Free Printable Ohio AIR Review

1.

An Expression is shown:

(2x-3) + [4x(3x+2)]

a)

$9x-1$

b)

$14x+5$

c)

$12x^2+2x-1$

d)

$12x^2+10x-3$

2.

An expression is given:

(2x+8)(5x-7)

Which answer is equivalent to the given expression?

a)

36x-56

b)

$10x^2-56$

c)

$10x^2+26x-56$

d)

$10x^2+56x+56$

3.

Which expression is equivalent to $\left(2x^2+3\right)\left(x+4\right)$

a)

$2x^3+12$

b)

$2x^2+11x+12$

c)

$2x^3+6x^2+4x+12$

d)

$2x^3+8x^2+3x+12$

4.

An expression is shown:

$\left(3x^2+2x-5\right)-\left(5x^2-4x+1\right)$

Which expression is equivalent to the given expression?

a)

$-2x^2+6x-6$

b)

$-2x^2-2x-4$

c)

$8x^2+6x-6$

d)

$8x^2-2x-4$

5.

Trent plants a sunflower that is 6 inches tall. The sunflower is expected to grow at an average rate of 1.5 inches per day during the next month.

Create an equation that Trent can use to find the number of days, x, it will take to grow to a height of 45 inches.

(a)

6.

A factory has two assembly lines, M and N, that make the same toy. On Monday only assembly line M was functioning, and it made 900 toys.

On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and Line N made 480 toys per hour. Line N made as many toys on Tuesday as Line M did over both days.

Write an equation that can be used to find the number of hours, t, that the assembly lines were functioning on Tuesday.

(a)

7.

The population of rabbits on a large island doubles each year. On January 1, the population is 150 rabbits.

Which equation can be used to find the number of years, x, it will take for the population to reach 4800?

a)

$4800\ =\ 2x\ +150$

b)

$4800=2\cdot150^x$

c)

$4800\ =\ 2^x+150$

d)

$4800=150\cdot2^x$

8.

An inequality is shown:

(x-5)(x+2) < 0

select all the numbers that belong to the solution set

a)

-3

b)

-2

c)

-1

d)

2

e)

5

9.

Stephanie adds pennies, nickels, and quarters to a scale until the mass of the combined coins is 75 grams. Each penny has a mass of 2.5 grams, each nickel is 5 grams, and the quarters are 5.7 grams.

Create an equation to model this situation where x is the number of pennies, y is the number of nickels, and z is the number of quarters Stephanie can put on the scale so the mass of the combined coins is 75 grams.

(a)

10.

A scientist is studying wildlife. She estimates the population of bats in her state to be 270,000. She predicts the population to grow at an average of 2.9 percent.

Using the scientist's prediction, create an equation that models the population of bats, y, after x years.

(a)

11.

Tim is sorting his book collection into groups. He places each group ont bookshelves that can each hold a maximum of 25 pounds. His collection includes hard cover books that weigh 3 pounds each and soft cover books that weigh 2 pounds each.

Select all possible numbers of hardcover books that could be on one shelf.

a)

3

b)

4

c)

8

d)

9

e)

12

12.

Chad buys pineapples , watermelons, and a bag of grapes for a fruit salad. He spends a total of $29.68 on the fruit salad. Pineapples cost $2.15 each, watermelons cost $3.75 each. The bag of grapes costs $4.48.

Create an equation to model the situation, where p represents the number of pineapples, and w represents the number of watermelons Chad can purchase.

(a)

13.

Kenji has at most $30 to spend on lily bulbs and tulip bulbs at his local flower store. Lily bulbs cost $4 each, and tulip bulbs cost $2 each. Tax is included in the prices of the bulbs.

Create a constraint that can be used to represent all possible numbers of lily bulbs, x, and tulip bulbs, y, Kenji can buy.

(a)

14.

The equation is used to find the force of gravity, F, between two objects, where

G is the gravitational constant

$m_{1\ }and\ m_2$ are the masses of the two objects

r is the distance between the two objects

$F\ =\ \frac{Gm_1m_2}{r^2}$

Which equation correctly shows the distance between the two objects?

a)

$r\ =\ \frac{\sqrt[]{F}}{Gm_1m_2}$

b)

$r\ =\ \frac{\sqrt[]{Gm_1m_2}}{F}$

c)

$r\ =\ \sqrt[]{\frac{F}{Gm_1m_2}}$

d)

$r\ =\ \sqrt[]{\frac{Gm_1m_2}{F}}$

15.

An equation is given:

y = 3x +c

Create an equivalent equation by solving for x in terms of y.

x = (a)

16.

An engineer is designing a conical container. It needs to hold a specific volume and have a specific height. She needs to know the radius of the container, r, in terms of its volume, V, and height, h.

Select the equation the engineer can use to determine the radius.

Volume of a cone - $V\ =\ \frac{\pi r^2h}{3}$

a)

$r=\sqrt[]{\frac{3V}{\pi h}}$

b)

$r\ =\ \sqrt[]{\frac{\pi h}{3V}}$

c)

$r\ =\ \frac{3V}{\pi h}$

d)

$r\ =\ \frac{\pi h}{3V}$

17.

Eleanor incorrectly solves the problem below. which step was the mistake?

a)

1

b)

2

c)

3

d)

4

e)

5

18.

what is the correct answer to :

$\frac{1}{2}\left(x+18\right)\ =\ 4\left(2x\ -\ 6\right)\ -\ 9x$

(a)

19.

what is the solution to $3x\ +\ \frac{4}{5}=7\ -\ 2x$

(a)

20.

what is the solution to the equation $12\left(x+5\right)\ =\ 4x$

(a)

21.

A quadratic equation with variable x is shown.

$x^2+\left(2b\ -\ 3a\right)x\ -\ 6ab\ =\ 0$

what are the solutions to this equation in terms of the constraints a and b?

a)

x = 3a

b)

x = 2a

c)

x = -2b

d)

x = -3b

e)

x = -3a

22.

an equation is shown.

$2x^2\ -\ 5x\ -\ 3\ =\ 0$

what value of x make the equation true?

a)

x = -2

b)

x = -1/2

c)

x = 3

d)

x = -3

23.

solve the equation

$x^2+6x\ =\ -\frac{11}{4}$

a)

x = -3 and x=2

b)

x = -2 and x = 3

c)

x = 1/2 and

x = -11/2

d)

x=-1/2 and x=-11/2

24.

A system of linear equations is shown.

-3x + y = K

2x + 3y = L

Which system has the same solution as the system shown?

a)

-9x + 3y = -3K

2x + 3y = L

b)

6x-2y = -2K

2x + 3y = L

c)

-3x + y = K

3x+4.5y = L

d)

-3x+y = K

-8x - 12y = L

25.

What two numbers have a sum of 217 and difference of 85?

(a)

26.

A system of equations is given.

y + 2 = 3(x-1)

y = -2x +10

what is the solution to the system?

(a)

27.

A total of 330 children and adults attended a school play. There were 21 times as many children in attendance as there were adults.

This situation is modeled by the given system of equations, where a represents the number of adults and c represents the number of children.

c = 21a

a + c = 330

How many children attended the play?

(a)

28.

A theater sells tickets for a concert. Tickets for lower level seats sell for $35 each, and tickets for upper level seats sell for each $25. The theater 350 tickets for $10250.

How many of each type of tickers were sold?

a)

Upper Tickets: 150

Lower Tickets: 200

b)

Upper Tickets: 175

Lower Tickets:

175

c)

Upper Tickets: 200

Lower Tickets: 150

d)

Upper Tickets: 125

Lower Tickets: 175

29.

A system of equations is shown.

$y\ =\ 3x\ -\ 2$

$y\ =x^2$

what are the solutions to the systems of equations?

a)

(2,4)

(1,2)

b)

(-2,4)

(1,-2)

c)

(2,-4)

(-1,2)

d)

(-2,-4)

(-1,-2)

30.

A system of Equations is shown.

$y+1=2x$

$x^2\ -\ 4x=y-4$

a)

(1,1)

(-5,9)

b)

(1,1)

(5,-9)

c)

(1,1)

(5,9)

d)

(-1,-1)

(5,9)

31.

A system of equations is given.

$y\ =x^2-9$

$y=-2x-1$

a)

(-4,7)

b)

(2,-5)

c)

(-5,2)

d)

(-4,-7)

32.

An equation is shown.

$y\ =\ \frac{1}{2}x\ +\frac{3}{4}$

select all of the points that are contained in the graph of the equation.

a)

$\left(0,\frac{1}{2}\right)$

b)

$\left(0,\frac{3}{4}\right)$

c)

$\left(\frac{3}{4},0\right)$

d)

$\left(\frac{3}{4},\frac{1}{2}\right)$

e)

$\left(\frac{1}{2},1\right)$

33.

An equation is given,

$5y\ -\ 2x\ =\ 5$

Create an ordered pair that represents one point on the graph of the equation.

(a)

34.

The points (0,1) and (1,4) are contained on the graph of an equation with only two variables.

Select all of the true statements

a)

There is exactly one equation in the form y=mx+b that contains these points.

b)

There are two equations in the form y = mx+b that contain these points

c)

there are no equations in the form $y\ =\ a\times b^x$ that contain these points

d)

There is exactly one equation in the form $y\ =\ a\times b^x$ that contains these points

e)

There is more than one equation in the form $y\ =\ a\times b^x$ that contain these points.

35.

A linear function is given

$a\left(x\right)\ =\ 26\ -\ 12.4x$

The function b is also linear.

The equation a(x) = b(x) has exactly one solution at x = 5

Create a possible equation for function b.

(a)

36.

(a)

37.

Henry places x marbles into an empty bucket. Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown.

3x + 8

What does the 8 represent?

a)

the weight of each marble

b)

the weight of the empty bucket

c)

the numbers of marbles in the bucket

d)

the total weight of the bucket of marbles

38.

Hector earns $16 per hour at his job. The amount of money, in dollars, that he earns after taxes for working h hours can be modeled by the given expression.

0.75(16h)

How much money per hour does Hector earn after taxes?

(a)

39.

Isaac deposits money into a new bank account that earns interest. He does not make any other deposits. The expression shows the total amount of money in his account in n years after the deposit.

$200\left(1+0.08\right)^n$

What does the 200 percent in this situation?

a)

the percent of interest earned annually

b)

the number of times the interest is compounded.

c)

the total amount of money in the account after n years

d)

the original amount of money deposited into the account.

40.

Juan buys peaches and grapefruit at the store. He writes that equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

$p+g\ =2.5$

$1.58p+1.09g=3.46$

What is the total number of pounds of peaches and grapefruit that Juan buys?

(a)

41.

Samantha sells two types of wristbands, rope or beaded. She charges more for beaded wristbands than for rope wristbands. The amount of money, in dollars, that she collects from selling x wristbands of one type and y wristbands of the other type can be modeled by the expression 5x+8y

What does the variable y represent in this situation?

a)

the number of rope wristbands sold

b)

the number of beaded wristbands sold

c)

the selling price of one rope wristband

d)

the selling price of one beaded wristband

42.

Select all expressions that are equivalent to $9x^4-y^2$

a)

$\left(\left(3x^2-y\right)^2\right)$

b)

$\left(3x^2\right)^2-\left(y\right)^2$

c)

$9\left(x^2\right)^2-\left(y\right)^2$

d)

$\left(9x^2\right)^2\ -\ \left(y\right)^2$

e)

$\left(3x^2+y\right)\left(3x^2-y\right)$

43.

Which correctly factored form of the function $f\left(x\right)\ =\ 36x^2+15x\ -\ 6$

can be used to identify the zeros.

a)

$f\left(x\right)=\left(4x-1\right)\left(3x+2\right)$

b)

$f\left(x\right)\ =\ \left(12x-2\right)\left(3x+3\right)$

c)

$f\left(x\right)=3\left(4x-1\right)\left(3x+2\right)$

d)

$f\left(x\right)\ =\ 3\left(12x-2\right)\left(3x+3\right)$

44.

A function $f\left(x\right)\ =x^2+bx-20\$ has zeros at x=r and x=z, where r and z are integers.

What is one possible value of b and what are possible values for the zeros of the function, r and z?

(a)

45.

A function is shown.

$f\left(x\right)\ =\ 5\left(x-2\right)^2+3$

What is the minimum value

(a)

46.

The first five terms of a sequence are shown.

4, 12, 36, 108, 324, ...

write explicit function to model the value of the nth term in the sequence such that f(1) = 4

(a)

47.

The first four terms of the arithmetic sequence are given.

27, 32, 37, 42, ...

what is the 60th term of the sequence?

(a)

48.

(a)

49.

Function f(x) undergoes a single transformation to create function g(x). The graphs of both f(x) and g(x) are shown.

Write g(x) in terms of f(x)

(a)

50.

The graph $f\left(x\right)\ =\ x^2$ is transformed to create the graph of $g\left(x\right)\ =\ f\left(x\right)+3$ . Which coordinate plane shows the graph of g(x)?

a)

b)

c)

d)

51.

The f(x) is shown. Which of the given graphs shows the function f(x) - 2

a)

b)

c)

d)

52.

write your answers in the blanks provided

53.

Draw your answers in the blanks provided

54.

A function is shown.

$f\left(x\right)=\frac{2}{3}x+3$

What is the value of f(12)

(a)

55.

The values of several terms in a sequence are shown in a table.

What is the value of the first term?

(a)

56.

A sequence is shown.

3, 6, 12, 24, 48, ...

Which function, f(n), represents the nth term of the sequence, where f(1) = 3?

a)

$f\left(n\right)\ =\ 2\cdot3^{\left(n-1\right)}$

b)

$f\left(n\right)\ =\ 3\cdot2^{\left(n-1\right)}$

c)

$f\left(n\right)=3\cdot2^n$

d)

$f\left(n\right)\ =6^n$

57.

Two freight trains are traveling to Columbus, Ohio. A graph is shown representing each train's remaining distance to Columbus over time.

A. Compare the distances relative to Columbus from which the trains begin their trip

B. Tom Claims both trains travelled the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.

4 lines

58.

A grasshopper jumps off of a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.

$h\left(t\right)\ =\ -t^2+\frac{4}{3}x+\frac{1}{4}$

After how many seconds will the grasshopper land on the ground?

(a)

59.

The manager of a company uses the function shown to model its daily profit based on the price of a product in dollars, x.

$f\left(x\right)\ =\ \left(x-22\right)\left(53-x\right)$

A: what is the minimum price, in dollars, to avoid a loss?

B: What is the maximum price, in dollars, to avoid a loss?

C: What is the price, in dollars, that results in the greatest profit?

(a)

60.

a radioactive substance decays exponentially. The initial amount of the substance is 3 grams, and over time, t, the amount, S(t), in grams, approaches 0.

Which graph could be a model for f(t)?

a)

b)

c)

d)

61.

Several features of the Quadratic Function is shown

- y has a minimum value of 3

-y intercept is (0,5)

- has no e intercepts

a)

b)

c)

d)

e)

62.

Which graph represents a function whose domain is the set of all non negative real numbers?

a)

b)

c)

d)

63.

What is the domain of the function shown.

a)

$x\ge-4$

b)

$x\ge-2$

c)

$x\ge0$

d)

$x\ge1$

64.

Leza sells cupcakes at her store. The profit, in dollars, that Leza makes selling cupcakes is modeled by the function $p\left(x\right)\ =\ 3.75x\ -\ 962.50$ .

What is the domain of the function when Leza makes a profit of at least 950?

a)

all integers greater than or equal to 510

b)

all integers greater than or equal to 257

c)

all integers greater than or equal to 0 and less than 510

d)

all integers greater than or equal to 0 and less than 2601

65.

The length of the curve of a satellite dish can be modeled by the function f(d), where d is the horizontal distance, in inches, from the left edge of the satellite dish shown.

What is the domain of the function?

a)

all real numbers from 0 to 18

b)

all real numbers greater than 0

c)

all real numbers from 0 to 5.05

d)

all real numbers from 5.05 to 18

66.

A function is given

$f\left(x\right)\ =\ \left(2x-2\right)\left(x-3\right)$ Draw the zeros, maximum, and minimum value of the function.

67.

A function is shown.

$f\left(x\right)\ =\ x^2+2x-3$ Draw the x-intercepts, maximum, and minimum of the function.

68.

A function is shown

$f\left(x\right)\ =\ x^2+2x-1$

a)

b)

c)

d)

69.

A nature center tracks the deer population in a small section of the forest preserve. The number of deer over the years is modeled by the graph shown.

how many deer were in this section of the forest preserve when the nature center began tracking the population?

(a)

70.

A scientist studies the population of an insect colony. She begins her study with 10,000 insects in the colony and measures the population of the colony each year. She uses the given formula to model the insect population, P, t years since the beginning of the study.

$p=10,000\left(1.08\right)^t$

By what percent does the insect population grow each year?

(a)

71.

Which function is equivalent to $f\left(x\right)\ =\ \left(x+3\right)\left(x-9\right)$

a)

$f\left(x\right)\ =\ \left(x+3\right)^2-9$

b)

$f\left(x\right)\ =\left(x+3\right)^2-18$

c)

$f\left(x\right)\ =\ \left(x-3\right)^2-27$

d)

$f\left(x\right)\ =\ \left(x-3\right)^2-36$

72.

The graph of a quadratic function f(x) intersects the x-axis at -3 and 5.

What is a possible equation of f(x)?

(a)

73.

Two functions with different vertices are shown.

$g\left(x\right)\ =\ -x^2+6x\ +2$

how many times larger is the y value of the higher vertex than the y value of the lower vertex?

(a)

74.

The graph of a function f(x) is shown.

Which function has a greater maximum value than f(x).

a)

$g\left(x\right)=-\left(x-1\right)^2+5$

b)

$g\left(x\right)\ =\ -\left(x-5\right)^2+1$

c)

$g\left(x\right)\ =\ -\ \left(x+6\right)^2-3$

d)

$g\left(x\right)\ =\ -\left(x+3\right)^2-6$

75.

Some values for a function are shown in the table.

Which statement best describes the function?

a)

it is linear because f(x) increases by a constant amount compared to x.

b)

it is linear because f(x) increases by a constant percentage compared to x

c)

it is not linear because f(x) does not increase by a constant amount compared to x

d)

it is not linear because f(x) does not increase by a constant percentage compared to x.

76.

Which situation describes a quantity that increases by a constant percent rate?

a)

the size of one photo is 15% larger than the size of another photo

b)

the number of plants in a pond is 85% of the number from the previous year.

c)

the population of one city is 85% greater than the population of another city

d)

the number of magazine subscribers each year is 15% greater than the previous year.

77.

The population of snails in a tank at the aquarium is found to triple every year. Mark visits the aquarium and counts 80 snails in the tank.

Write a function f(n) to model the number of snails in the tank n years after marks visit.

(a)

78.

A landscaper puts 5 fish into a new pond. The number of fish doubles each month over a period of time.

Write a function f(x) to model the number of fish in the pond after x months.

(a)

79.

Emerson has $120. Each week, he saves an additional $15.

Write a function f(x) that models the total amount of money Emerson has after x weeks.

(a)

80.

Two functions, f and g, are given.

$f\left(x\right)\ =x^2$

$g\left(x\right)\ =\ 2^x$

Which statement is true about the outputs of the two functions?

a)

g(x) > f(x) for all values of x

b)

f(x) > g(x) for all values of x

c)

f(x) > g(x)for all values of x >2

d)

g(x) > f(x) for all values of x >4

81.

A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.

f(x) = 30x+25

what does the 30 represent in this situation?

a)

the initial membership fee

b)

the monthly membership fee

c)

the number of months that a person is a member

d)

the total amount that a member pays in monthly fees

82.

a shipping company charges a cost per pound plus a fixed fee to ship a package. The total cost, f(x), in dollars, of shipping x pounds is modeled by the function shown.

f(x) =4.99x+5.75

Which part of the function represents the fixed fee?

a)

x

b)

4.99

c)

5.75

d)

4.99x

83.

To start her collection of comic books, Joylin's uncle gives Joylin a box of comic books and several monthly subscriptions to comic books. The number of comic books in her collection, y, after x months is modeled by the equation shown.

y=40+6x

what does the number 40 represent?

a)

the price of the comic book subscription

b)

the number of months of Joylin's subscriptions

c)

the number of comic books in the box she received

d)

the number of title subscriptions Joylin recieved each month

84.

A health club charges new members a one time start up fee in addition to a monthly fee. The cost, in dollars, of the membership for x months is modeled by the function

f(x) = 80+30x

What does the 80 represent in the function?

a)

the start up fee

b)

the monthly fee

c)

the rate of change in the monthly fee

d)

the total amount charged each month

85.

Francine creates a bar graph showing the distance her city and each state capital city in the United State.

Which unit of measure would be an appropriate unit for Francine to use label her graph?

a)

centimeters

b)

inches

c)

meters

d)

miles

86.

The ideal gas law is represented by the equation PV = nRT. The variables and their units are defined as

P - for pressure in Pascals (Pa)

V - for volume in meters cubed ( $m^3$ )

n - for the number of moles (mol)

R - for the gas constant (?), and

T for temperature in degrees Kelvin(K)

In terms of the units for the defined variables, what are the units for R, the gas constant?

a)

$\frac{\left(Pa\cdot m^{3\ }\right)}{mol\ \cdot\ K}$

b)

$\frac{\left(mol\cdot K\right)}{Pa\cdot m^3}$

c)

$Pa\cdot m^3$

d)

$Pa\cdot m^3\cdot mol\cdot K$

87.

Michelle holds a small rock in her hand.

Density (D) can be found using the formula $D=\frac{mass}{volume}$

Which unit would be the most appropriate for calculating the density of the rock in Michelle's hand?

a)

$\frac{lb}{mm^3}$

b)

$\frac{g}{cm^3}$

c)

$\frac{kg}{m^3}$

d)

$\frac{ton}{m^3}$

88.

Which statistical measure changes when every number in a data set is increased by 10?

a)

range

b)

mean

c)

standard deviation

d)

inner quartile range

89.

Four different companies compile the ages of their employees.

Which company has the greatest range of ages in the middle 50% of the population?

a)

b)

c)

d)

90.

The histograms shown display the number of cans of food donated by the students in the freshman and sophomore class at school.

Which statement is true?

a)

the freshman class has a lesser mean number of cans donated than the sophomore class.

b)

the freshman class has the same median number of cans donated as the sophomore class

c)

the freshman class has a greater mean number of cans donated than the sophomore class.

d)

the freshman class has a greater median number of cans donated than the sophomore class

91.

An analyst researches the relationship between different energy sources in each state for 2014. The data in the table show the number of states that use the coal and nuclear power as an energy source.

Given that a state does not use nuclear power, what percentage of those states use coal?

(a)

92.

Casey asks a random sample of students at his high school about their natural hair and eye colors. The results of his survey are shown in the relative frequency table.

In the sample, there are 4 more students with brown hair and blue eyes than blond hair and blue eyes.

How many students have black hair?

(a)

93.

Which scatterplot represents that data that would best be modeled by a quadratic function?

a)

b)

c)

d)

94.

A new car wash business records the number of cars it washes each day for the first 7 days the business is open. The data are shown in the table.

The car wash owner uses the equation $y\ =\ x+44$ to model the data, where x represents the number of days the business has been open and y represents the number of cars washed.

Which explanation BEST describes whether the equation is a good fit for the data?

a)

the equation is a good fit because the residual points are approximately linear.

b)

the equation is a good fit because the residual points have a positive association

c)

The equation is not a good fit because a residual plot with the pattern from this data set indicates a bad fit

d)

the equation is not a good fit because there should be an equal number of points below and above the x axis in the residual plot.

95.

Ms. Musto opened a new coffee shop. She recorded the number of customers she served between opening and noon for the first 20 days of business. her results are shown in the graph.

Which line best fits the data?

a)

$y=3x+10$

b)

$y=2x+20$

c)

$y=3x+30$

d)

$y=x+20$

96.

Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, x, and the monthly rent for each house, y, are shown in the scatter plot. Juan models the data with a linear equation.

Based on the scatter pl0t, what could the number 1275 represent in his equation?

a)

the estimated rent for a house in the center of the city

b)

the estimated minimum rent for a house far from the center of the city

c)

the estimated change in rent for each additional mile from the center of the city

d)

the estimated change in distance from the center of the city for each dollar change in rent

97.

The population of a town has grown by an average of 2000 people per year over the last 10 years.

Which equation could represent an appropriate linear model of the population?

a)

$y=25,000x+2,000$

b)

$y=2,000x+25,000$

c)

$y=-25,000x+2000$

d)

$y=-2,000x+25,000$

98.

Bryson collects data on the depth of a river at various points and the velocity of the river at those points. His data have a correlation coefficient of -0.9382

a)

b)

c)

d)

99.

Select all of the correlation coefficients that represent a linear model with weak correlation.

a)

-0.982

b)

-0.618

c)

-0.103

d)

0.204

e)

0.907

100.

A linear model is used to display the scores of baseball team's games using the batting averages of its top players. The correlation coefficient for the linear model is 0.37.

Which statement about the linear model is true?

a)

the correlation coefficient represents a strong, positive linear relationship

b)

the correlation coefficient represents a strong negative linear relationship

c)

the correlation coefficient represents a weak, positive linear relationship

d)

the correlation coefficient represents a weak, negative linear relationship

101.

answer the question by drawing the correct numbers in the boxes

102.

Draw an X in the correct boxes

103.

Complete the question by drawing the graphs correctly

104.

Draw an X in the correct boxes

105.

draw an X in each correct answer box

106.

Write the correct numbers in each box

107.

Draw an X in the correct boxes

108.

Write your answers in the blanks

109.

A table with population data , rounded to the nearest thousand, for Ohio in 2010 and 2014 is shown.

An Ohio state official claims that the population P, will grow exponentially with respect to time, t, in years after 2010.

Based on the claim of the state official and the data in the table, which equation provides the best estimate of the population of Ohio in the year 2020?

a)

$P=11,536,000\left(1.0013\right)^{10}$

b)

$P=11,536,000\left(1.0203\right)^{10}$

c)

$P=11,536,000\left(1.0013\right)^{10}$

d)

$P=11,536,000\left(1.0203\right)^6$

110.

Write the correct answers in or next to each empty box using the word bank.

Ohio AIR Review - Algebra 1

Total questions: 110

Worksheet time: 18hrs 20mins

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