[2] Fall Final Review 2024

Front

What is the range of a variable?

Back

The range of a variable is the set of possible values that the variable can take. For example, if a variable y is defined as 0 ≤ y < 3.5, it means y can take any value from 0 up to, but not including, 3.5.

Front

How do you write the x-intercept of a line?

Back

The x-intercept of a line is the point where the line crosses the x-axis. It is written as a coordinate (x, 0). For example, the x-intercept (-3, 0) indicates that the line crosses the x-axis at x = -3.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect. For example, if a line has the equation y = (1/2)x - 12, any line parallel to it will also have a slope of 1/2.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, if the domain is -2 ≤ x ≤ 2, it means x can take any value from -2 to 2, inclusive.

Front

How do you solve a linear equation for a variable?

Back

To solve a linear equation for a variable, isolate the variable on one side of the equation using algebraic operations. For example, to solve -6x - 20 = -2x + 4(1 - 3x), you would simplify and rearrange the equation to find the value of x.

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. This form makes it easy to identify the slope and y-intercept of the line.

Front

What is an x-intercept?

Back

An x-intercept is the point where a graph intersects the x-axis. It is represented as (x, 0). For example, the x-intercept (-3, 0) indicates that the graph crosses the x-axis at x = -3.

Front

What does it mean for a variable to be bounded?

Back

A variable is bounded if it has upper and/or lower limits. For example, if a variable x is defined as -5 ≤ x ≤ 2, it is bounded between -5 and 2.

Front

How do you determine the slope of a line from its equation?

Back

The slope of a line can be determined from its equation in slope-intercept form (y = mx + b), where m represents the slope. For example, in the equation y = (1/2)x - 12, the slope is 1/2.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b. It indicates the value of y when x is 0.