IAAT - Iowa Algebra Aptitude Pre-Algebraic Number Skills Questions and Answers — 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?
- 60
- 67 (Correct answer)
- 77
- 97
Correct answer: 67
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?
- -1.5, -3/2, 0, 0.5
- 0.5, 0, -1.5, -3/2
- 0.5, 0, -3/2, -1.5 (Correct answer)
- -3/2, -1.5, 0, 0.5
Correct answer: 0.5, 0, -3/2, -1.5
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?
- 5.25 pounds
- 4.00 pounds (Correct answer)
- 4.25 pounds
- 3.75 pounds
Correct answer: 4.00 pounds
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
- 144
- 16
- -16 (Correct answer)
- 12
Correct answer: -16
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?
- $15
- $35
- $50
- $45 (Correct answer)
Correct answer: $45
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.
Question 6: What is the result of -12 + (-5) - (-8)?
- -25
- -9 (Correct answer)
- 1
- -1
Correct answer: -9
The expression can be rewritten as -12 - 5 + 8. First, combine the negative numbers: -12 - 5 = -17. Then, add the positive number: -17 + 8 = -9. The correct answer is -9.
IAAT - Iowa Algebra Aptitude Pre-Algebraic Number Skills Questions and Answers
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?