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Questions with System of Equations (set up only)

Questions with System of Equations (set up only). Adam’s age is 4 years less than twice Blanca’s age. If Adam is 16 years old, which equation can be used to determine Blanca’s age? A 2(x – 4) = 16 B 2x – 4 = 16 C 4 – 2x = 16 D 2(4 – x) = 16. Problem #7. Obj 10 - TAKS 2004 9th [8.14(A)].

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Questions with System of Equations (set up only)

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  1. Questions with System of Equations (set up only)

  2. Adam’s age is 4 years less than twice Blanca’s age. If Adam is 16 years old, which equation can be used to determine Blanca’s age? A 2(x – 4) = 16 B 2x – 4 = 16 C 4 – 2x = 16 D 2(4 – x) = 16 Problem #7 Obj 10 - TAKS 2004 9th [8.14(A)]

  3. If r + s = t and x = y, which of the following must be true? F. r + s − x = y − t G. r + s − t = x + y H. r + s + t = x − y J. r + s + x = t + y Problem #93 Obj 10 - TAKS 2006 11th [8.16(B)]

  4. In the system of equations 4x + 2y = 10 and 3x + 7y = –18, which expression can be correctly substituted for y in the equation 3x + 7y = –18? A 10 – 2x B 10 + 2x C 5 – 2x D 5 + 2x Problem #16 Obj 10 - TAKS 2004 10th [8.14(B)]

  5. Shannon has spent $850 on gasoline and repairs for her car in the last 6 months. Of this total, she spent $300 on repairs. The gasoline she purchased cost $1.29 per gallon. Which of the following can be used to determine how many gallons of gas, g, Shannon has bought within the last 6 months? A 1.29g – 300 = 850 B 1.29g + 300 = 850 C 1.29 – 300g = 850 D 1.29 + 300g = 850 Problem #18 Obj 10 - TAKS 2004 10th [8.15(A)]

  6. For a sports banquet Coach Mackey must use the rectangular tables in the school cafeteria. The diagram below shows the seating arrangements that Coach Mackey can use at 1 and 2 tables. Which expression can be used to determine the number of people who can sit as a group if y tables are joined to form 1 long table? A 6y B 4(y + 1) C 3(y + 1) D 2(2y + 1) Problem #26 Obj 10 - TAKS 2004 11th [8.16(A)]

  7. On Monday Cornelius’s mother gave his school money for the week. He spent $2.80 for lunch every day for 5 school days. He paid a $0.75 book fine at the library and bought school supplies for $3.50. If Cornelius had $1.75 left at the end of the school week, which expression can he use to find the amount of money he received on Monday? A 1.75 + 5(2.80) + 3.50 + 0.75 B 5(2.80) + 3.50 + 0.75 – 1.75 C 1.75 + 2.80 + 0.75 + 3.50 D 5(2.80 + 3.50 + 0.75 + 1.75) Problem #35 Obj 10 - TAKS 2004 8th [8.14(C)]

  8. Which of the equations below represents the second step of the solution process? A. 5(6x + 1) + 4 = –39 B. 5(6x + 5) = –39 C. 30x + 4 + 1 = –39 D. 30x + 20 + 1 = –39 Step 1. 5(6x + 4) + 1 = –39 Step 2. Step 3. 30x + 21 = –39 Step 4. 30x = –60 Step 5. X = –2 Problem #47 Obj 10 - TAKS 2003 9th [8.14(C)]

  9. Trina was recording the calorie content of the food she ate. For lunch she had 3 ounces of chicken, 2 slices of cheese, 2 slices of wheat bread, one-half tablespoon of mayonnaise, a 16-ounce glass of lemonade, and an apple for dessert. According to the chart on the next screen, which equation best represents the total number of calories she consumed during lunch? A. B. C. D. Problem #52 Obj 10 - TAKS 2003 9th [8.14(A)]

  10. Problem #52 Obj 10 - TAKS 2003 9th [8.14(A)]

  11. Manuel has 5 more CDs than Pedro has. Bob has twice as many CDs as Manuel has. Altogether the boys have 63 CDs. Which equation can be used to find how many CDs each person has? A. 5x + 2x + x = 63 B. x + (x + 5) + 2x = 63 C. x + (x + 5) + 2(x + 5) = 63 D. x + 2(5x) + 5x = 63 Problem #61 Obj 10 - TAKS 2003 10th [8.14(C)]

  12. Which of these equations describes a relationship in which every real number x corresponds to a nonnegative real number? A. y = x B. y = x2 C. y = x3 D. y = –x Problem #69 Obj 10 - TAKS 2003 11th [8.15(A)]

  13. Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle. Conclusion: The measure of the angles are 70° and 90°. This conclusion: A is contradicted by the first statement given B is verified by the first statement given C invalidates itself because a 90° angle cannot be supplementary to another D verifies itself because 90° is 20° more than 70° Problem #20 Obj 10 - TAKS 2004 11th [8.16(B)]

  14. Jaime purchased a used car on sale for $3450. The original price of the used car was $4100. Which expression can be used to determine the percent of the original price that Jaime saved on the purchase of this car? A. B. C. D. Problem #70 Obj 10 - TAKS 2003 11th [8.15(A)]

  15. Maria has 4 more movie passes than Toni. Angela has half as many passes as Maria. The three girls have a total of 21 movies passes. Which equation can be used to find how many movie passes Toni has? A. B. C. D. Problem #71 Obj 10 - TAKS 2003 11th [8.14(A)]

  16. The price for this year’s season tickets to a city hockey team’s games was reduced by 15% from last year’s ticket price, x. As a result, there was a 22% increase in the number of season-tickets sold this year. If a total of 4000 season tickets were sold last year and each season ticket is equally priced, which expression could be used to determine the total sales from this year’s season tickets? A. 4000(1 + 0.22)(1 + 0.15)x B. 4000(1 + 0.22)(1 − 0.15)x C. 4000(1 − 0.22)(1 − 0.15)x D. 4000(1 − 0.22)(1 + 0.15)x Problem #84 Obj 10 - TAKS 2006 10th [8.14(B)]

  17. If r + s = t and x = y, which of the following must be true? F. r + s − x = y − t G. r + s − t = x + y H. r + s + t = x − y J. r + s + x = t + y Problem #93 Obj 10 - TAKS 2006 11th [8.16(B)]

  18. Jake’s square backyard covers an area of 104 square meters. How can Jake best determine the length of each side of his backyard? A Divide the area by the number of sides B Square the area C Find the square root of the area D Divide the area in half Problem #8 Obj 10 - TAKS 2004 9th [8.14(C)]

  19. A middle school band must be at the contest site by 8:00 A.M. to participate in a competition. It takes 45 minutes to load the bus with the band’s equipment, and it takes 1 hour 45 minutes to travel to the contest site. What should be the first step in determining the band’s departure time? A Add the time it takes to travel to the contest site to 8:00 A.M. B Add the time it takes to load the bus to 8:00 A.M. C Add the travel time and loading time together D Subtract the loading time from the travel time Problem #9 Obj 10 - TAKS 2004 9th [8.15(A)]

  20. Mr. Harmon is planning to sell his house and wants to paint all the rooms. A can of paint costs $12.95 plus 7.75% sales tax and covers about 476 square feet. What other information is needed to determine the number of cans of paint Mr. Harmon needs to purchase? A The number of rooms in the house B The area in square feet to be painted C The total cost of each can of paint D The name of the store where Mr. Harmon will buy the paint Problem #10 Obj 10 - TAKS 2004 10th [8.14(A)]

  21. The school drama club plans to attend a Shakespeare festival in 6 weeks. The total cost per person is $185.75. The club has $296 in its account and will divide the money equally among the 8 members who attend the festival. Troy is planning to attend the festival and has already saved $55. How much more money does Troy need in order to cover his cost to attend the festival? A $93.75 B $110.25 C $148.75 D Not here Problem #11 Obj 10 - TAKS 2004 10th [8.14(B)]

  22. How many 2-inch cubes can be placed completely inside a box that is 8 inches long, 2 inches wide, and 6 inches tall? A 8 B 12 C 24 D 48 Problem #19 Obj 10 - TAKS 2004 11th [8.14(C)]

  23. Marsha brought cookies to school. She gave a third of her cookies to Ana. Ana then gave a fourth of her cookies to Cybil. Cybil gave half of her cookies to Betsy. If Betsy has 2 cookies, how many cookies did Marsha have in the beginning? A 18 B 24 C 36 D 48 Problem #22 Obj 10 - TAKS 2004 11th [8.14(C)]

  24. Chase wanted to find 3 consecutive whole numbers that add up to 81. He wrote the equation (n – 1) + n + (n + 1) = 81. What does the variable n represent in the equation? A The least of the 3 whole numbers B The middle of the 3 whole numbers C The greatest of the 3 whole numbers D The difference between the least and greatest of the 3 whole numbers. Problem #24 Obj 10 - TAKS 2004 11th [8.15(A)]

  25. A leap year occurs when the number of a year is a multiple of 4. However, year numbers that are multiples of 100 are not leap years unless they are multiples of 400. Which is not an example of a leap year? A 2440 B 2400 C 2340 D 2300 Problem #25 Obj 10 - TAKS 2004 11th [8.16(A)]

  26. A pattern of equations is shown below. 1% of 800 = 8 2% of 400 = 8 4% of 200 = 8 8% of 100 = 8 16% of 50 = 8 Which statement best describes this pattern of equations? A When the percent is doubled and the other number is halved, the answer is 8. B When the percent is doubled and the other number is doubled, the answer is 8. C When the percent is increased by 2 and the other number remains the same, the answer is 8. D When the percent remains the same and the other number is increased by 2, the answer is 8. Problem #29 Obj 10 - TAKS 2004 8th [8.16(A)]

  27. After careful consideration of the menu shown below, Mireya purchased Charlie’s Value Meal No. 2. Mireya calculated her savings by finding the sum of $2.49 plus 2 times $1.29. What did Mireya do next to calculate her savings? A Add $1.29 to the sum B Divide the sum by 3 C Subtract $4.29 from the sum D Subtract $4.69 from the sum Problem #30 Obj 10 - TAKS 2004 8th [8.16(A)]

  28. Roderick is building a model of an actual airplane with a length of 20 feet. What other information is necessary in order to find x, the length of the model airplane? A The ratio of the length of the model airplane’s tail to the length of its wing. B The speed of the model airplane C The scale factor used D The model airplane’s wingspan Problem #31 Obj 10 - TAKS 2004 8th [8.14(B)]

  29. Mr. Thomas is framing a 28–by–40–foot area for a concrete slab. If the concrete company charges $120.00 per cubic yard of concrete, what other information is needed in order to find c, the cost of the concrete slab? A The area of the slab B The thickness of the slab C The perimeter of the slab D The price per cubic foot of concrete Problem #32 Obj 10 - TAKS 2004 8th [8.14(A)]

  30. Mrs. Avery bought a 5–pound bag of white potatoes for $4.25. If red potatoes sold for $0.89 per pound, why did Mrs. Avery believe that she made the better buy? A The number of red potatoes in a 5–pound bag is greater than the number of white potatoes in a 5–pound bag. B The cost of all kinds of potatoes in 5–pound bags is the same. C The cost per pound of white potatoes is $0.04 less than the cost per pound of red potatoes. D The cost per pound of white potatoes is $0.04 more than the cost per pound of red potatoes. Problem #33 Obj 10 - TAKS 2004 8th [8.16(B)]

  31. The Stars, the Tigers, and the Lobos scored a total of 56 goals during the hockey season. The Stars scored 4 more goals than the Tigers, and the Lobos scored twice as many goals as the Tigers. Which is a reasonable conclusion about the goals the teams scored? A The Stars scored the least number of goals. B The Stars and the Lobos scored an equal number of goals. C The Tigers scored exactly half the total goals. D The Lobos scored the greatest number of goals. Problem #37 Obj 10 - TAKS 2003 8th [8.14(b)]

  32. The figure shows a rectangle inside a circle. Which procedure should be used to find the area of the shaded region? A Find the area of the circle and then subtract the area of the rectangle. B Find the circumference of the circle and then subtract the perimeter of the rectangle. C Find the circumference of the circle and then subtract the area of the rectangle. D Find the area of the rectangle and then subtract the perimeter of the rectangle. Problem #38 Obj 10 - TAKS 2003 8th [8.14(C)]

  33. Before the last game of the basketball season, Fernando had scored a total of 73 points. He scored 20 points in the last game, making his season average 15.5 points per game. To find the total number of games he played, first find the sum of 73 and 20 and then — A add the sum to 15.5 B subtract 15.5 from 73 C multiply the sum by 15.5 D divide the sum by 15.5 Problem #39 Obj 10 - TAKS 2003 8th [8.15(A)]

  34. Antonio and his two brothers equally shared the cost of a new CD with a list price of $18. They received a 20% discount off the list price and paid 8.25% sales tax on the discounted price. Find the approximate amount that each of the 3 brothers paid toward the cost of the CD. A $4.80 B $5.20 C $6.50 D $15.59 Problem #43 Obj 10 - TAKS 2003 8th [8.14(b)]

  35. The following statements are true about ∆XYZ. • The measure of each angle is evenly divisible by 12. • The measure of < Z is greater than the measure of < Y. • The measure of < Y is greater than the measure of < X. • The measure of < X is greater than 40°. Which choice fits all 4 statements for angles X, Y, and Z? F m < X = 72° m < Y = 60° m < Z = 48° H m < X = 50° m < Y = 60° m < Z = 70° G m < X = 60° m < Y = 72° m < Z = 48° J m < X = 48° m < Y = 60° m < Z = 72° Problem #45 Obj 10 - TAKS 2003 8th [8.16(B)] TAKS 2003 8th

  36. A camp leader plans to buy 3 hot dogs per person for a cookout. If 30 people are going on the cookout and if hot dogs cost $3.99 per package, what other information is needed to find the cost of the hot dogs? A The number of meals at which hot dogs will be served B The cost of mustard and relish C The number of people who eat hot dogs D The number of hot dogs in a package Problem #46 Obj 10 - TAKS 2003 8th [8.14(A)]

  37. Alonso’s family rented a car when they flew to Orlando for a 4-day vacation. They paid $39 per day and $0.09 for each mile driven. How much did it cost to rent the car for 4 days and drive 350 miles, not including tax? A. $70.50 B. $124.50 C. $156.00 D. $187.50 Problem #48 Obj 10 - TAKS 2003 9th [8.14(B)]

  38. The function g(x) = 1.25 + 0.70(x – 1) represents the charge for parking in the mall garage for x number of hours. Which statement best represents the formula for this charge? A. The charge consists of a set fee of $1.25 plus $0.70 for every hour parked. B. The charge consists of a flat rate of $0.70 for every hour parked. C. The charge consists of $1.25 for the first hour parked and $0.70 for each additional hour. D. The charge consists of $1.25 for every hour parked plus a set fee of $0.70. Problem #49 Obj 10 - TAKS 2003 9th [8.15(A)]

  39. A newspaper reported that the mean height of waves in the Norwegian Sea increased by 4 inches per year from 1955 to 1994. What additional information is needed to calculate the mean wave height in 1994? A. The mean height of waves in 1955. B. The range of wave heights from 1955 to 1994. C. The projection of the mean height of waves for the next year. D. The distance from land to where the wave measurements were taken. Problem #50 Obj 10 - TAKS 2003 9th [8.14(A)]

  40. Which problem is best represented by the number sentence 19 + 3(12 – x) = 40? A. Ricardo spent $19, and Lydia spent 3 times $12 less than Ricardo. Together they spend $40. How much did Lydia spend? B. Gail earned $19 baby-sitting and mowed 3 lawns in less than 12 hours. She earned a total of $40. How much did she earn per lawn? C. Juan earned $19 baby-sitting and sold 3 boxes of apples for $12 each. Now he has $40. How much did he earn? D. Denise paid $19 for 1 regularly priced item and bought 3 items on sale that were regularly priced at $12. She spent $40 in all. What was the price reduction on the 3 sale items? Problem #51 Obj 10 - TAKS 2003 9th [8.15(A)]

  41. A store sells milk in two different containers. The first container is a rectangular prism that has a height of 8 inches and a square base with a side length of 2 inches. The other container is a cylinder with a radius of 1.75 inches and a height of 8 inches. Which best describes the relationship between the two containers? A. The prism has the greater volume. B. The cylinder has the greater volume. C. The volumes are equivalent. D. The volumes cannot be determined. Problem #54 Obj 10 - TAKS 2003 9th [8.15(A)]

  42. Mr. McGregor wanted to cover the floor in his living room with carpet that cost $12 per square yard. The blueprint to the right shows the area of the living room relative to the area of the house. What information must be provided in order to find the total cost of the carpet? A. The lengths and widths of the adjoining rooms in the blueprint. B. The scale of yards to inches in the blueprint. C. The total area of the house in the blueprint. D. The thickness of the carpeting in inches. Problem #55 Obj 10 - TAKS 2003 9th [8.14(A)]

  43. Rinaldo’s school sold all of the tickets to a band concert. The tickets cost $8 each. The auditorium where the concert was held had 39 rows, with 56 seats in each row. Which of the following is a correct method for Rinaldo to calculate the total amount of ticket sales? A. Rinaldo can multiply 56 by $8 and then add 39. B. Rinaldo can add 39 and 56 and then multiply by $8. C. Rinaldo can multiply 39 by 56 and then multiply by $8. D. Rinaldo can add 56 and $8 and then multiply by 39. Problem #56 Obj 10 - TAKS 2003 10th [8.15(A)]

  44. Mitch wants to use 40 feet of fencing to enclose a flower garden. Which of these shapes would use all the fencing and enclose the largest area? A. A rectangle with a length of 8 feet and a width of 12 feet. B. An isosceles right triangle with a side length of about 12 feet. C. A circle with a radius of about 5.6 feet. D. A square with a side length of 10 feet. Problem #62 Obj 10 - TAKS 2003 10th [8.14(B)]

  45. Jerry and Dan are recycling newspaper for a school project. Together they made 21 stacks of newspaper. Each stack is 4 feet tall. Dan can load a stack in 15 minutes, and Jerry can load a stack in 10 minutes. What information is NOT needed to find whether they can load all the newspaper in 2 hours if they work together? A. The time it takes to load the newspaper B. The rate at which each boy loads the newspaper C. The height of each stack of newspaper D. The number of stacks of newspaper Problem #63 Obj 10 - TAKS 2003 10th [8.14(A)]

  46. Greta and her friends are having lunch at Joe’s Diner. The total cost of their lunch, including tax, is $54.63. Greta and her friends have $65.00 altogether and want to leave a top equal to 15% of the total bill. Is $65.00 enough to cover the cost of their lunch and the 15% tip for the server? A. No, they need $0.56 more. B. No, they need $3.29 more. C. Yes, and they have $2.18 left over. D. Yes, they have the exact amount. Problem #64 Obj 10 - TAKS 2003 10th [8.14(A)]

  47. On Friday Daniel wrote a check for $158. The following Monday he deposited $60 into his bank account. On Wednesday the bank informed his that he had overdrawn his account by $8. If Daniel made no other transactions between Friday and Wednesday, what was his balance before he wrote the check on Friday? A. $90 B. $98 C. $106 D. $210 Problem #65 Obj 10 - TAKS 2003 11th [8.14(C)]

  48. Galvan’s Grocery Store sells 3 cans of soup for a total of $0.85. The total cost, c, of purchasing n cans of the soup can be fount by – A. multiplying n by c B. multiplying n by the cost of 1 can C. dividing n by c D. dividing c by the cost of 1 can Problem #66 Obj 10 - TAKS 2003 11th [8.14(A)]

  49. As a waiter in a restaurant, Steven works 6-hour shifts. He earns $5 per hour and keeps 80% of his tip money. How much tip money does he need to receive per shift to earn a total of exactly $50 before taxes are deducted? A. $16 B. $20 C. $25 D. $40 Problem #68 Obj 10 - TAKS 2003 11th [8.14(B)]

  50. Lisa has a circular piece of cardboard with a 10-inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible? A. There will be no cardboard left after the rectangle has been cut. B. A 10-inch-long rectangle cannot be cut from the circular cardboard. C. Squares cannot by cut from the circle. D. There will not be enough cardboard to cut all the 1-inch-square pieces indicated. Problem #72 Obj 10 - TAKS 2003 11th [8.16(B)]

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