Name ______

8 Math Accelerated Midterm Review

  1. Ava’s grandfather gave her a gift of $500 when she was born. Each year on her birthday, Ava received $200 more per year from her grandfather.

Year / 0 / 1 / 2 / 3 / 4 / 5 / 6
Total
Amount / 500

a.Make a table showing the amount of the gift Ava has received from her grandfather each year.

b.Which of the following scatter plots could be a plot of the data for the first few years? Support your reasoning.

c.Write a recursive formula that could be used to calculate the amount of money Ava has been given after n years.

d.Write an explicit formula to represent the amount of money Ava has been given after n years.

  1. What is the amount given to Avain the 11th year?
  1. Ava wants to have $4,000 in order to buy a car. How old, to the nearest year, will she be when her gift that year is enough to buy the car?
  1. Given this graph of the function f(x):

a. f(–4) = b. f(0) = c. f(3) =d. f(-5)

e. x when f(x) = 2f. x when f(x) = 0

  1. Find an equation of a linear function given and .
  1. The cost to manufacture x pairs of sunglasses can be represented by the function . Choose the best answer from each box below to make the statement true.

If , then pairs of sunglasses cost $

  1. The figure shows a graph of the function in the xy-coordinate plane.

A second function g is defined by.

Choose the best answers from each box below that make the statement true.

Part A

Part B

  1. Jerome is constructing a table of values that satisfies the definition of a function.

Input / -13 / 20 / 0 / -4 / 11 / -1 / 17
Output / -15 / -11 / -9 / -2 / -1 / 5 / 5 / 13

Which number(s) can be placed in the empty cell so that the table of values satisfies the definition of a function?

Select all that apply.

1

A. -5

 B.-1

 C.0

 D.2

 E.11

 F.17

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  1. A local theater sells admission tickets for $9.00 on Thursday nights. At capacity, the theater holds 100 customers. The function represents the amount of money the theater takes in on Thursday nights, where n is the number of customers. What is the domain of in this context?

 A. all whole numbers

 B. all non-negative rational numbers

 C. all non-negative integers that are multiples of 9

 D. all non-negative integers less than or equal to 100

  1. The ordered pairs are points on the graph of a linear equation. Which of the following graphs show all of the ordered pairs in the solution set of this linear equation?

  1. The function represents the radius of a circle for a given area x. A graph of the function is shown in the figure.

According to the graph, what is the approximate

average rate of change in the radius of the circle

as the area increases from 3 square feet to 7 square

feet?

 A. 0.125 foot per square foot

 B. 0.25 foot per square foot

 C. 0.5 foot per square foot

 D. 8 feet per square foot

10.The population of a city in 2005 was 36,000. By 2010, the city’s population had grown to 43,800 people. Assume the population of the city has grown linearly since 2005 and that it will continue to grow this way. What will be the population in 2015.

Enter your answer in the box.

11. The slope and the y-intercept of the line with the rule are

 A. The slope is 9 and the y-intercept is .

 B. The slope is and the y-intercept is .

 C. The slope is and the y-intercept is .

 D. The slope is and the y-intercept is

12.The students in a high school environmental club are trying to raise community awareness of a recycling program for old cell phones. Jamie, a member of the club, created a website that members of the community can view to get more information about the program. The number of times that the website is viewed each day is recorded as a hit. On day 1, the website received 2 hits, and on day 3 the website received 8 hits.

Part A

Based on the data from days 1 and 3, Jamie claims that the number of hits, h, on day, d, can be modeled by the exponential function . What is the number of hits predicted on day 6 by using this model?

Enter your answer in the box.

Part B

Paul is also a member of the environmental club. He claims that the number of hits each day can be modeled by a linear function. Determine which linear function Paul wrote and use it to select the answer in the boxes that make the statement true.

On day 2, the number of hits predicted by a

linear model is than the number of hits predicted by the

exponential model. On day 4, the number of predicted hits by a linear model

is the number of hits predicted by the exponential model.

13.The function is graphed as shown.

Part A

For each interval in the table, indicate whether the function is increasing or decreasing over the interval.

Interval / Increasing / Decreasing
x < 0
0 < x < 2
2 < x < 4
x > 4

Part B

Over which interval are the following statements true? Select all that apply.

A. A.

 B. B.

 C. C.

 D. D.

14.An investor deposited $5,000 in an account that earns 1% annual interest. The amount of money in the account is represented by the function, where x represents the number of years since the account was opened.

What is the average rate of change of the function between?

Select the answer in each box that makes the statement true.

The average rate of change is .

15.Paul started to train for a marathon. The table shows the number of miles Paul ran during each of the first three weeks after he began training.

Week / 1 / 2 / 3
Distance (miles) / 10 / 12 / 14.4

If this pattern continues, which of the listed statements could model the number of miles Paul runs, , in terms of the number of weeks, n, after he began training.

A.

 B.

 C.

 D.

 E.

16.The graph models the height h above the ground, in feet, at time, t seconds of a person swinging on a swing. Each point indicated on the graph represents the height of the person above the ground at the end of each one-second interval.

Over each interval, the average rate of change in the

height, in feet per second, of the person on the swing

can be calculated.

Order the intervals from least to greatest,

based on the corresponding rate of change.

0 to 1 second

2 to 3 seconds

7 to 8 seconds

17. The graph represents the temperature, in degrees Fahrenheit (0F), of tea for the first 120 minutes

after it was poured into a cup.

Part A

Based on the graph, what was the

temperature of the tea when it was

first poured into the cup?

 A.

 B.

 C.

 D.

Part B

Based on the graph, as the number of minutes

increased, what temperature did the tea approach?

 A.

 B.

 C.

 D.

18.Consider the function. Use your graphing calculator.

Part A

What is the y-intercept of the graph of the function in the coordinate plane?

Enter the answer in the box.

Part B

For what values of x is ? Graph the solution on a number line.

Part C

What is the end behavior of the graph of the function?

 A. As ,

 B. As ,

 C. As ,

 D. As ,

19. Write the equation of the line in point-slope form passing through the points and .

 A.

 B.

 C.

 D.

20. Which of the following is an example of a linear function?

 A.

 B.

 C.

 D.

21.Taylor took a monthly plan from a mobile company that offered her 400 minutes free calling for $39.99 per month plus $0.25 per minute for any extra call. Write a rule that shows how the total monthly bill is related to the number of calls. C = Cost of the bill m = minutes used.

 A.

 B.

 C.

 D.

22.Which equation would give the graph pictured at the right? (a is a positive constant)

 A.

 B.

 C.

 D.

23.Which of the following is a coordinate that would be on the line?

A.

 B.

 C.

 D.

 E.

 F.

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