SEMESTER EXAM- ALGEBRA 1

Front

What is the value of x that satisfies the equation 5x = 1?

Back

x = \frac{1}{5}

Front

What is the function f(x) = -5x - 6 evaluated at x = -3?

Back

f(-3) = 9

Front

How do you calculate the slope of a line?

Back

Slope = \frac{rise}{run}

Front

What is the slope of the line represented by the equation y = -\frac{3}{2}x + 4?

Back

Slope = -\frac{3}{2}

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel.

Front

What is the domain of the function f(x) = \frac{1}{x-2}?

Back

Domain: x \neq 2

Front

What is the range of the function f(x) = x^2?

Back

Range: y \geq 0

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

Roots: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Front

What is the vertex form of a quadratic function?

Back

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

Front

What is the difference between a linear function and a quadratic function?

Back

Linear functions have a degree of 1; quadratic functions have a degree of 2.