Algebra Semester 1 Exam Review

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

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.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

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

Back

The slope-intercept form is given by the equation 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?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the solution to the equation 3x - x + 4 = 4(2x + 1)?

Back

The solution is x = 0.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values of the variable that satisfy the equation.