Algebra 1st Semester

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

Convert the equation y = -2x - 6 to standard form.

Back

The standard form is 2x + y = -6.

Front

What does the term 'range' refer to in a function?

Back

The range is the set of all possible output values (y-values) of a function.

Front

Given the function f(x) = 20x + 4, what is f(3)?

Back

f(3) = 20(3) + 4 = 64.

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.

Front

Identify the slope and y-intercept of the equation y = -x + 3.

Back

The slope is -1 and the y-intercept is 3.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.