7 th Pre-AP REVIEW for TEST1 1 st Six Weeks

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1 Name: Period: Date: 7 th Pre-AP REVIEW for TEST1 1 st Six Weeks Linear Functions 1. Complete the table of values for the equation and graph the line of the equation on the coordinate plane. Is it proportional or non-proportional? y = 3x Stacy starts a savings account with $15. Each month she deposits $10 more into her account. Stacy now has saved $75. Which equation can be used to determine how many months, m, Stacy has deposited money into her savings account? A 10m 15 = 75 B 15m 10 = 75 C 10m + 15 = 75 D 15m + 10 = The table below shows Jeffrey s bank account balance for the past six weeks. Part A Using information from the table, write an equation that represents the balance, b, in Jeffrey s bank account for any number of weeks, w. 2. Rashid wrote the sentence below. Forty-eight is equal to four plus the product of a certain number, x, and eleven. Write Rashid s sentence as an algebraic equation. Equation: Part B Draw a graph that shows the relationship between Jeffrey s bank account, b, and the number of weeks, w. 3. The table below shows the number of chaperones, x, needed for a certain number of students, y, at a school dance. x y School Dance Write an equation that represents the relationship between the number of chaperones needed and the number of students attending a dance. Equation How many chaperones will be needed for a dance that has 240 students? Answer chaperones Part C Use your equation from part A or the information in the table or graph to find what Jeffrey bank account balance will be in Week 8. Answer $

2 6. Frank wants to go bowling. The bowling alley charges $4 per game and a one-time charge of $3 for bowling shoes. Look at the information in the box below. Based on the information, which of these is a true statement? A. The total cost will increase by $4 for every game B. The total cost will increase by $3 for every game C. The total cost will increase by $4 for every 3 games D. The total cost will increase by $3 for every 4 games 9. The pairs of numbers shown below show a linear pattern. Number of Term n Term Which of these could represent the nth term of the pattern? A 2n + 5 B n 6 C 5n 3 D 5n The table below shows a relationship between x and y. Write an equation that would show the relationship between x and y. Equation: 7. In the space below, describe a situation that could be represented by the graph shown. 11. Which verbal expression is the same as + 6 A two more than half of six B six more than half of a number C the sum of a number and two plus six D six more than the product of a number and two Explain the reason the graph does not pass through the origin in the situation you describe. 12. Complete the table below with the missing values for y. 8. Tickets for a talent show were on sale for six days. The chart below shows the number of tickets sold each day for the first five days. On the line below, write a rule that can be used to determine how many tickets were sold on any day. On the line below, write a function rule that shows the relationship between x and y in the table. Rule: If the pattern of the ticket sales continued, how many tickets were sold on the sixth day? Answer: tickets

3 13. Kendra is stacking boxes of tissues for a store display. Each minute, she stacks another layer of boxes. If the pattern continues, how many boxes will be displayed after 45 minutes? Evaluate: (-3 2 ) ( ) + 4(2 + 3) 3 1 minute 2 minutes 3 minutes Minutes Boxes (-4) Simplify ( ) Rule: Boxes after 45 minutes: Proportional or Non-proportional: Order of Operations, Including Integers 14. Which of the following expressions is equivalent to 21. Simplify [ ( )][ ( )] ( ) 22. Find the step where Justin made an error. Show the correct answer. (-3 + 6) = Step 1 = Step 2 = 5 9 Step 3 = 45 Step Add parenthesis to the equation below in order to make it true = Joe wanted to go fishing. He went to the store and purchased the following items Equation Situations 23. Mira is going on a vacation with Jessie and Sam. Each person will pay an equal share for the cost of a rental car (r), hotel (h), and food (f). Which of the following equations can Mira use to calculate the amount each person must pay, P? a. Write a mathematical expression to show how to calculate the total bill before tax. b. Use a calculator find the value of your expression.

4 24. A phone company charges 25 cents for each call plus 5 cents per minute. Which number sentence shows the relationship between the number of minutes (t) and the price (c), in cents? A. c = 25t + 25 B. c = 8t + 40 C. c = t D. c = 5t + 25 Phone Calls Price (c) Minutes (t ) (in cents) Prove the pattern below represents a linear relationship by writing the rule. Rule: Is it a proportional or non-proportional relationship? 27. What equation is represented on the model below? On July 25, 1910, a record low of -15 C was recorded in Montana. The lowest Montana temperature ever recorded was -56 C on January 20, Find the difference between these two temperatures. 29. A submarine was at a periscope depth of 16 meters. From there, the captain took the submarine down 74 meters to a new cruising depth. What was the cruising depth for this submarine? 30. Write an equation for the model below, and solve for x by modeling. 26. Solve the equation modeled by the diagram. Check your solution. X= 31. One summer, Brittany had a paper route and a babysitting job. She made twice as much money babysitting as she did delivering papers. Altogether she made $800 that summer. Which equation can you use to find how much Brittany earned delivering papers? Equation Inverse Operation Simplify A 2p = 800 B p + 2p = 800 C p + 2 = 800 D p + (p + 2) = 800 Inverse Operation Solution

5 32. Pablo has a cellphone. The relationship between his total monthly cost, C, in dollars, and the number of minutes he uses the phone, t, is represented by the equation C = t. Which of the following is not true about this relationship? A The cost per minute is $0.25. B The value of the rate of change is C The total monthly cost for 1 minute is $20. D The graph of the relationship has a C-intercept of Brad wants to make a sandbox in the shape of a rectangle. He plans to cut a 16-foot-long piece of wood into four pieces and use each piece to make a side of the sandbox. Length (l) Width (w) Perimeter a. Complete the chart, listing at least four possible pairs of dimensions (length and width) for the sides of the sandbox. 33. A scuba diver dove 4 m under the water and then went down another 8 m. What was the diver s final depth under the water? = +1 =-1 Model Using Counters: 34. Ray spent $5 on bus fares to visit his aunt. During the visit, she gave Ray $12 for doing some yard work. How much money did Ray gain from the visit? b. Using the pairs in your chart from part a, graph the points on a coordinate plane. Label the axes of your graph as l and w. c. What is the relationship between the length and width of the sandbox? 35. Draw a model of (+3) ( 7). Challenge Section 36. x 3y when x = 2 and y = 4 2 xy (-2) 3-2(-6 2 ) 38. Susan is going to the post office to mail six items. For each item, the post office charges 33 for the first ounce of mail and 23 for each additional ounce. 40. A multiple-choice test with 50 questions has five possible choices for each question. There are 4 points for each correct answer, -1 points for each incorrect answer, and 0 points for each unanswered question. a) What is the net score of a student with 35 correct answers, 10 incorrect answers, and 5 unanswered questions? b) JUST TRY: Express the student s score as a percent. Ounces Cost a. Complete the table showing how much it would cost Susan to mail each of her six items if the first item weighs one ounce, the second item weighs two ounces, the third item weighs three ounces, and so on up to the sixth item which weighs six ounces. 41. The length of a square s side is 10 cm. This square s perimeter is 7 cm more than the perimeter of an equilateral triangle. a) Let s represent the length of one side of the triangle. What equation models this situation? b) Solve the equation to find the length of the triangle s sides. Check your answer. b. Write an expression that shows the cost of mailing an item that weighs n ounces. c. How much would it cost Susan to mail an item that weighs 25 ounces?

6 TEKS (MR) TEST #1 ITEMS Description 7.2E Order of Operations using integers and exponents Review Question 14, 15, 16, 17, 18, 19, 37, 36, 21, 22, 23 Test Question 3, 18,19, C Model integer operations 34, 33, C Compare and Order, +, -, x, / integers 14, 28, 29, 40 21,22,23, 11, C Connect Integer Models to algorithms 27 14, A Translate a visual model into mathematical symbols including integers A Create a visual model to solve an algebraic equation and record the steps algebraically. Include 1 and 2 step equations. 26 4, B Problem Situations 2, 6, 7, 11, 32 6, 8, A Compare proportional and non-proportional relationships (conversions, perimeter, circumference) 39, A Given data in one form generate another form such as table, graph, picture, words. Predict, find, and justify solutions to application problems using tables, graphs, and algebraic equations 4, 10 10, 13 3, 5, 23, 31 1,2, 9 8.4D 8.7D Generate a different representation for linear data given in a table, graph, equation, or verbal description (Include proportional & non-proportional) 1, 8, 9, 12, 24, 38, 25 7, 12