Word Problems - Basic Operations With Variables - 1 - Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation - kwizNET Math/Science/English Homeschool/Afterschool/Tutoring Lessons/Worksheets/Quizzes/Trivia

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation 2.1 Word Problems - Basic Operations With Variables - 1

Word Problems as equations Example:
Five more than twice a number is 28.
Solution: 2x + 5 = 28 Directions: Choose the algebraic equation for the word problem given below.

Q 1: The product of a number and 5 is equal to sum of that number and 14. 5x - 14 = x 5x = x + 14 5x = 14

Q 2: Two more than three times a number is 20. 2x = 30 3x + 2 = 20 2x + 3 = 20

Q 3: Cathy got 10 fewer votes than Kim. Ron got three times as many votes as Cathy. The three students received a total of 90 votes. Write an equation in one variable that can be used to solve for the number of votes Kim received. (Hint: c = k - 10 r = 3c c + r + k = 90 ) c + 2r + 3k = 90 k + (k-10) + 3(k-10) = 90 c + r + k = 90

Q 4: 9 decreased by half a number is equal to 6. 9 - x/2 = 6 x - 9 = 6 x/2 - 9 = 6

Q 5: Jill has 5 more pens than Kelly. j = k - 5 j = k + 5 k = j + 5

Q 6: Cod's money is twice as much as Peter's money. p = 2c c = p/2 c = 2p

Q 7: Jill has 4 fewer pencils than Matt. m = j - 4 j = m + 4 j = m - 4

Q 8: If Mike's allowance was increased by $6, he would be earning twice what he is now. m + 6 = 2m 6m = m + m 6 + 2m = m

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