Without actually dividing the number, is the number divisible by 2, 3, and/ or 5? Why?

Transcription

1 Math 40 Final Exam Review Part I No Calc 1. (2 pts) Round the number 38,756 to the nearest thousand. 2. (6 pts ) Consider the whole number 312. Without actually dividing the number, is the number divisible by 2, 3, and/ or 5? Why? 2 - Yes or No. Why? 3 - Yes or No. Why? 5 - Yes or No. Why? 3. (4 pts) Is 57 is prime or composite. Why? 4. Multiply or divide. (2 pts each) a) 225 X 35 b) d) 5( 7)( 2)(3) e)

2 5. (3 pts each) Bob is building a fence around a field of new grass. A rough picture is shown below a) Find the amount of fencing needed b) Find the number of square feet of new grass needed. 7 ft 5 ft 6. (4 pts) Find all of the factors of (4 pts) Find the prime factorization of (4 pts each) Simplify. a) b) c) ( ) (2 + 2) d) 2 + [7 + 3 (9 + 5)] 2

3 9. Evaluate each expression. (2,2,4,4,4,4 pts ) b) 7 4 a) b) (6 15) + ( 7 + 3) c) ( 3) 2 e) f) ( 2) (4 pts) The average temperature is 47 degrees Fahrenheit. If the temperature is expected to change to -14 degrees over the next month, then what is the expected change in temperature? Use a signed number to represent the change. 11. (4 pts) A truck costs $40 plus 25 cents per mile to rent. If the bill was $83.25 for the day, then how many miles did the truck travel? 12. (4pts) Jim s account is overdrawn by $125. He deposits $200, and then uses the ATM to get $80 cash. What is his new account balance? 3

4 Math 40 Final Exam Review Part I Calc 1. (3pts) Simplify the fraction to lowest terms, if possible. 15x 3 25x 5 2. (3pts esch) Perform the indicated operations on the following expressions. a) ( ) ( ) 7 15 b) x 7y c) 3 2 8y 5x d) ( 4 1 ) ( 2 2 ) 2 5 e) f)

5 g) h) y (4 pts esch) 2 a) b) (3pts each) Write in: a) Expanded form. b) as a mixed fraction. c) as an improper fraction. 5

6 5. Round to the nearest hundredth. (2pt) 6. (3 pts each) Perform the operations. Then circle the correct answer. a) b) c) d) 0.09 e) (4 pts each) Perform the operations. Then circle the correct answer. d) e)

7 8. (4pts) The average temperatures in Sacramento, California in July are a high daytime temperature of 93.8 degrees Fahrenheit and a low nighttime temperature of 60.9 degrees Fahrenheit. What is the change in temperature from day to night? 9. (4pts) On the moon, you would only weigh 1/6 of what you weigh on earth. If you weigh 138 pounds on earth, what would your weight on the moon be? 10. (4pts) Thomas won 13.2 million on a lottery ticket. His winnings are to be paid over 20 years. How much will he receive each year? 11. Translate each phrase: a) 5 less than x b) The product of y and 6 c) Six times the sum of x and Alaska is much larger than Texas. To be exact, the area of Alaska is 400 thousand square miles more than the area of Texas. Choose a variable to represent one area. Then write an algebraic expression that represents the other. Please describe the quantities appropriately. = = 13. Evaluate the expression at the given values of x and y. You must show work when simplifying the expression. 5x 2 + 2y 2 at x = 2 and y = 4 7

8 14. AIR CONDITIONING, C = 5 (F 32). After the air conditioner in a classroom was accidentally left 9 on all night, the room's temperature in the morning was a cool 23 F. What was the temperature in degrees Celsius? 15. Simplify 4(y + 3) 5(2y + 3) 16. Solve: a) 7 x = 4 b) 3s + 5 = 2 c) 2x + 6 = 4x 10 d) 3n 6n = 13 + n + 7 f) 7x + 5(x + 7) = 9(x 1) g) 2 3 x 3 5 = 7 15 x h) 0.7x 2.4 = 3.7x

9 17. A student's bank account is overdrawn. After making a deposit of $260, he finds that his account is still overdrawn by an amount of $70. What was his balance before he made his deposit? I) List the quantities II) Form an equation. Solve III) Answer the question using a compete sentence. 18. The three sides of a triangle are consecutive even integers. If the perimeter of the triangle is 30 inches, find the lengths of the sides of the triangle. I) List the quantities. Side 1= Side 2= Side 3= Perimeter = II) Form an equation. Solve. III) Answer the question using a compete sentence. 9

10 19. Gina cracks open a piggy bank and finds $4.50 (450 cents), all in nickels and dimes. There are 15 more dimes than nickels. How many nickels does Gina have? I) List the quantities. Number of Nickels= Number of Dimes= Value of a Nickel= Value of a Dime= Total value= II) Form an equation. Solve. # of(value) + # of(value) = total value III) Answer the question using a compete sentence. 20. One automobile travels miles on 10.8 gallons of gasoline. A second automobile travels miles on 12.6 gallons of gasoline. Which automobile gets the better gas mileage? Gas mileage of car one: Gas mileage of car two: Which automobile gets the better gas mileage? 10

11 21. Solve the proportion. a) x 3 = 35 7 b) 2x+9 9 = If 13 ounces of tea costs $2.79, how much would you expect to pay for 16 ounces of tea? 6. a) Change 2.9 yards to inches. b) Change 216 pints to gallons. c) Change 70 ounces to pounds. 23. a) Change 7.5 liters to milliliters. b) Change 9,750 centigrams to kilograms. c) Change 3427 centimeters to meters. 11

12 24. a) Convert 58 inches to centimeters. Round your answer to the nearest tenth of a centimeter. b) Convert 19.4 kilograms to pounds. Round your answer to the nearest pound. c) Convert 63 kilometers per hour to miles per hour. Round your answer to the nearest mile per hour. 25. Raven answered 135 of 150 possible questions on the meteorology examination correctly. What percent of the total number of questions did Raven mark correctly? 26. A state charges 6.5% sales tax on all sales. If the sales tax on a bed is $33, find the sales price of the bed, correct to the nearest dollar. 12

13 27. The force of gravity on Mars is only 38% of the force of gravity on earth. If you weigh 150 pounds on earth, how much will you weigh on Mars? 28. A car rack is marked at $500. However, a sign in the shop indicates that the car rack is being discounted at 15%. What will be the new selling price of the car rack? Round to the nearest penny. 29. Regulations in California have caused factroy famers to move out of state. Idaho's industrial dairy went from 180,000 cows in 1990 to 530,000 cows in What is the percent increase for Idaho industrial dairy cows, rounded to the nearest percent? 30. A secretary is granted a 2.85% salary increase. If the secretary's current salary is $3,600 per month, find the secretary's new monthly salary, rounded to the nearest dollar. 31. Fancy Chip company advertises their chips as having 35% less fat than Doritos. If one ounce of Doritos has 7 grams of fat, then how much fat does Fancy chip company have? 13

14 32. I Prt. A student borrows $2,000 from an educational fund to pay for the spring semester. If the loan is for 7 months at 12% annual simple interest, then what is the simple interest, and how much will the student owe at the end of the semester? 33. Graph the equation. 1 2 a) y 3x 2 b) y x 4 x y x y 14