4.23

by James Dougherty

| 15 QuestionsNote from the author:

Ohio Algebra I AIR test practice

1

2

3

4

5

6

1

1 pt

2

1 pt

3

1 pt

4

1 pt

5

1 pt

6

1 pt

7

1 pt

(This question references the graph above)

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 plot, what could

the number 1275 represent in his

equation?

The estimated rent for a house in

the center of the city

The estimated change in rent for

each additional mile from the

center of the city

The estimated change in distance

from the center of the city for each

dollar change in rent

The estimated minimum rent for a

house far from the center of the

city

8

1 pt

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

Create g(x) in terms of f(x).

9

1 pt

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

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

10

1 pt

What is the factored form equation of f(x) = x²+2x-3?

11

1 pt

Graph f(x) = x²+2x-3 in the Desmos window provided. In line 2 and 3, graph the x-intercepts as an ordered pair (x,y) and in line 4 graph the maximium or minimum as an ordered pair.

12

1 pt

Fred solved the equation 8(3x - 7) = -6(x + 7) + 4 as shown.

Fred made an error between Step 1 and Step 2

A. Explain the error that Fred made.

B . What is the solution to the original equation?

Type your answers in the space provided.

13

1 pt

A system of equations is shown.

y=3x-2

y=x²

What are the solutions to the system of equations (use the lines in Desmos after you graph the system to put your answers as ordered pairs (x,y)?

14

1 pt

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 on the graph.

Which line best fits the data?

y=3x+10

y=2x+20

y=3x+30

y=x+20

15

1 pt

A linear model shows that the relationship between the number of grocery items purchased and the total cost of the grocery bill has a correlation coefficient of 0.97

Which statement about the variables is true?

Purchasing more items causes a higher cost of the grocery bill.

If a grocery bill has a higher cost, then more items must have been purchased

There is no relationship between the number of items purchased and the total cost of the grocery bill.

There is a strong relationship between the number of items purchased and the total cost of the grocery bill.

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