 8 feet longer than its width. The garden is surrounded by a sidewalk. The sidewalk is 4 feet wide and has an area of 320 square feet. Find the dimensions of the garden. Powered by Cognero Page 4

5 70. Graph 3 = 2y Simplify 2(x + 3y 2z). 72. Write the slope-intercept form of an equation for the line graphed below. 73. Solve. 74. Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? 75. Square the binomial. Powered by Cognero Page 5