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​ALGEBRA 1 STATE TEST PRACTICE

Which function is correct?

1/26/2025

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The first four terms of a sequence are given.

7, 11, 15, 19, .....

The pattern of the sequence continues in the same manner.  Jontae creates a function, f, to calculate the xth
term of the sequence where f(1) = 7.  Which function did Jontae create?
A.)  f(x) = 4x
B.)  f(x) = x + 4
C.)  f(x) = 4x + 3
D.)  f(x) = 3(x + 1)

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Based on the model, what is f(14) in thousands of dollars?

11/22/2023

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A company uses the given quadratic function to model its profits, in thousands of dollars, where x is the number of years since 2006.

​f(x) = -18x² + 202.61x + 1282.46

​Based on the model, what is f(14) in thousands of dollars?

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What is one solution to the equation 40 = x² - 3x ?

11/22/2023

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Solve the equation 40 = x² - 3x​

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What does the -375 represent?

8/15/2023

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A descending hot air balloon moves downward at a steady rate. The altitude, in feet, of the hot air balloon x minutes after it begins the descent can be modeled by the given expression:

-375x + 1500

What does the -375 in the expression represent in this context?

A.) the rate of descent of the hot air balloon
B.) the altitude of the hot air balloon after x minutes
C.) the total descent of the hot air balloon after x minutes
D.) the altitude of the hot air balloon before it begins descending

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Create an equation that can be used to find the height

8/14/2023

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A company makes rectangular tablet screens.  The company’s new model will have the following properties:  
  • ​The screen height will be x centimeters and the width will be (x - 5) centimeters
  • The area of the screen will be 150 square centimeters

Create an equation that can be used to find the height, x, in centimeters, of the new model’s screen.

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Solve:  x² + 9 = 6x

11/19/2021

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An equation is given.

x² + 9 = 6x

What is one solution to the equation?

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Create an equation that models the total amount

11/19/2021

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Madison bought b pounds of bananas and p pounds of pears and spent a total of $10.38.  The price of
​bananas is $0.60 per pound.  The price of pears is $1.74 per pound.

Create an equation that models the total amount of money that Madison spends on fruit.

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Compare the algebraic expressions

5/11/2021

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Sam ran a distance represented by the expression 2x + 12.  Lee ran a distance represented by the expression 6x + 36.  Which describes how the distance that Lee ran compares to the distance that Sam ran?
A.)  The distance that Lee ran is 2 times the distance that Sam ran
B.)  The distance that Lee ran is 3 times the distance that Sam ran
C.)  The distance that Lee ran is 4 times the distance that Sam ran
D.)  The distance that Lee ran is 6 times the distance that Sam ran

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Which expression represents the area of the rectangle

5/10/2021

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A concert hall is in the shape of a rectangle. Its floor has a length of (x + 6) meters and a width of (2x - 3) meters.  Which of the following simplified expressions represents the area of the floor?
A.) 2x² + 9x - 18
B.) 2x² + 15x - 18
C.) x² + 5x - 18
​D.) x² + 9x + 18

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Cost of renting a sailboat

5/7/2021

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The total cost (c) in dollars of renting a sailboat for n days is given by the equation
                              c = 120 + 60n
If the total cost was $360, for how many days was the sailboat rented?

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