9
QuizMultiple Choice

Problem Solving — Quiz

Question 9 • Algebra II

Read the word problem. Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box? Which strategy could help solve this word problem?

Answer
A
If x represents the number of pencils per box, solve the equation 4 x plus 8 is equal to 196 .
B
Divide 196 by 4 and check that the remainder is 8 .
C
If x represents the number of pencils per box, solve the equation 8 x plus 4 is equal to 196 .
D
Divide 196 by the sum of 4 and 8 and find the quotient.

Explanation

Let x be the number of pencils in each box. Eight boxes hold 8x pencils, and 4 pencils are left over, so the total is 8x + 4 = 196. Subtract 4 and divide by 8: x = 192 ÷ 8 = 24. Choice C gives the equation that represents the problem.

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