1. Given the following set of numbers: 10, 2.5, -4, -4.5, 5. What is the sum of these numbers?
A. 17.5
B. 9 Correct
C. 15
D. -8.5
Explanation
Start by adding the positive numbers: 10 + 2.5 + 5 = 17.5. Next, add the negative numbers: -4 + -4.5 = -8.5. Finally, combine the sums: 17.5 + (-8.5) = 9.0, which is the total sum.
2. Given the following set of numbers: 22, 8.9, -22, -8.9, 1, -2. What is the sum of the whole numbers?
A. -21
B. -1 Correct
C. 23
D. 1
Explanation
Identify the whole numbers in the set: 22, -22, 1, -2. Begin adding them pairwise: 22 + (-22) = 0. Then add the remaining: 0 + 1 = 1, and 1 + (-2) = -1, resulting in the sum of -1.
3. What is the answer to the following expression when using the correct order of operations? 4 + 7 x (6 - 3)
A. 25 Correct
B. 33
C. 43
D. 49
Explanation
First, evaluate the parentheses: 6 - 3 = 3. Next, perform the multiplication: 7 x 3 = 21. Finally, add the remaining number: 4 + 21 = 25, following PEMDAS.
4. What is the correct answer to the following expression using the proper order of operations? 2 x (18 - 14)^2 + 6
A. 22
B. 28
C. 38 Correct
D. 44
Explanation
Start with the parentheses: 18 - 14 = 4. Then square it: 4^2 = 16. Multiply next: 2 x 16 = 32, and add 6: 32 + 6 = 38.
5. Using prime factorization, what is the greatest common factor of the square root of 196 and the square root of 49?
A. 4
B. 7 Correct
C. 14
D. 49
Explanation
Find the square roots: square root of 196 = 14 (2 x 7), square root of 49 = 7 (7). Identify common prime factors: both have 7. Thus, the GCF is 7.