Midterm Review Unit 2 Algebra 2

Front

What is the RANGE in a function?

Back

The RANGE is the set of all possible output values (y-values) of a function. For example, for the function f(x) = x^2, the range is [0, ∞) because the output is always non-negative.

Front

Which point is a solution to the equation y = 2x - 2?

Back

The point (1, 0) is a solution because when x = 1, y = 2(1) - 2 = 0.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To determine if a point is a solution, substitute the x and y values of the point into each equation. If the equations are satisfied, the point is a solution.

Front

What does the inequality x < -1 represent on a number line?

Back

The inequality x < -1 represents all numbers to the left of -1 on the number line, not including -1 itself.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form Ax + By = C.

Front

What is the meaning of the slope in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the slope-intercept form y = mx + b.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions are the points where the equations intersect.