Algebra II EOC Review

The sum of a number, n , and its square root can be represented by the equation y = n + √n . If y = 20, which of the following is true?

• n = 16

• n = 4

• n = 16 and n = 25

• n = 4 and n = 5

• 25 bracelets and 20 necklaces

• 30 bracelets and 15 necklaces

• 40 bracelets and 20 necklaces

• 15 bracelets and 25 necklaces

Which function's graph has a vertex at (3, 5) and contains the point (5, 13)

• y = 1/10 (x + 3)² − 5

• y = 1/10 (x − 3)² − 5

• y = 2(x − 3)² + 5

• y = 2(x + 3)² + 5

• 
• 
• 
• 

• -3

• -8

• 5

• 2

Which two transformations can be used to obtain the graph of g(x) = − √(x − c) from the graph of f(x) = √x if c > 0?

• A translation to the right c units followed by a reflection across the x -axis

• A translation to the left c units followed by a reflection across the x -axis

• A translation to the right c units followed by a reflection across the y -axis

• A translation to the left c units followed by a reflection across the y -axis

Which of the following is a solution to 10x² − x = 3?

• -(1/5)

• 3/5

• -3/2

• 1/2

The product of 2 consecutive odd integers is 483. If x represents the smaller integer, which equation can be used to find both integers?

• x(x + 2) = 483

• x(x + 1) = 483

• x(x + 3) = 483

• (x + 1)(x + 2) = 483

What is the inverse of h(x) = ½log₃ (x) ?

• h^-1(x) = 3^(2x)

• h^-1(x) = 2(3)^x

• h^-1(x) = 2(log_x 3)

• h^-1(x) = log₃ (2x)

• Inverse Functions

• Not Inverse Functions