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​ALGEBRA 1 STATE TEST PRACTICE

Select the number of hardcover books that can be on the bookshelf

2/24/2021

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

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

A.) 3
B.) 4
C.) 8
D.) 9
​E.) 12

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Finding x-intercepts and maximum or minimum of a quadratic function

2/22/2021

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A function is shown:
f(x) = x² + 2x - 3
​Show the x-intercepts and maximum or minimum of the function.

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Understanding functions

2/18/2021

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The cost to manufacture x pairs of sunglasses can be represented by a function C(x).  If it costs $398 to manufacture 4 pairs of sunglasses, which of the following is true?
A.)  C(4) = 99.50
B.)  C(398) = 4
C.)  C(4) = 398
D.)  C(99.50) = 1

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Quadratic expression for ball thrown into the air

2/17/2021

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A ball was thrown upward into the air.  The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t² + 40t + 3.  What is the meaning of the 3 in the expression?  Select the correct answer.

A.)  The ball takes 3 seconds to reach its maximum height.
B.)  The ball takes 3 seconds to reach the ground.
C.)  The ball was thrown from a height of 3 feet.
D.)  The ball reaches a maximum height of 3 feet.

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Volume of a rectangular prism using algebraic expressions

2/16/2021

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The diagram represents a right rectangular prism with dimensions labeled as algebraic expressions.
Picture
Which of these expressions represents the volume of the prism? Select all that apply.
A.) 7x
B.) 4x² - 25
C.) 12x³ - 75x
D.) 3x(4x² - 25)
E.) (2x + 5)(6x² - 25x)
F.) 12x³ + 60x² + 75x
G.) 12x³ - 30x² + 10x - 25

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Simplify the expression

2/8/2021

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Which expression is equivalent to (2r² + r - 1) - (3r² + 4r - 5) ?
A.)  -r² - 3r + 4
B.)  -r² + 5r - 6
C.)  5r² - 3r + 4
D.)  5r² + 5r - 6

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Maximum Value of a Quadratic Function

2/8/2021

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The graph of a function is shown.
Picture
What is the maximum value of the function?

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