Algebra diagnostic

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you express 'x is less than -3' in inequality notation?

Back

x < -3

Front

How do you solve the inequality x + 12 > 10?

Back

Subtract 12 from both sides to get x > -2.

Front

How do you express 'x is greater than or equal to 2' in inequality notation?

Back

x ≥ 2

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a slope to be negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) does not include the boundary value, while 'less than or equal to' (≤) includes it.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open circle at 2, and shade to the right.

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.