Algebra 2

Which equation represents the graphed function

• f(x) = |x + 2| − 1

• f(x) = |x + 1| − 2

• f(x) = |x − 2| + 1

• f(x) = |x − 1| + 2

Which expression is equivalent to (q² − 16)?

• (q − 4)²

• (q + 4)(q − 4)

• (q + 8)(q − 2)

• (q − 8)(q + 2)

Simplify the expression

(3x⁴ + 9x³ − 7x + 15) + (−6x⁴ − 8x² + 5x − 3)

• -3x⁴ + 9x³ - 8x² - 12x + 12

• -3x⁴ + 9x³ - 8x² - 2x + 18

• -3x⁴ + 9x³ - 8x² - 2x + 12

• 3x⁴ + 9x³ - 8x² - 2x + 12

Consider the equation x² − 12x + 49 = 22. Which equation has the same solution(s) as the given equation?

• (x − 6)² = 9

• (x − 7)² = 22

• (x + 7)² = 4.7

• (x − 12)² = −27

A quadratic function is given as f(x) = x² + 8x + 6.

Rewrite the given function in an equivalent form that would reveal the vertex of the function.

• f(x) = (x + 4)² − 10

• f(x) = (x - 10)² + 4

• f(x) = (x - 4)² − 10

• f(x) = (x + 4)² + 10

Simplify the expression (2 - 3i)(4 + 2i).

• 14

• 6i

• 2-8i

• 14-8i

The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an explicit function that models the general term of the sequence f(n).

• f(n) = 4(3^n-1)

• f(n) = 3(4^n-1)

• f(n) = 108(3^n-1)

• f(n) = 4(108^n-1)

A quadratic function is given as f(x) = 4x² + 8x + 10. Write an equivalent function to the given function.

• f(x) = 2(x + 2)² + 4

• f(x) = 4(x + 2)² + 10

• f(x) = 2(x + 1)² + 6

• f(x) = 4(x + 1)² + 6

What are the solution(s) of the given system of equations?

f(x) = -x² + 6x - 4

g(x) = |x - 3| - 1

• (3, -1)

• (1, 1) and (5, 1)

• (0, 2) and (3, -1)

• (3, 5)

Which expression is equivalent to (2x - 3)(x + 7)

• 2x² + 17x - 21

• 2x² + 17x + 21

• 2x² - 11x - 21

• 2x² + 11x - 21