Algebra Unit 3 EOC Review

1) Which expression is equivalent to 121x² - 64y²?

• A. (11x – 16y)(11x + 16y)
• B. (11x – 16y)(11x – 16y)
• C. (11x + 8y)(11x + 8y)
• D. (11x + 8y)(11x – 8y)

2) Which expression is a factor of 24x² + 16x + 144?

• A. 16
• B. 8x
• C. 3x² + 2x + 18
• D. 8(x – 2)(3x²+ 9)

3) Which of these shows the complete factorization of 6x²y² – 9xy – 42?

• A. 3(2xy²– 7)(xy²+ 2)
• B. (3xy + 6)(2xy – 7)
• C. 3(2xy – 7)(xy + 2)
• D. (3xy²+ 6)(2xy²– 7)

4) The expression –x² + 70x – 600 represents a company’s profit for selling x items. For which number(s) of items sold is the company’s profit equal to $0?

• A. 0 items
• B. 35 items
• C. 10 items and 60 items
• D. 20 items and 30 items

5) The formula for the area of a circle is A = πr². Which equation shows the formula in terms of r?

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6) What are the solutions to the equation 6x² – x – 40 = 0?

• A. x = –8/3, x = –5/2
• B. x = –8/3, x =5/2
• C. x = 5/2, x = 8/3
• D. x = –5/2, x = 8/3

7) What are the solutions to the equation x² – 5x = 14?

• A. x = –7, x = –2
• B. x = –14, x = –1
• C. x = –2, x = 7
• D. x = –1, x = 14

8) What are the solutions to the equation 2x² – 2x – 12 = 0?

• A. x = –4, x = 3
• B. x = –3, x = 4
• C. x = –2, x = 3
• D. x = –6, x = 2

9) An object is thrown into the air with an initial velocity of 5 m/s from a height of 9 m. The equation h(t) = –4.9t² + 5t + 9 models the height of the object in meters after t seconds.

• A. 0.9
• B. 1.5
• C. 2.0
• D. 9.0

10) What explicit expression can be used to find the next term in this sequence?

• A. 2n
• B. 2n + 6
• C. 2n²
• D. 2n²+ 1