Name

Grade Seven Math Assessment

Variables and Patterns

1. (PFA 1, 5)This table shows the fees charged for roller blading at a roller rink.

Number of minutes (m) / 30 / 60 / 90 / 120 / 150
Cost (c) / $3.50 / $6.50 / $9.50 / $12.50 / $15.50
  1. Make a coordinate graph of these data.
  1. Which rule describes the relationship between the cost (c) and the number of minutes (m)?
  1. c = 11 m + 0.2
  2. c = .10m + 0.5
  3. c = 15 m - 1
  4. c = .15m + 1

2. (PFA 5, 8, 2)Sidney, Liz, and Malcolm thought it would be a good idea to get a souvenir T-shirt for each customer who went on the Ocean and History Bike Tour. Latisha found a company who would sell them shirts with their logo for $6.95.

  1. Make a table and a graph that show number of shirts and cost.

Table

  1. Would it make sense to connect the points on your graph with a line? Why or why not?
  1. Write a rule using symbols to determine the T-shirt cost for any number of customers.
  1. If Sid, Liz and Malcolm spent $83.40 on T-shirts, how many T-shirts did they buy?

3. (PFA 1, DAP 4, 2) Mary and Juanita made the following graphs.

Did Mary and Juanita graph the same data set? Explain your reasoning.

4. (PFA 2)0, 4, 12, 28…

What is the next term in the sequence? Explain in words how you determined your answer.

5. (NSO 4)Evaluate 10 – 2 x 3

  1. 24
  2. 16
  3. 4
  4. -4

6. (NSO 4)36  4 x 3

  1. 12
  2. 27
  3. 29
  4. 3

7. (PFA 8)Use symbols to express the following as an equation: The number of cookies needed for the picnic is three for each student.

  1. c = S + 3
  2. c = 3
  3. c = 3S
  4. c = 3 (S + P)

8. (PFA 8)Use symbols to express the following as an equation: My parents give me $20 allowance plus $5.00 every time I mow the lawn.

  1. A = 20 + 5
  2. A = 20 + 5 X
  3. A = (20 + 5) X
  4. A = 20 + (X + 5)

9. (PFA 7) Which of the following is equivalent to 6a?

  1. a
  2. 6 + 6 + 6 +a
  3. a + a + a + a + a + a
  4. 6 + 6 + 6 + a + a + a

10. ( PFA 7) Another way to write 4n + 3 is listed below. Select the correct answer.

  1. 4 + n + 3
  2. 4 – n + 3
  3. 4 x n + 3
  4. 4 ÷ n + 3

11. (DAP 4) Lisa and Mike had a jumping jack contest. They plotted their results and compared. Because his points were higher, Mike said he did more jumping jacks than Lisa in the 120 seconds. Do you agree? Why or why not?

Lisa’s resultsMike’s results

12. (PFA 10)The relationship between x and y is y = 3 x -2. How does the value of y change when x increases from 0 to 3?

  1. y increases by 3
  2. y increase by 6
  3. y decreases by 9
  4. y decreases by 11

13. (PFA 3)Which pattern below is a linear progression?

  1. 5, 7, 9, 11 …
  2. 5, 6, 7, 18, …
  3. 5, 6, 8, 10…
  4. 7, 9, 11, 12, 15…

14. (PFA 5)Nikia is driving at an average speed of 40 miles per hour. If the vertical axis represents the distance in miles and the horizontal axis represents the time in hours, which of the following graphs represents the relationship between the number of hours Nikia drives and the distance she travels?

15. (PFA 9)The Morales family is going to the movies. The movie tickets costs $7.50 for adults (a) and $3.75 for children (c). Which expression can be used to find the total cost (t) for the Morales family to go to the movies?

  1. t = $7.50 (a + c) + $3.75
  2. t = (a x c) ($7.50 + $3.75)
  3. t = ($7.50 x $3.75) (a + c)
  4. t = ($7.50 x a) + ($3.75 x c)

11/6/06