1. Steps to solving problems
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 /10
Find a common denominator. Write equivalent fractions. Borrow if necessary. Subtract. Reduce if necessary.

5. #4 Correct answer is /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
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 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