Review 12-16-24

Front

What is a system of linear equations with no solution?

Back

A system of linear equations has no solution when the lines represented by the equations are parallel and do not intersect.

Front

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

Back

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

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the range of the function if it is given as -5 < y < 7?

Back

The range is all y-values between -5 and 7, not including -5 and 7.

Front

How does shifting a function down affect its equation?

Back

Shifting a function down by 'k' units means subtracting 'k' from the function's output.

Front

What is the new equation of the function y = 3x + 4 after shifting it 4 units down?

Back

The new equation is y = 3x.

Front

What is the x-intercept shown on the graph at (-2, 0)?

Back

The x-intercept is the point where the graph crosses the x-axis, which is (-2, 0).

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

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.