Algebra 3 Semester 2 Review

Simplify.

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Simplify: (x - 4 + 3x²) - (x² - 9x + 4)

• 2x³ - 13x + 7x²

• 10x + 2x² - 8

• -x² - 13x + 7x²

• 2x² - 8x

Simplify the expression (factor top and bottom, then cancel stuf out)

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Simplify.

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Simplify.

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• 80

What is the equation to this graph?

• y = √(x-2) + 1

• y = √(x-1) + 2

• y = √(x+1) + 2

• y = √(x+2) + 1

What are the solutions to this graph? (x-intercepts)

• x = -1 and x = 3

• y = -3

• x = 1 y = -4

• There are no interecepts

Solve by factoring: x² - 2x + 3

• x = -1 and x = 3

• x = 1 and x = -3

• x = -2 and x = 3

• x = -1 and x = -2

Find the discriminant and state the number and type solutions. Formula:

b² - 4ac

2x² - 5x - 8

• 89: Two real solutions

• 39: Two real solutions

• -89; Two imaginary solutions

• 39; Two imaginary solutions

Find (g₀h)(x)

f(x) = 2x + 7

g(x) = 3x² - 8

• 6x² - 9

• 6x² - 23

• 12x² - 139

• 3x² + 2x - 1