Algebra I End of Semester One (Units 1-4) Assessment

Front

What is the equation of a line parallel to y = mx + b that passes through the point (8, 5)?

Back

The equation of a line parallel to another line has the same slope. If the line is horizontal (y = c), then the equation is y = 5.

Front

What is the domain of the function C(x) = 0.5x + 16, where x is the number of $0.50 coupons used?

Back

The domain is all integers greater than or equal to 0.

Front

How do you determine the function that models the height of water in a jar after dropping marbles?

Back

You analyze the data to find a linear relationship, which can be modeled by a function like w(x) = 0.1x + 5.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the range of the function for the total cost y for Leah and x friends going to an amusement park?

Back

The range is {55.25, 100.50, 145.75, 191.00, 236.25, 281.50}.

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you find the y-intercept of a linear equation in the form y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is b in the equation.

Front

What is the significance of the point-slope form of a linear equation?

Back

The point-slope form, y - y1 = m(x - x1), is useful for writing the equation of a line when you know a point on the line and its slope.

Front

What is a linear function?

Back

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

Front

How do you determine if a function is linear based on its graph?

Back

A function is linear if its graph is a straight line.