Topic 1 Coordinate Geometr Name Test Date
Topic 1 Vocabular Cards coordinate grid coordinate grid A grid that makes it eas to locate points on a plane b using an ordered pair of numbers. x-axis Fold here x-axis The horizontal axis in a graph or coordinate grid. -axis -axis The vertical axis in a graph or coordinate grid. Topic 1 1 of 3
origin origin The point at which the x-axis and the -axis of a coordinate plane intersect. The origin is represented b the ordered pair (0, 0). ordered pair ordered pair Fold here A pair of numbers used to locate a point on a coordinate grid. x-coordinate x-coordinate The first number in an ordered pair which names the distance from the origin along the x-axis. Topic 1 of 3
-coordinate -coordinate The second number in an ordered pair which names the distance from the origin along the -axis. Fold here Topic 1 3 of 3
1. An office worker made 10 telephone calls on Monda. He made 3 calls before lunch. Which decimal tells the fraction of the calls he made before lunch? A 3.10 B 0.10 C 0.3 D 1.3. Which of the following is the standard form of 10? A 10 B 100 C 1,000 D 10,000 3. Ms. Jones drove,700 miles in 9 weeks for her job. If she drove the same distance each week, how man miles did she drive in one week? Dail Common Core Review 1-1. Eight friends used 0 tickets for rides at the amusement park. If each person used the same number of tickets, how man tickets did each person use?. Nan has stickers to put in 1 bags. She wants to put the same number of stickers in each bag and have the least number of stickers left over. a How man stickers should Nan put in each bag? b Will Nan have an stickers left over? If so, how man? Explain how ou decided. A 3,000 miles B 300 miles C 30 miles D 3 miles D 1 1
Ordered Pairs Name the point that is located b each ordered pair. 1. (9, 3). (1, 0) 3. (7, ). (, 7) Write the ordered pair for each point.. D. C 7. E. L 11 10 9 7 3 1 0 L A H I B Practice 1-1 D C G 1 3 7 9 10 x K J F E Plot and label each point on the grid to the right. 9. M(3, ) 10. Z(, ) 11. T(0, 9) 1. X(, ) 13. P(3, 0) 1. A(, ) 1. H(7, 7) 1. B(, 9) 17. J(3, 7) 1. L(1, ) 9 7 3 1 0 1 3 7 9 x 19. Which is the ordered pair for a point that is 7 units to the right of zero along the x-axis and units above it? A (, 7) C (1, 7) B (7, ) D (1, ) 0. Wh are (, ) and (, ) not at the same point on a grid? P 1 1
Quick Check 1-1 Use the coordinate grid to answer Questions 1 through 3. 1. What is the ordered pair that names Point D? A (, 3) B (, ) C (1, ) D (3, 1) 3 1 0 H B D A E F C G 1 3 x. Imagine a post office is at Point B and a grocer store is at Point D. Each unit is a cit block. Which of the following explains how to get from the post office to the grocer store? A Move 1 block east and blocks south. B Move blocks east and 3 blocks south. C Move 1 block east and blocks south. D Move blocks east and 1 block south. 3. Writing to Explain Explain how to locate the coordinates for Point G on the coordinate grid. Q 1 1
1. Which number is NOT a factor of 3? A 3 B C 1 D. Which expression has the same value as 10 3? A 10 + 10 + 10 B 10 10 10 C 10 3 D 10 3 3. Carla has 00 oranges to pack into crates. If each crate holds the same number of oranges, how man oranges are in each crate? A B 30 C 3 7 3 1 Henr Sal Dail Common Core Review 1- For and, use the coordinate grid. Max 0 1 3 7 x. Lisa s house is units right of Henr s house. Write the ordered pair for Lisa s house. Graph and label Lisa s house on the grid.. Josh s house has the same -coordinate as Sal s house, and the same x-coordinate as Max s house. Write the ordered pair for Josh s house. Explain how ou decided. D 0. Sandra bus shirts. Each shirt costs $17. Which is the best operation for finding the total cost for all of the shirts? A Subtraction B Division C Multiplication D Substitution D 1
Patterns and Graphing In 1 and create a data table from the points plotted on the graph. 1.. 1 1 10 1 1 10 Practice 1-0 10 1 1 x 0 10 1 1 x 3. Janice is 7 ears older than Tam. Complete the table, and then graph this situation. Tam Janice x (ears) (ears) 9. There are cupcakes in ever package. Complete the table, and then graph this situation.. Tickets to the River Dell Middle School concert cost $ apiece. Complete the table, and then graph this situation. x (number of packages) (number of cupcakes) 1 3 x (tickets sold) (mone received) 1 $ 3. A graph includes the ordered pair (, ). Write two different rules that would be possible for this graph. Explain how ou found our answer. P 1
1. What is the missing value in the table? Quick Check 1-. What is the value of when x =? x 1 A 1 B 1 C 0 D A 7 B C 9 D x 1 7 1 3 1 3 7 9 3. Writing to Explain A go-cart travels miles an hour. Let x = the number of hours. Let = the total number of miles. Make a table to show three x- and -values that satisf the rule. Graph the data. Explain our graph. x Distance Traveled (mi) 0 1 1 0 1 3 x Time (h) Q 1
1. What point on this coordinate grid is named b the ordered pair (, 3)? 7 3 1 A C D B 0 1 3 7 A A B B C C D D x Dail Common Core Review 1-3. There are 7 bones in each of our hands and bones in each of our feet. How man bones are there in our hands and feet in all?. Six friends each received fruit snacks. Write an equation to find the total number of fruit snacks, s. Then solve to find s. Explain how ou got our answer. Equation: s =. Which is NOT equivalent to 1? A 1 B 1 C 0.0 D 0 100 3. Which is a rule for? x 1 1 A is x divided b 3 B is x plus C is x plus D is 3 times x D 1 3
More Patterns and Graphing For 1 and, graph the corresponding coordinates of 1 and. Describe the relationship between the two sequences. Practice 1-3 1. Da 1 1 1 7 3 9 3 11 7 13 1 10 0 10 1. Week 1 1 3 1 3 1 10 0 10 1 1 1 1 1 3. Dean is on a hike. The graph shows how far awa he is from a camp site. How far awa is he after hours? A miles C 1 miles B 10 miles D 0 miles. Ian gets $9 for each hour he works and $10 for each da he works. To find out how much he makes in a da, he made the equation = 9x + 10x, where x is the number of hours he works. Explain wh Ian s equation will not tell him how much he makes in a da. Distance (miles) 1 1 1 1 10 0 x Time (hours) P 1 3
1. Which ordered pair is a solution for the set of data? A (, 3) B (, ) C (, ) D (, 11) x 1 7 3 9 13 Quick Check 1-3. Which two ordered pairs would be on the graph for the coordinates listed in the table? x A (, ) and (1, 19) 10 B (, 1) and (3, 19) 11 9 1 C (, 9) and (7, 31) 13 9 D (, ) and (, 10) 1 7 3. Writing to Explain Complete the tables below. Use the -values from each of the tables to create a new set of coordinate data. Graph the data on a coordinate plane and explain the relationship between the 1 and values. x 1 1 3 9 1 x 1 7 13 1 0 1 10 0 10 1 0 1 Q 1 3
Use the coordinate grid to answer Questions 1 and. 7 3 1 W X Z 0 1 3 7 1. Name the ordered pair for Point Z. A (3, ) B (, 3) C (, ) D (, ). Which point is located at (, )? A Point W B Point X C Point Y D None of the above Y x Dail Common Core Review 1-3. Sheree has 0 coins. Of them, 0 are quarters. What fraction of Sheree s coins are quarters? A 1 B 1 C 1 D 1 0. Ned s Pet Store has 1 fish in tanks. There is an equal number of fish in each tank. How man fish are there in each tank?. Erin s favorite number is 0. Jen s favorite number is 303. Ian s favorite number is the sum of Erin s and Jen s. Ronald s favorite number is the sum of Ian s and Erin s. What is Ronald s favorite number? Explain how ou found our answer. D 1
Graphing Number Patterns Mark and John keep track of the number of laps the walk around the track each da for a -da period. Mark s rule is Add and John s rule is Add. Practice 1- Da 0 Da 1 Da Da 3 Da Mark 0 John 0 1 1. Use Mark s rule to find the missing value in his row of the table for Da.. Use John s rule to find the missing value in his row of the table for Da 3. 3. Complete the table to write ordered pairs showing the number of laps Mark and John walked after each da.. Plot the ordered pairs and the line that represent the data. John s Laps 0 1 1 1 1 10 0 1 3 7 x Mark s Laps Mark s Laps (x) John s Laps () 0 0. Writing to Explain Write a statement that compares the number of laps Mark and John walked each da.. Look for a Pattern If Mark and John continue to walk the same number of laps each da, how man laps will John have walked when Mark has walked 10 laps? How man laps will Mark have walked when John has walked 3 laps? P 1
Quick Check 1- For 1 through 3, use the information and the table below. Andrea and Sue keep track of the number of packages of stickers that the bu each da. Andrea s s rule is Add 3 and Sue s rule is Add. Da 0 Da 1 Da Da 3 Da Andrea 0 3 9 Sue 0 1 1 1. What is the missing value in Andrea s row of the table for Da? A 10 B 11 C 1 D 1. What is the missing value in Sue s row of the table for Da? A 7 B C 1 D 19 3. Writing to Explain Look at the sticker data above. a. Write the ordered pairs showing the number of packages of stickers Andrea and Sue bought each da. b. Graph the ordered pairs. c. Write a statement that compares the number of packages Andrea and Sue bought. x Q 1
1. Which rule describes the relationship between x and? x 0 3 10 Dail Common Core Review 1-. Complete the table of values for the following rule. is less than x. 3 11 13 x A x is 3 more than. B x is 3 less than. C x is increasing b 3. D is increasing b 3.. Jean-Claude earns $.00 an hour working at an ice cream store. Each da he bus one pint of ice cream for $. Which numerical expression shows the amount of mone he takes home after working hours and then buing the pint of ice cream? A 3 1 B 3 1 C 3 ( ) D 3 1. Create a table of values for the following rule. is more than x. x 3. is 1 less than times x. Which ordered pair fits this rule? A (1, 1) B (1, ) C (1, 3) D (1, ) D 1
Problem Solving: Work Backward Work backward to find each starting position. 1. Starting ( x, ). units (1, 0) units (1, ) units (9, ) Ending. Starting ( x, ). units (, ) 3 units (, ) 1 unit (, 7) Ending 3. Starting ( x, ). units (, 13) units (9, 13) units (1, 13) Ending. Martha must finish her math quiz in 3 minutes. She knows that there are 10 multiple-choice questions and word problems. If each word problem takes her exactl 3 minutes to complete, how much time can she spend on each multiple-choice question? Practice 1-. Kori arrived at school on time, at exactl :30 a.m. If it took him 1 minutes to walk to school, 10 minutes to eat breakfast, and 1 minutes to get read, what time did he wake up this morning? A 7:37 a.m. B 7:7 a.m. C 7:7 a.m. D :07 a.m.. Jerr used his $100 gift certificate to go shopping. He bought pants for $, a shirt for $1, and socks for $3. Then he bought a pair of shoes. Jerr still has $7 left. How much were the shoes that he bought? Explain how ou know. P 1
Quick Check 1- Work backward to solve. 1. What is the starting position ( x, )? Starting ( x, ) units (, ) units (, ) units (, ) Ending A (10, ) B (, ) C (, ) D (, ). Ldia kept track of the number of ards she swam in 3 das. On the first da, she swam a certain number of ards. On the second da, she swam 1,70 ards. On the third da, she swam,000 ards. If she swam a total of,00 ards, how man ards did she swim on the first da? A,0 d B,000 d C 1,70 d D 1,0 d 3. Writing to Explain Todd walked to the post office from his house. If the post office has the position (, 9) on a map and he walked the following directions and distances, at what point on the map is Todd s house? Explain how ou solved the problem. Todd s House ( x, ) units (, ) units (, ) units (, 9) Post Office Q 1