Algebra 1 Comprehensive Review

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function in the form f(x) = a(x-h)² + k is the point (h, k). It represents the maximum or minimum point of the parabola.

Front

How do you find the vertex of the quadratic f(x) = -3(x + 2)² + 4?

Back

The vertex is (-2, 4). This is found by identifying h = -2 and k = 4 from the vertex form.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

Solve the quadratic equation 2x² + 2x - 12 using the quadratic formula.

Back

The solutions are x = 2 and x = -3.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Write the equation of a line with slope m = 5/4 that passes through the point (-4, -3).

Back

The equation is 5x - 4y = -8.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers. For example, the GCF of 8x³ and 6x² is 2x².

Front

How do you find the GCF of 8x³ and 6x²?

Back

Factor both terms: 8x³ = 2³ * x³ and 6x² = 2 * 3 * x². The GCF is 2x².

Front

What is an x-intercept?

Back

The x-intercept is the point where a graph crosses the x-axis, meaning y = 0.

Front

Find the x-intercept of the equation y = 2x - 12.

Back

The x-intercept is 12, found by setting y = 0 and solving for x.