IAAT - Iowa Algebra Aptitude Solving Word Problems Questions and Answers

Question 1

The sum of three consecutive odd integers is 87. What is the largest of the three integers?

Accepted Answer

31

Answer

27

Answer

29

Answer

33

Question 2

Maria is twice as old as her brother, Sam. The sum of their ages is 24. Which equation can be used to find Sam's age, s?

Accepted Answer

s + 2s = 24

Answer

s + 2 = 24

Answer

2s = 24

Answer

s(2s) = 24

Question 3

Two cyclists start from the same point and travel in opposite directions. One cyclist travels at a speed of 12 miles per hour (mph), and the other travels at 15 mph. After how many hours will they be 108 miles apart?

Accepted Answer

4 hours

Answer

3 hours

Answer

4.5 hours

Answer

9 hours

Question 4

A jacket's original price is represented by 'p'. It is on sale for 25% off. A customer has an additional coupon for $10 off the sale price. Which expression represents the final price the customer pays?

Accepted Answer

0.75p - 10

Answer

0.25p - 10

Answer

p - 0.25 - 10

Answer

p - 10.25

Question 5

The length of a rectangular garden is 6 feet longer than its width. If the perimeter of the garden is 60 feet, what is the area of the garden in square feet?

Accepted Answer

216 sq ft

Answer

144 sq ft

Answer

225 sq ft

Answer

252 sq ft

Question 6

A person has 20 coins consisting of only dimes and quarters. The total value of the coins is $3.20. Which system of equations can be used to find the number of dimes (d) and quarters (q)?

Accepted Answer

d + q = 20 AND 0.10d + 0.25q = 3.20

Answer

d + q = 3.20 AND 0.10d + 0.25q = 20

Answer

d + q = 20 AND 10d + 25q = 3.20

Answer

d + q = 5.20 AND d + q = 20