SAT1M1-161718

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you interpret the coefficients in a linear equation?

Back

The coefficients represent the relationship between the variables. For example, in the equation 8x + 12y = 480, 8 indicates how many units of y change for each unit change in x.

Front

What is the 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

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the values of the variables that make the equation true.

Front

What is a system of linear equations?

Back

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

Front

What is the meaning of 'x' in the equation 2x + 35y = 3934?

Back

In this context, 'x' represents the average number of trees per hectare in the park.

Front

How do you combine like terms in an algebraic expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.