Algebra Chapter 4 Review

Front

Write an equation in point-slope form for the line that passes through (2, -1) with slope of -3.

Back

y + 1 = -3(x - 2)

Front

A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional topping. Write an equation in slope-intercept form for the total cost C of a pizza with t toppings.

Back

C = 12 + 1.50t

Front

Find the inverse of the function f(x)=3x+8.

Back

f^{-1}(x) = 1/3x - 8/3

Front

Write the standard form of the line containing line segment GH.

Back

6x + 7y = 31

Front

What was the annual rate of change from 2004 to 2008 in the average number of television channels American households receive?

Back

6.5; There was an average increase of 6.5 channels per year.

Front

Define point-slope form of a linear equation.

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you find the inverse of a function?

Back

To find the inverse, swap x and y in the equation and solve for y.

Front

What is the standard form of a linear equation?

Back

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

Front

Explain the concept of rate of change in a linear function.

Back

Rate of change is the ratio of the change in the dependent variable to the change in the independent variable.