1 st semester exam

1. 1st semester exam Steps to solving problems

2. #1 Correct answer is 5 3/4 • When comparing fractions always look at the whole number first. • To compare two fractions the simplest way is to cross multiply. • If more than two fractions the best way is to turn the fractions into decimals by dividing the denominator into the numerator

3. #2 correct answer is 7 9/10 • Find common denominators • Write equivalent fractions • Add • Reduce

4. #3 correct answer is 166 7/10 • Find a common denominator. • Write equivalent fractions. • Borrow if necessary. • Subtract. • Reduce if necessary.

5. #4 Correct answer is 17 33/40 • Make mixed numbers improper. • Multiply the numerators. • Multiply the denominators. • Reduce if necessary.

6. #5 correct answer is 14 1/5 • Make mixed numbers improper. • Keep the first fraction. • Change the division sign to multiplication • Flip the second fraction • Multiply • Reduce if necessary

7. #6 correct answer is -15 • Parenthesis • Exponents • Multiply or Divide • Add or Subtract

8. #7 Correct answer is 58.433 • Do NOT line up decimals • Multiply • Count how many numbers are to the right of the decimal in the problem. • Your answer should that many numbers to the right of the decimal

9. #8 Correct answers is 42 • Move the decimal in the divisor (the outside number) to the end • Move the decimal in the dividend (the inside number) the same number of places • Divide

10. #9 correct answer is 4/5 120% 1.89 • Turn everything into a decimal

11. #10 correct answer is • If there are 100 blocks and I ask you to graph 73% color in 73 blocks • If I ask you to graph 158% there will be 200 blocks because 100 would not be enough. You still color in 158 blocks

12. #11 Correct answer is 1296 • Six to the fourth power means you should have four 6’s. • 6 x 6 x 6 x 6 = 1296 • The answer is not 24

13. #12 correct answer is 7.4839814963 x 10^6 • The first number must be greater than or equal to one but less than 10. • If the decimal must be moved to the right to get it back to the correct location the exponent is positive. • If the decimal must be moved to the left to get it back to the correct location the exponent is negative

14. #13 correct answer is • (4 x 10^4) + (5 x 10 ^3) + (8 x 10 ^1) + (4 x 10^-1) + (2 x 10 ^-2) + (9 x 10 ^-3)

15. #14 correct answer is 7 • Absolute value is neither positive nor negative. It is just the number. • The definition of absolute value is the distance from zero.

16. #15 correct answer is -5 • When adding • If the signs are the same you add • If the signs are different you subtract • Take the signs of the number with the largest absolute value

17. #16 correct answer is 13 • When subtracting • Keep the first number • Change the subtraction sign to addition • Change the sign of the second number • Follow addition rules • If the signs are the same add • If the signs are different subtract • Take the sign of the number with the largest absolute value

18. #17 correct answer is 91 • When multiplying • If the signs are the same the answer is postitve • If the signs are different the answer is negative

19. #18 correct answer is -4 • When dividing • if the signs are the same the answer is positive • If the signs are different the answer is negative

20. #19

21. #20

22. #21 correct answer is 63 • The pattern is x 2 + 1

23. #22 correct answer is b = 428 • In algebra we always do the opposite. • The opposite of multiplication is division