IAAT - Iowa Algebra Aptitude Pre-Algebraic Number Skills Questions and Answers

Question 1

A student's test score is 90. To calculate their final grade, the teacher first deducts 1/3 of the points and then adds 7 bonus points. Which of the following represents the student's final grade?

Accepted Answer

67

Answer

First, find 1/3 of 90, which is (1/3) * 90 = 30. Then, deduct this amount from the score: 90 - 30 = 60. Finally, add the 7 bonus points: 60 + 7 = 67. The student's final grade is 67.

Question 2

Which of the following lists of numbers is ordered from greatest to least?

Accepted Answer

0.5, 0, -3/2, -1.5

Answer

To compare the numbers, convert them all to the same format. -3/2 is equal to -1.5. So the numbers are -1.5, -1.5, 0, and 0.5. When ordered from greatest to least, the sequence is 0.5, 0, and then -1.5. Since -3/2 and -1.5 are equal, their order doesn't matter relative to each other. The correct list is 0.5, 0, -3/2, -1.5.

Question 3

A baker has 6.5 pounds of flour. A recipe for one batch of cookies requires 1.25 pounds of flour. After making two batches of cookies, how much flour does the baker have left?

Accepted Answer

4.00 pounds

Answer

First, calculate the total flour used for two batches: 2 * 1.25 pounds = 2.5 pounds. Then, subtract the amount used from the initial amount: 6.5 pounds - 2.5 pounds = 4.00 pounds. The baker has 4.00 pounds of flour left.

Question 4

Evaluate the expression: 20 - 4 * (2 + 1)^2

Accepted Answer

-16

Answer

Following the order of operations (PEMDAS/BODMAS): First, solve the operation inside the parentheses (2 + 1) = 3. Next, calculate the exponent 3^2 = 9. Then, perform the multiplication 4 * 9 = 36. Finally, perform the subtraction 20 - 36 = -16.

Question 5

A video game is originally priced at $60. It is on sale for 25% off. What is the sale price of the video game?

Accepted Answer

$45

Answer

First, calculate the discount amount. 25% of $60 is (25/100) * 60 = 0.25 * 60 = $15. Then, subtract the discount from the original price: $60 - $15 = $45. The sale price is $45.

IAAT - Iowa Algebra Aptitude Test Practice Test

IAAT - Iowa Algebra Aptitude Test Practice Test

IAAT - Iowa Algebra Aptitude Pre-Algebraic Number Skills Questions and Answers