Algebra 1 SOL Review (1st Semester)

Front

What is the difference of squares formula?

Back

The difference of squares formula states that for any two numbers a and b, the expression (a^2 - b^2) can be factored as (a - b)(a + b).

Front

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

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is the result of expanding (a + b)(a - b)?

Back

The result of expanding (a + b)(a - b) is a^2 - b^2, which is the difference of squares.

Front

How do you translate the graph of a linear equation vertically?

Back

To translate the graph of a linear equation vertically, you add or subtract a constant from the y-value in the equation. For example, y = mx + b becomes y = mx + (b + k) for an upward translation by k units.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation ax^2 + bx + c = 0 and is given by x = (-b ± √(b^2 - 4ac)) / (2a).

Front

How do you combine like terms in an algebraic expression?

Back

To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by y = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.