Steps to solving problems 1st semester exam Steps to solving problems

#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

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

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

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

#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

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

#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

#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

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

#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

#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

#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

#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)

#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.

#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

#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

#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

#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

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

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