# Algebraic Equations

1. Determine whether the graphs of the two lines are parallel

Y+1=6x

3x-y= -1

2.Find an equation of the line having the given slope and containing the given point

express your answer in the form x=a, y=b, or y=mx+b

m=-4 (2,0)

3.Find an equation of the line containing the given pair of points

(1,5) (3,6)

4.Graph the equation using the slope and the y-intercept

y=1/10x+2

5.Find the slope and the y-intercept of the line

8x=5y+15

6.Find the domain of the function

g(x)=5/2-5x

7. Use the graph of the function f to find f(-1), f(0) and f(1)

8.For the graph, find the average rate of change as reduced fraction. Also, state the approximate units

9.Determine whether the graphs of the equations are perpendicular

2x-5y=6

2y-5x=7

10. The fax mailer bought a fax machine for 600. the fax machine depreciates at a rate of $20 a month

Find a function f that can be used to determine the value of the fax machine t months after purchase. Also, graph

11. Graph the equation by plotting points x=8

12. Graph the function

f(x)=x^2-x-2

13. Find the slope if it exits of the line containing the pair of pints

(-13,-2) (-19,-7)

14.Find the slope of the line

15. In 1994 the life expectancy of males in a certain country was 66.7 years. In 2001, it was 70.2 years. Let e represent the life expectancy in year t and let t represent the number of years sine 1994.

E(t)=?

E(15)=?

16.Find the slope and the y intercept y=3.3x-3

17.Given the function f(v)=3v+7 find each of the following

f(4)

f(-9)

f(6.5)

18.Write an equation of the line containing the given point and paralle to the given line

express your answer in the form y=mx+b

(-3,3) 9x=4y+5

19.Find the function value

f(x)=x^3

20.The function w(d)=0.112d approximates the amount, in centimerters, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depths of 11 cm, 37 cm, 50 cm.

11 cm of snow melting produces ___ cm of water

37 cm of snow melting produces ___ cm of water

50 cm of snow melting produces ___ cm of water

21.Find the slope intercept equation of the line that has the given characteristics

slope 4.6 and y intercept (0.-7)

22.Use the intercepts to graph the equation

7x-2y=14

23.Use the graph to find the following

f(2)

What is the domain

Determine all x values such that f(x)=0

x=

#### Solution Summary

Neat, step-by-step solutions to all the problems.