Algebra 1 Semester 1 Final Review

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x). It is often denoted as 'm' in the equation of a line, y = mx + b.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs in a vertical line where the change in x is zero, leading to division by zero in the slope formula (rise/run).

Front

Write the point-slope form of a line given a point (x_1, y_1) and slope m.

Back

The point-slope form is given by the equation: y - y_1 = m(x - x_1).

Front

What is the inequality that represents 'x is at least 30'?

Back

The inequality is x ≥ 30.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as x increases, y also increases, while a negative slope indicates that as x increases, y decreases.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x, meaning it measures the distance of x from zero on the number line.

Front

What is the vertex of a quadratic function in vertex form?

Back

The vertex of a quadratic function in the form f(x) = a(x - h)^2 + k is the point (h, k).

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then draw a straight line through the points.