Algebra Final Exam Semester 1 2024

Front

Write an equation of the line in point slope form containing (-1,1) and (4,-9).

Back

y - 1 = -2(x + 1)

Front

What is the vertex of the following function? y=2|x-3|+1

Back

(3,1)

Front

Find the product: (x + 12)(x - 12)

Back

x² - 144

Front

What is the graph of f(x) = −|x+4|?

Back

C

Front

Multiply: (3x – 1)(x + 5)

Back

3x² + 14x - 5

Front

Define point-slope form of a linear equation.

Back

Point-slope form is y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

What is the slope of the line through the points (2,3) and (5,11)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁) = (11 - 3) / (5 - 2) = 8/3.

Front

What is the standard form of a quadratic equation?

Back

Standard form is ax² + bx + c = 0, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

Vertex form is y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the product of (x + a)(x - a)?

Back

The product is x² - a².