Honors Algebra 1 Midterm Review

Front

What is the effect of subtracting a constant from a function, such as in the transformation y = f(x) - 5?

Back

The graph of y = f(x) is shifted down 5 units.

Front

Translate the function notation f(-1) = 5 into a coordinate point.

Back

(-1, 5)

Front

Convert the standard form equation 4x - 3y = 15 into slope-intercept form.

Back

y = (4/3)x - 5

Front

If you can spend no more than 20 dollars on a birthday present, how would you express this in inequality form?

Back

x ≤ 20

Front

Write the equation in slope-intercept form for the line that contains the points (3, -5) and (5, -1).

Back

y = 2x - 11

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find 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 does it mean for a function to be increasing?

Back

A function is increasing if, for any two points x1 and x2 where x1 < x2, f(x1) < f(x2).

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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.