Algebra 2 TN Ready

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

What is the remainder when f(x) = x³ + 3x² - 10x - 14 is divided by (x - 3)?

• 7

• 10

• -5

• 8

Which is equivalent to (4x + 6y)²?

• 16x² + 36y²

• 4x² + 2(4x)(6y) + 6y²

• (4x)² + 2(4x)(6y) + (6y)²

• (4x)² + (4x)(6y) + (6y)²

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 system of functions is given. f(x) = -x² - 2x + 6 g(x) = 2x² +5x +3 Select the values of x, to the nearest tenth, for which f(x) = g(x).

• -1.8, -0.6

• 4.1, 5.1

• -2.7, 0.4

• 0.4, 7.0

What is the vertex of the equation y = -2(x - 1)² + 18?

• (1, 18)

• (2, 15)

• (0, 16)

• (-2, 10)

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