Algebra 1_ Fall Semester Review

Front

What is the equation of a line after translating the graph of y = 9x + 4, 4 units up?

Back

y = 9x + 8

Front

What does a negative correlation indicate in a graph?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

If a rectangular garden has a length that is 3 meters more than twice its width and a perimeter of 54 meters, what is the width?

Back

8 meters

Front

What is the definition of a system of equations with no solution?

Back

A system of equations with no solution occurs when the lines representing the equations are parallel.

Front

How do you represent the number of 1-inch and 2-inch thick books in a stack of 9 books that is 14 inches tall?

Back

Let x = number of 1-inch books, y = number of 2-inch books. The system of equations is: x + y = 9 and x + 2y = 14.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width) or P = 2L + 2W.

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 two lines to be perpendicular?

Back

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

Front

What is the difference between a linear and a nonlinear equation?

Back

A linear equation graphs as a straight line, while a nonlinear equation graphs as a curve.

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, indicating the value of y when x = 0.