Algebra Semester Review 2020

Front

What is the zero of a graph?

Back

The zero of a graph is the x-value where the graph intersects the x-axis, meaning the output (y-value) is zero.

Front

What is an ordered pair in the context of inequalities?

Back

An ordered pair (x,y) represents a point on the coordinate plane, where x is the horizontal position and y is the vertical position.

Front

What does the domain of a graph represent?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

Front

How do you solve the equation 2(4x - 3) - 8 = 4 + 2x?

Back

First, simplify the left side: 8x - 6 - 8 = 4 + 2x. Then combine like terms: 8x - 14 = 4 + 2x. Finally, isolate x to find x = 3.

Front

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

Back

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

Front

What does it mean for a point to be a solution to an inequality?

Back

A point (x,y) is a solution to an inequality if it makes the inequality true when substituted into the inequality.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points.

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, representing the value of y when x = 0.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear expression, such as ax + b < c, where a, b, and c are constants.

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 connect the points with a straight line.