EOC Review (Item Release 18/19 #1-8)

The graph of f(x) is shown.

Which statement about f(x) is true?

• The zero of f(x) is -6

• The zero of f(x) is 2

• The zeros of f(x) are -1 and 1

• The zeros of f(x) are -6 and 6

A polynomial function contains the factors x, x − 3, and x + 1.

Which graphs could represent the polynomial function?

Select all that apply.

• 
• 
• 
• 
• 

While shopping, Sofia finds a dress she likes at a discounted price. The price on

the tag before the discount is p dollars. She must pay sales tax on the discounted

price of the dress. Sofia calculates that she must pay p − 0.1p + 0.05(0.9p) to buy

the dress.

What does 0.9p represent?

• the total amount that Sofia must pay to buy the dress

• the price of the dress after the discount, but before adding sales tax

• the price of the dress after adding sales tax, but before taking the discount

• the amount of sales tax owed

Which expression is equivalent to (16x² − 9)?

• (4x-3)²

• (8x-9/2)²

• (4x+3)(4x-3)

• (8x-9)(2x+1)

Which expressions are equivalent to the expression 4x⁴ − 16?

Select all that apply.

• 4(x⁴-4)

• 4(x²-2)²

• (2x²)²-(2²)²

• 4(x²+2)(x²-2)

• (2x²+4)(2x²-4)

What are the zeros of the function defined by the expression x² − 7x − 30?

• 3 and -10

• 10 and -3

• 15 and 2

• 15 and -2

The spray of a fountain has a height, in feet, that can be modeled by the

polynomial expression −x² + 14x − 33.

Which statement about the height of the spray is true?

• The expression

  −(x − 7)² + 16 reveals a maximum height of 7 feet.

• The expression

  −(x − 7)² + 16 reveals a maximum height of 16 feet.

• The expression

  −(x − 7)² - 16 reveals a maximum height of 7 feet.

• The expression

  −(x − 7)² - 16 reveals a maximum height of 16 feet.

Javier has a part-time job and saves $10 of his hourly pay for the purchase of a

new laptop that costs $648. He has $80 saved already.

Which inequality represents the number of hours, x, Javier must work to buy the

laptop?

• 10x+80 > 648

• 10x+80 < 648

• 10+80x > 648

• 10+80x < 648