Summative Assessment

1.   State whether each of the graphs below represent a situation with a constant or varying rate of change.

      a.   _____________________                                           b.   _____________________

 

      c.   _____________________                                           d.   _____________________

2.   Chris gets a $5 allowance each week, which he always adds to his savings account. Would the weekly addition to his savings represent a constant or varying rate of change? Explain how you know.

3.   Sara collects trading cards. Over the last five weeks, she added 10, 0, 6, 5, and 10 cards to her collection. Do these weekly additions to her collection represent a constant or varying rate of change? Explain how you know.

4.   A car travels at 40 mph, then stops at a red light. When the light turns green, the car accelerates back up to 40 mph. Explain whether these changes in speed represent a constant or varying rate of change. How do you know?

5.   The Smith family is going to see a movie. Each ticket will cost $8. However, the family will get a $2 discount on the total cost of the tickets. Write an expression that represents the total cost of tickets for the Smith family. Use m to represent the number of members in this family.  Find the cost for a family of five.

6.   Circle the equation below that is NOT an example of the associative property.

a.   1.5 + (0.5 + 3) = (1.5 + 0.5) + 3

      b.   5 – (2 + 1) = (5 – 2) + 1

      c.   (3 ´ 2) ´ 5 = 3 ´ (2 ´ 5)

7.   Circle the equation below that is an example of the distributive property.

a.   k + 17.3 = 17.3 + k

      b.   n + (25.5 + 12) = (n + 25.5) + 12

      c.   3(x + 4.5) = 3x + 13.5

      d.   3(x + 4.5) = (x + 4.5)3

8.   Which of the following expressions is equal to 2x + 3? Circle your answer(s).

a.   3x + 2

      b.   3 + 2x

      c.   2x – 3

      d.   5x

9.   Which of the following expressions is equal to 4(x + 5)? Circle your answer(s).

      a.   4x + 5

      b.   9x

      c.   4x + 20

      d.   20x

10.  Which of the following expressions is equal to (x + 3) + 7? Circle your answer.

      a.   x + 10

      b.   3x + 7

      c.   10x

      d.   x + (3 + 7)

      What property is illustrated by the selected expression(s)?

11.  Which of the following expressions is NOT equivalent to 4(5y)? Circle your answer.

      a.   (4 ? 5)y

      b.   20y

      c.   45y                                                                                                                                                                                                                     

      d.   4(y ? 5)

12.  Austin was asked to write an equation on the board that illustrated the associative property. He wrote the following equation: (y + 6) + 12 =
y + (6 + 12)

      Was Austin’s equation correct? ______________

      In the box below, explain why or why not.

13. Ginny wrote the following equation to illustrate the distributive property: 4(a + b) = 4a + b

      Is her answer correct or incorrect? ______________

      In the box below, explain why.

14.  The student council plans to build a flower box with several sections in front of the school cafeteria. Each section will consist of squares made with railroad ties of equal length. Due to money constraints, the box will be built in several phases. Below is the plan for the first three phases. (Each side of the square represents one tile.)

      a.   Create a table to show how many ties will be needed for each of the first six phases.

      b.   In the box below, using the information from your table, explain how you know whether the pattern represents a linear or nonlinear function.

15.  Identify the nonlinear graph below, and explain why it is a nonlinear graph.