Exam 6: Topics in Algebra

Three times a number is 10 less than five times the number. Find the number.

Graph

Graph

(i)Write the equation in the slope-intercept form. (ii)Find the slope and y-intercept. (iii)Draw the graph of the line.

The population growth of a certain geographic region is defined by the function where A0 is the population at time t = 0, and t is the time in decades. If the present population is 70,000, find the population in 20 years. [Hint: A decade is 10 years.]

A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?

A person sold their house for $175,000 and made a profit of 49%. How much did they pay for their Home?

A 6-foot pole casts a shadow of 5 feet. How tall is a tree with a shadow of 16 feet?

A math class containing 124 students was divided into two sections. One section has four more students than the other. How many students were in each section?

Write in function notation. How can you tell that this equation actually defines a function?

State whether or not the relation is a function. {(2, 9), (2, 10), (2, 11), (2, 12)}

Graph the parabola

Solve the proportion.

Write the ratio as a fraction and reduce to lowest terms. 20:14

State whether or not the relation is a function. Assume that x represents the first coordinate.

Evaluate the function

The percentage of an adult population that smokes can be modeled by the function P(x)whose graph Is shown below. The input x is years after 1955. Estimate the change in the percentage of smokers from 1975 to 1985.