Name: Date: Grade 7 Moving Straight Ahead Common Assessment _______/40 Standard 6.EE.4 1. Multiple Choice Which of the following expressions is not equivalent to the others? Explain. (2 pts) a. 6(x – 1) + 5 b. 6x - 1 c. 6(1 – x) + 5 d. 5 + 6x – 6 Standard 8.EE.7 2. Solve each equation for x. Show the full checking process. Show your work. (6 pts) a. 3x + 8 = 35 b. 12 + 5x = 7x + 3 c. 3(x + 1) = 12 Standard 8.F.4 3. Does the table below represent a linear relationship? If so, write an equation for that relationship. If not, explain why not. (2 pts) X 0 3 7 9 10 4. Use the graph at the right. (2 pts) a. Find the slope of the line. b. Find the equation of the line. DistancYe (m) 11 17 25 29 31 Standard 8.F.4 Continued 5. Match a table (A-D) with a graph (E-H) and an equation (J-M). List your results below in four groups, where each group contains one table, one graph, and one equation that all represent the same linear relationship. (8pts) Group 1: Group 2: Group 3: Group 4: Table: ___A_______ Table: ____B______ Table: ____C______ Table: ____D______ Graph: __________ Graph: __________ Graph: __________ Graph: __________ Equation: __________ Equation: __________ Equation: __________ Equation: __________ A. B. C. D. x -2 -1 0 1 2 y -5 -3 -1 1 3 x -2 -1 0 1 2 y 3 2 1 0 -1 x -2 -1 0 1 2 y 1.5 1.5 1.5 1.5 1.5 x -2 -1 0 1 2 E. F. G. H. J. y = 1.5 K. y = 2x – 1 L. y = 2x + 1 M. y = -x + 1 y -3 -1 1 3 5 Standard 8.F.4 Continued 6. To encourage new customers, a new movie theater is offering different ways to pay for a movie. ● Members: $75 a year plus $2 per movie ● Nonmembers: $5.75 to see a movie a. Make one table that shows the number of movies n and the cost for members 𝐶1 . Make another table that shows the number of movies n and the cost for nonmembers 𝐶2 . For both tables, include values of n from 0 to 50 movies, in increments of 10. (4 pts) b. On the same set of axes, graph the relationship between cost and number of movies for members and nonmembers. (Don’t forget to use an appropriate scale and give axis labels and a title) (3 pts) Standard 8.F.4 Continued c. Write equations that you can use, to calculate the cost for members 𝑪𝟏 and nonmembers 𝑪𝟐 for any number of movies n. (2 pts) Equation for members: _________________________ Equation for non-members: ___________________________ d. What is the slope of each of the lines in part (c)? (2 pts) Slope of the equation for members: ___________________________ Slope of the equation for non-members: ___________________________ e. What information does the slope of each line represent about the membership and non-membership cost? (2 pts) f. Explain how you could find the slope from a table, a graph, and an equation: (3 pts) Table: Graph: Equation: g. What information does the y-intercept of each line represent about the membership and non-membership costs? (2 pts) h. For what number of movies will the cost be the same for both members and nonmembers? Explain how you found your answer. (2 pts)