Algebra 1 Comprehensive Review

Front

What is the solution to the system of equations represented by (x, y)?

Back

The solution is the point where the equations intersect, e.g., (1, 3).

Front

What is the simplified form of √28?

Back

The simplified form is 2√7.

Front

How do you find the difference of two polynomials?

Back

Subtract the corresponding coefficients of like terms.

Front

What are x and y intercepts?

Back

The x-intercept is where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

How do you factor the expression 3p² - 2p - 5 completely?

Back

The factored form is (3p - 5)(p + 1).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

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

Back

A linear equation has a degree of 1, while a quadratic equation has a degree of 2.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does it mean to simplify an expression?

Back

To simplify means to reduce the expression to its simplest form by combining like terms and removing parentheses.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.