Q2 Algebra I Grade Repair

Front

What is a solution to a linear equation?

Back

A solution to a linear equation is a pair of values (x, y) that makes the equation true when substituted into it.

Front

How do you solve a system of linear equations?

Back

To solve a system of linear equations, you can use methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations simultaneously.

Front

What does a negative association in a graph indicate?

Back

A negative association in a graph indicates that as one variable increases, the other variable tends to decrease.

Front

What is the first step in solving the equation 3x + 6 = 10 + 3x + 4x?

Back

The first step is to combine like terms on the same side of the equation.

Front

If y = -2x + 6, what is y when x = -5?

Back

When x = -5, y = 16.

Front

What is a linear equation?

Back

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

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is the y-intercept of a linear equation?

Back

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

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, indicating they intersect at a right angle.