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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation2.1 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: Jill has 4 fewer pencils than Matt.m = j - 4j = m - 4j = m + 4 Q 2: 9 decreased by half a number is equal to 6.x - 9 = 69 - x/2 = 6x/2 - 9 = 6 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 + r + k = 90c + 2r + 3k = 90k + (k-10) + 3(k-10) = 90 Q 4: If Mike's allowance was increased by \$6, he would be earning twice what he is now.m + 6 = 2m6m = m + m6 + 2m = m Q 5: Cod's money is twice as much as Peter's money.p = 2cc = p/2c = 2p Q 6: Two more than three times a number is 20. 2x = 303x + 2 = 202x + 3 = 20 Q 7: The product of a number and 5 is equal to sum of that number and 14. 5x - 14 = x5x = 145x = x + 14 Q 8: Ben has 17 basketball trophies.b < 17b = 17b > 17 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!