Algebra 1 Review #3

Front

What are the solutions to the equation x² - 2x - 8 = 0?

Back

x = -2 and x = 4

Front

What is the slope of the line represented by the equation 3x + 5y = -7?

Back

-3/5

Front

What is the solution to the system of equations represented by the points (1,3)?

Back

(1,3)

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

How do you find the slope of a line given two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

What is the quadratic formula used for?

Back

To find the solutions of the quadratic equation ax² + bx + c = 0: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x=0).