Building Formulas Common Assessment (7 th grade)

Transcription

1 Name Score / 32 pts. Multiple Choice: Circle the letter choice that best completes the statement or answer the question. ( 1pt. each) 1. Which situation is best represented by the expression 2c - 5? a. Alicia walked 2 miles fewer than 5 times the number of miles, c, Courtney walked. b. Alicia walked 5 miles fewer than 2 times the number of miles, c, Courtney walked. c. Alicia walked 2 more than 5 times the number of miles, c, Courtney walked. d. Alicia walked 5 more than 2 times the number of miles, c, Courtney walked. 2. Which equation represents the word sentence below? Two less than the sum of a number and six is equal to the product of the number and three. a. 2 + x - 6 = 3x b. 6x - 2 = 3x c. 2-6x = 3x d. x = 3x 3. Which formula describes a different pattern from the rest? a. K = 4W W b. K = 6(W + 1) c. K = 6W + 6 d. K = W(5 + 1) 4. Hannah is stenciling a border on a wall. She plans to repeat pictures of a tulip, a daisy, a rose, and a lily, in that order, as shown below. tulip, daisy, rose, lily, tulip, daisy, rose, lily, The first flower Hannah stencils is a tulip. What will be the 30th flower she stencils? a. daisy b. rose c. lily d. tulip Page 1 of 5

2 Short Answer: Answer each question below and show work that supports your thinking. 5. If W = 8 + a 2 and a = 16, find the value of W. Show your work.(2 pts.) 6. Can a square patio be made using 64 square tiles? Explain why or why not. (2 points) 7. Jack and Steve both want to buy a pair of inline skates that cost $70. Jack has $30 saved in a piggy bank and adds $5 to it monthly. Steve has $40 in his piggy bank and adds $3 to it each month. a. How much money will Jack have in his piggy bank after three months? (1 pt.) b. Write a rule or formula to compute the amount of money in Steve s piggy bank at any given month. Use m to represent the month and d to represent the number of dollars in his piggy bank. (2 pts.) c. Who will reach his goal of saving $70 first? Show your work. (2 pts.) Page 2 of 5

3 8. Temperature in Mexico Kim and Dale are in Mexico on vacation. They want to know the weather in advance in order to plan their activities for the next four days. Kim looks for this information in a local newspaper. In Mexico, the temperature is measured in degrees Celsius (C). The following picture shows the forecast for Monday to Thursday. Kim and Dale are not used to reading temperatures in degrees Celsius. They use the following formula for converting temperatures from degrees Celsius (C) into degrees Fahrenheit (F). a. Which days would you advise Kim and Dale to take a hike in the mountains? Explain. (1 pt.) b. What day of the week will have the hottest temperature? (1 pt) c. What will that temperature be in degrees Fahrenheit? (2 pts.) d. What day of the week will have the coldest temperature? (1 pt) e. What will that temperature be in degrees Fahrenheit? (2 pts.) Page 3 of 5

4 9. Jennifer used her favorite stickers to make the 4 groups of patterns shown below. a. Fill in the blanks below to show how many stickers of each shape should be in Group 5. (2 pts.) clovers stars hearts b. Help Jennifer find a direct formula to describe the number of heart-shaped stickers she needs, if she knows the group number. (2 pts.) c. Jennifer thinks there is a pattern for the total number of stickers used in each group. She wrote the direct formula:. Show that her formula works. Use drawings, words, or a table to support your answer. (2 pts.) d. Rewrite Jennifer s formula, so that there are no parenthesis. (2 pts.) Page 4 of 5

5 10. Use the information below to help you answer the next two items: (a) If the radius of a circle is twice as large as another, the area is also twice as large. Is this statement true? Explain. (2 pts.) (b) If the area of a circle is four times as large as another, the radius is also twice as large. Is this statement true? Explain. (2 pts.) Page 5 of 5