Algebra EOS Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations using elimination?

Back

To solve using elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other variable.

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 variables to have a linear relationship?

Back

A linear relationship means that as one variable changes, the other variable changes at a constant rate, forming a straight line when graphed.

Front

What is standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The coefficients represent the rate of change of the dependent variable with respect to the independent variable.

Front

What is the difference between dependent and independent variables?

Back

The independent variable is the one that is changed or controlled, while the dependent variable is the one that is measured or affected.

Front

How can you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure they reflect the problem's constraints.

Front

What is the purpose of graphing a system of equations?

Back

Graphing helps visualize the solutions of the system, showing where the lines intersect, which represents the solution.