Algebra 1Honors Midterm Review

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x. For example, |3| = 3 and |-3| = 3.

Front

How do you write an expression for 'subtract a number times 4 from 10'?

Back

The expression is 10 - 4x, where x is the variable representing the number.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not form a straight line when graphed. It can include curves, parabolas, and other shapes.

Front

What is the solution to the equation 2x - 3 = 36?

Back

The solution is x = 19.5.

Front

What is the result of the equation 4(-8x + 5) = -32x - 26?

Back

The equation has no solution.

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 is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

How do you determine if a function is linear from its equation?

Back

If the equation can be written in the form y = mx + b, it is linear. If it includes variables multiplied together or raised to a power, it is nonlinear.

Front

What is the meaning of the term 'slope' in a linear function?

Back

The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.