Ramp-Up Final Exam Review 1. Find the value of the expression 5(x + 3y) for the for x = 2 and y = 20 2. Identify the number property that justifies each equation. a. x 8 8 x b. 12(4 x) 48 12 x c. (4 p)18 18(4 p) d. 5 (8 y ) (5 8) y e. 4(18a) (4 18)a 3. Solve. a. 4n n 5 b. 3n(4 1) 2 4. Use conventions to translate each of the following verbal descriptions into mathematical expressions. a. The quantity a plus five, divided by four b. a divided by seven, plus two c. two multiplied by the quantity a plus eight 5. Write 5203.9 in expanded form 6. What is the place of the digit 7 in each of the following numbers? a. 5.789 b. 0.4567 c. 17.56 7. Write these numbers in order from least to greatest, using the < symbol. 0.723 0.732 0.0723 0.7023 8. This number is written in expanded form: (6 100) (1 10) (7 1) (5 0.0732 1 1 1 ) (0 ) (3 ) 10 100 1000 a. Write the number in standard form. b. Write your answer in part (a) in words. 9. Round each number to the nearest hundredths place. a. 245.869 b. 78.089 c. 2.009 d. 56.913 e. 38.985 10. Round each number to the tens, the hundreds, and the thousands place. a. 6789 b. 4057 11. Draw two number lines to show that the fraction 2 1 is equivalent to the fraction . 8 4 12. For each number, decide whether it is a natural number, a whole number, a integer, or a rational number. A number can be more than one type. 3 a. b. 17 c. 5.7 d. -3 4 13. Given that 834 56 46704 , solve these equations (put the decimal point in the correct place in each product). a. 8.34 0.0056 b. 0.0834 5.6 14. Write a percent that is equivalent to each fraction: 84 a. b. 0.56 100 c. 1 4 d. 1 3 15. Brittney opened a savings account that has an annual interest rate of 7%. She started with $300 in the account and the interest is added once a year. How much money is in Brittney’s account after 2 years?