Question 1 (Patterns, Functions and Algebra)

Transcription

1 Question 1 (Patterns, Functions and Algebra) When a car travels at a constant rate, distance varies directly with time. Which graph could represent the distance as a function of time?

2 Question 2 (Patterns, Functions and Algebra) A company is comparing two different postage plans for next year. The company can purchase a postage plan where the total cost, c 1, is $45,000 plus $3,000 per mailing, where n is the number of mailings. The cost, c 2, of the other plan is $0.35 for each piece, p, mailed. Which of the following is a set of equations modeling the costs of the two plans? c 1 = 45000n c 2 = 0.035p c 1 = n c 2 = p c 1 = 45000n c 2 = p c 1 = n c 2 = 0.35p

3 Question 3 (Patterns, Functions and Algebra) The number of hamburgers sold at a local restaurant varies inversely with the price that is charged. The number, n, of hamburgers sold at a price, p, in dollars can be found using the formula Approximately how many hamburgers did the restaurant sell if the price of the hamburgers was $3?

4 Question 4 (Patterns, Functions and Algebra) Kim is selling sandwiches for a school fundraiser. She made the chart below to help her with pricing. Which function represents the cost of the sandwiches? f (x) = 1.15x f (x) = 3.45x f (x) = 1.15x f (x) = x x - 9

5 Question 5 (Patterns, Functions and Algebra) At the beginning of the day, the owner of a restaurant opens a new case of take-out boxes. One case holds 500 take-out boxes. He uses an average of 35 take-out boxes each day. Based on his average usage, which expression represents the number of take-out boxes that remain d days after the new case of boxes is opened?

6 Question 6 (Patterns, Functions and Algebra) Jill charges a base rate of $25 per lawn plus $18 for each hour she mows the lawn. Which equation gives the amount of money, m, Jill earns from mowing a lawn for h hours?

7 Question 7 (Patterns, Functions and Algebra) A grocery store has a triangular pyramid of soup cans on display. Steven counts the number of cans in each of the top five layers. Each successive layer continues following the same pattern. The display has 10 layers. How many cans are in the 10th layer?

8 Question 8 (Patterns, Functions and Algebra) A band pays for the use of a location for a concert. The band charges $25 per ticket. If n represents the number of tickets sold and c represents the cost of the location, which inequality below describes how many tickets need to be sold to make a profit? 25c < n 25c > n 25n < c 25n > c

9 Question 9 (Patterns, Functions and Algebra) The graph of the function f(x) is shown below. Which of the following is NOT a zero of f(x)?

10 Question 10 (Patterns, Functions and Algebra) The table shows values for a function. Which equation represents this function?

11 Question 11 (Patterns, Functions and Algebra) Which graph represents a linear function?

12 Question 12 (Patterns, Functions and Algebra) For his business, Gil has determined that the time it takes to finish a job varies inversely with the number of workers. This can be expressed as: where T = time, k is a constant, and w = number of workers. Gil s records show that 18 workers can finish a job in 6 days. How many days will it take 12 workers to do the same job?

13 Question 13 (Patterns, Functions and Algebra) Michael paid $6.00 for a ticket to a football game. Soft drinks at the game cost $0.75. Michael bought x drinks at the game. Which equation represents the total amount (y) he spent? y = ( )x y = 6x y = x y = x

14 Question 14 (Patterns, Functions and Algebra) The owner of a sporting goods store is following a pattern to arrange baseballs into 7 rows for a wall display. The table shows the number of baseballs in the first four rows of this pattern. How many baseballs are in the seventh row of this pattern?

15 Question 15 (Patterns, Functions and Algebra) Roni and Kelsey bought the same types of flowers from a florist. Roni bought 5 roses and 2 carnations and was charged $17.85 before tax. Kelsey purchased 1 rose and 6 carnations and was charged $12.25 before tax. How much did the florist charge for 1 carnation before tax? $1.12 $1.55 $2.15 $2.80

16 Question 16 (Patterns, Functions and Algebra) A construction company buys $38,400 worth of new equipment, the value of which decreases linearly so that its value after 8 years is $2,200. By what amount is the value of the equipment decreasing per year? $ 275 $4,525 $4,800 $5,075

17 Question 17 (Patterns, Functions and Algebra) Marcy and Troy disagreed about the answer to a problem. Marcy said that the equation they were working on had more than one solution. If Marcy is correct, on which of these equations could they have been working?

18 Question 18 (Patterns, Functions and Algebra) Jackie has a job selling cars. Her monthly salary is $2,000 plus a commission of 1% of her total sales up to $100,000 and 1.5% of additional sales above $100,000. Which graph represents this relationship?.

19 . Question 19 (Patterns, Functions and Algebra) Jamie is buying peanuts and walnuts. He wants to spend exactly $30. The graph below shows all possible ways that he can split the $30 between the peanuts and the walnuts. What does the point N on the graph represent? spending all $30 on walnuts spending all $30 on peanuts spending $20 on peanuts and $10 on walnuts spending half of the $30 on peanuts and half of the $30 on walnuts

20 Question 20 (Patterns, Functions and Algebra) The first four rows of a number array are shown below. What number will be at the far right end of row 7?

21 Question 21 (Patterns, Functions and Algebra) Nancy decided to breed gerbils to sell to a pet store. She started with 2 gerbils and determined that they should quadruple in number every 4 months. Nancy sold all of the gerbils to the pet store at the end of 1 year. How many gerbils did Nancy sell to the pet store? 24 gerbils 66 gerbils 128 gerbils 512 gerbils

22 Question 22 (Patterns, Functions and Algebra) Which equation is equivalent to? (x 40)(x 60) = 0 (x 30)(x 80) = 0 (x + 20)(x 120) = 0 (x + 20)(x + 120) = 0

23 Question 23 (Patterns, Functions and Algebra) A local art museum charges admission to groups according to the following rates. Groups of fewer than 50 people are charged a rate of $4.00/person. Groups of 50 people or more are charged a reduced rate of $3.50/person. How much money will a group of 49 people save in admission costs if it can recruit one additional member? $ 0.50 $ $ $196.00

24 Question 24 (Patterns, Functions and Algebra) Jessica participated in a walk-a-thon to raise money for a local charity. She began walking at a rate of 3 miles per hour. The graph represents her distance walked as a function of time. If Jessica had walked at an average rate of 2 miles per hour, which of the following accurately illustrates how this graph would appear, using the same scale?

25 Question 25 (Patterns, Functions and Algebra) A large corporation uses a telephone chain to notify employees of company closings due to bad weather. The plant manager calls 5 people in the first round of the telephone chain. Each of those people calls 5 other people in the second round of the telephone chain. If the pattern continues, how many employees are called in the 4th round of the telephone chain?