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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
2.1 Word Problems - Basic Operations With Variables - 1
Word Problems as equations
Five more than twice a number is 28.
Solution: 2x + 5 = 28
Choose the algebraic equation for the word problem given below.
: Jill has 4 fewer pencils than Matt.
j = m + 4
j = m - 4
m = j - 4
: 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
: Jill has 5 more pens than Kelly.
k = j + 5
j = k - 5
j = k + 5
: 9 decreased by half a number is equal to 6.
x/2 - 9 = 6
x - 9 = 6
9 - x/2 = 6
: Two more than three times a number is 20.
3x + 2 = 20
2x = 30
2x + 3 = 20
: 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 = 90
k + (k-10) + 3(k-10) = 90
c + 2r + 3k = 90
: The product of a number and 5 is equal to sum of that number and 14.
5x = 14
5x - 14 = x
5x = x + 14
: Katie has twice as many tropes and Aron.
k = a x 2
a x k = 2
a = k x 2
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