University:
University of North Georgia
Course:
MATH 0097 | Introductory Algebra
Academic year:

2019
Views:

332

Pages:

2
Author:

larbiwxcvbn

Date _________ Determine whether the given x-value is a solution of the equation. 1. 2 4 2x 3 --+--=--·x=2 2x-3 x + 4 x2 - g' 2. _X_ - 2_ = 2x- S, X = 4 x+4 x x2 ' NO Solve the equation by cross multiplying. Check for extraneous solutions. 3. x+2 4. 2= x-3 I x+S 2 7x X==2 X -2 5• 3=x +7 x+ 1 x-3 • x-2 =x 7 6. 2x + 4 5x 8. 2x + 3 3x X x- 5 9 • �= X 4 + 2 10. 2x- 6 x-6 .X= X.==-1)1 2 X - 2t- 3 - 3/ 3 x+2 -(o ) 2. Solve the equation by using the LCD. Check for extraneous solutions. 12. -., + I X- I + 2 = _IX NO sol\rhlH'\ 13. I + 6. X = 2x- 4 - 3 X 6 --4=-2 14 • x-3 x-3 Name __________________ 15. _4_+_2_ 2x+2 = x-3 x+3 x2-9 x==--1 X 2 17• 2x-1 -2x+ 1 x2+20 4x2-t Date ________ 2(x - 3) 16• 3xx' -1 +Z= 3x-1 18• x+ 5 6x - 1 x+6 = x+6 19. Average Cost It costs a manufacturing company $8 to produce one can of paint. If the initial investment in the production line was $50,000, how many cans of paint must be produced before the average cost per can falls to $10? 2 20. Brakes The braking distance of a car can be modeled by d = s + �O where d is the distance (in feet) that the car travels before coming to a stop, and s is the speed at which the car is traveling (in miles per hour). Find the speed that results in a braking distance of 240 feet. In Exercises 21 and 22� use the following information. Fuel Efficiency The cost of fueling your car for one year can be calculated using this (Miles driven X Price per gallon) . equation: Fuel cost for one year = Fue1 effic1ency • rate 21. Last year you drove 22,500 miles, paid $2.25 per gallon of gasoline, and spent a total of $2025 on gasoline. What is the fuel efficiency rate of your car? 22. How much would you have saved if your car's fuel efficiency rate were 35 miles per gallon?

Math Alg 8.6 Worksheet Key

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