Algebra 1 Comprehensive Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

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 does it mean for a quadratic function to have a maximum value?

Back

A quadratic function has a maximum value if its parabola opens downward (the coefficient of x^2 is negative). The maximum value occurs at the vertex of the parabola.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share. It is used to simplify fractions and factor expressions.

Front

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

Back

The expression factors to (3p - 5)(p + 1).

Front

What is the difference between a maximum and minimum value in a quadratic function?

Back

A maximum value is the highest point of the parabola (opens downwards), while a minimum value is the lowest point (opens upwards).

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the curve changes direction. It is the maximum or minimum point of the quadratic function.

Front

How do you determine if a quadratic function opens upwards or downwards?

Back

The direction of the parabola is determined by the sign of the coefficient of x^2: if it's positive, it opens upwards; if negative, it opens downwards.