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Advanced Algebra Ch. 1 Name___________________ 1.1 Worksheet
Evaluate each expression if a 2, b 3, c 4, d 1 , and e 3.2. 3
1. a − 2b + 3c 2. 2a + ( b + 3 )^2 3. a + 3 b 2 − ( a +c)
4. a + b − e 5. d ac( − 4 ) 6. 9d − 4b +2a
7. 5c − 2 ( b − a )+c 8. 4 2a( + 3b )− 2c 9.
db^3 ac ab 2bd
- 3a^ 2c 6cd
− (^) 11. bc + 4e 12. −3e − 4a +b
Evaluate each expression if w 3 , x 8, y 2, and z 0.4. 4
- 12w^ 6y 5z
− 14. 2 8w( − 2y) − 8z 15. xy
z
- 4.2z
- The gasoline used by a car is measured in miles per gallon and is related to the distance traveled by the following formula. miles per gallon x number of gallons = distance traveled
a) During a trip your car used a total of 46.2 gallons of gasoline. If your car gets 33 miles to the gallon, how far did you travel?
b) Your friend has decided to buy a hybrid car that gets 60 miles per gallon. The gasoline tank holds 12 gallons. How far can the car go on one tank of gasoline?
- The formula for the area A of a triangle with height h and base b is A =^1 bh 2 . Write an expression
to represent the area of a triangle with a height of 2x and a base of x + 7.
19. The formula for the volume V of a cone with radius r and height h is V = π r h^2
. Write an
expression for the volume of a cone with a height of 2x and a diameter of 6x.
Answers:
- 4 2. 32 3. 19 4. −2.2 5. − 4 6. − 13 7. 2
15. − 40 16. 1.68 17. a) 1524.6 mi b) 720 mi 18. A = x 2 + 7x 19. V = 6 π x^3
