Unit 7 Review: Coordinate Grids and Patterns

LaTasha is leaving the mountains and heading for the beach. She can only travel horizontally or vertically along the coordinate grid when traveling from one location to another. Each unit traveled along the coordinate grid is equal to 1 hour of travel time. How long will it take LaTasha to get to the beach from the mountains?

• 8 hours

• 9 hours

• 10 hours

• 12 hours

Two walkers recorded how many miles they had completed for each hour they walked. Which are the rules for how many miles per hour each walker completed?

• Walker #1: two times x

  Walker #2: two times x

• Walker #1: two times x

  Walker #2: three times x

• Walker #1: three times x

  Walker #2: two times x

• Walker #1: three times x

  Walker #2: three times x

Mrs. Long asked Liam and Penny to place a point at (5,7) on the coordinate plane.Which statements describe Liam's and Penny's work? Select all that apply. (2 answers)

• Liam is incorrect because he counted the origin as 1 when plotting each coordinate.

• Liam is correct because he counted 5 lines over on the x-axis and then 7 lines up on the y-axis.

• Penny is correct because she counted up 5 units on the y-axis and then over 7 units on the x-axis.

• Liam is incorrect because he used the xcoordinate on the y-axis and the y-coordinate on the x-axis.

• Penny is incorrect because she used the xcoordinate on the y-axis and the y-coordinate on the x-axis.

Jennings was having a pirate-themed birthday party. He planned a treasure hunt in his backyard for his friends using a coordinate plane system. Which of Jennings' friends will find the treasure? Select all that apply. (2 answers)

• Christopher plans to begin at (2, 1), visit each of the spots listed, and then stop at (9, 3) for the treasure.

• Lawrence plans to walk from (2, 1) to (4, 6), then to (6, 9), jump off the slide (7, 4), and run to the treasure at (9, 3).

• Kinley plans to walk from (1, 2) to (6, 4), skip going to the tree, run over the rock at (4, 7), and stop at (3, 9) for the treasure.

• Craig plans to walk from (1, 2) to (6, 4), then to (9, 6), stop at (4, 7), and then walk 1 unit to the left and 2 units up to find the treasure

• Frank plans to begin with everyone at the doghouse at (1, 2) but then skip the other stops and run 3 units to the right and then 9 units up to find the treasure first.

Which of the following points is located closest to the origin?

• (1, 1)

• (3, 6)

• (6, 2)

• (8, 8)

Lines representing two number patterns are plotted on a coordinate grid. Which of the following statements about the relationship between the number patterns is TRUE?

• There is no distance between the lines over time.

• The distance between the lines increases over time.

• The distance between the lines decreases over time.

• The distance between the lines remains constant over time.

Which points did Wesley plot following his rule? Select all that apply. (2 answers)

• point A

• point B

• point C

• point D

• poinkt E

Adam’s mom decides to give him two quarters each week. She gives Adam’s little brother just one quarter each week. Both boys save their quarters. Which of the following statements is TRUE?

• Adam and his brother will have the same number of quarters after two weeks.

• Adam and his brother will have the same number of quarters after four weeks.

• Adam will always have exactly one more quarter than his brother has

• Adam will always have two times as many quarters as his brother has.

The first five terms of a number pattern are shown in the table. A second pattern has the rule, “each term is one more than the corresponding term in the first pattern.” The first three terms of the second number pattern are shown in the table.

What are the fourth and fifth terms of the second number pattern?

• 6 and 7

• 6 and 8

• 7 and 8

• 7 and 9

A family of five people wanted to go to the movies. Movie A costs $2 per person and Movie B costs $4 per person.

What is the ordered pair for a family of 4 for each movie? Explain how the number patterns in the tables are different by describing the rule for Movie A and the rule for Movie B.

• Part A: $2 movie (4,8) $4 movie (4,16)

  Part B: The rule for Movie A is ×2 and the rule for Movie B is ×4 so the cost for Movie B is always double or twice the price of Movie A per person.

• Part A: $2 movie (1,2) $4 movie (3,12)

  Part B: The rule for Movie A is divide 2 and the rule for Movie B is ×3 so the cost for Movie B is always double or twice the price of Movie A per person.