1.
5 − (9 − 3) + 6
Correct Answer
A. 5
Explanation
The given expression involves addition and subtraction operations. According to the order of operations, we need to perform the subtraction within the parentheses first. So, (9 - 3) equals 6. Then, we subtract 6 from 5, which gives us -1. Finally, we add 6 to -1, resulting in 5. Therefore, the answer is 5.
2.
(9 ÷ 3 + 7 − 9 + 7)=
Correct Answer
C. 8
Explanation
The given expression involves a combination of addition and subtraction operations. Following the order of operations (PEMDAS/BODMAS), we first perform the division operation 9 ÷ 3, which gives us 3. Then, we add 7 to get 10. Next, we subtract 9, resulting in 1. Finally, we add 7, giving us the final answer of 8.
3.
2 + 7 × (7 × 9) ÷ 3=
Correct Answer
A. 149
Explanation
To solve this expression, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right). First, we calculate the expression inside the parentheses, which is 7 multiplied by 9, resulting in 63. Then, we multiply 7 by 63, giving us 441. Next, we divide 441 by 3, which equals 147. Finally, we add 2 to 147, resulting in the final answer of 149.
4.
(4 × 6) − 8 =
Correct Answer
D. 16
Explanation
The given equation is (4 × 6) − 8. First, we need to solve the multiplication, which gives us 24. Then, we subtract 8 from 24, resulting in 16. Therefore, the correct answer is 16.
5.
(1 − 8) × 3 =
Correct Answer
A. -21
Explanation
The given expression is (1 - 8) × 3. First, we evaluate the subtraction inside the parentheses which gives us -7. Then, we multiply -7 by 3 to get -21. Therefore, the correct answer is -21.
6.
(3 × 7 − 4 − 1 + 8) =
Correct Answer
B. 24
Explanation
To solve this equation, we follow the order of operations (PEMDAS/BODMAS). First, we perform the multiplication: 3 multiplied by 7 equals 21. Then, we subtract 4 from 21, which gives us 17. Next, we subtract 1 from 17, resulting in 16. Finally, we add 8 to 16, giving us a final answer of 24.
7.
(5 × 9) − (5 − 7 × 6) =
Correct Answer
B. 82
Explanation
To solve this equation, we need to follow the order of operations, which is parentheses, multiplication/division (from left to right), and addition/subtraction (from left to right). First, we calculate the value inside the parentheses: (5 - 7 × 6) = (5 - 42) = -37. Then, we multiply 9 by 5, which gives us 45. Finally, we subtract -37 from 45, resulting in 82. Therefore, the correct answer is 82.
8.
According to the order of operations, which comes first?
Correct Answer
D. Parentheses
Explanation
Parentheses come first in the order of operations. This is because any operations inside parentheses should be performed before any other operations. The purpose of parentheses is to group together numbers and operations and indicate that they should be evaluated as a single unit. Once the operations inside the parentheses are completed, then the other operations like exponents, multiplication, and addition can be performed.
9.
Which is the correct order of operations to simplify the expression ( 5 x 2 ) + 9 x 6 ?
Correct Answer
D. Parentheses, multiplication, addition
Explanation
The correct order of operations to simplify the expression ( 5 x 2 ) + 9 x 6 is parentheses, multiplication, addition. This means that we first solve the operation inside the parentheses, which is 5 x 2, resulting in 10. Then, we multiply 9 x 6, which gives us 54. Finally, we add the two results together, 10 + 54, resulting in 64.
10.
It is important to evaluate expressions from RIGHT to LEFT.
Correct Answer
B. False
Explanation
Expressions should ALWAYS be solved from LEFT to RIGHT, like reading the words on a page.
11.
When using the order of operations, the operations of Division and Multiplication rank equally (from LEFT to RIGHT) and the operations of Addition and Subtraction rank equally (from LEFT to RIGHT).
Correct Answer
A. True
Explanation
The explanation for the given correct answer is that according to the order of operations, division and multiplication have the same rank and should be performed from left to right. Similarly, addition and subtraction also have the same rank and should be performed from left to right. This means that when evaluating an expression, division and multiplication should be done before addition and subtraction. Therefore, the statement is true.
12.
2 × 2 + (7 × 7) + 7
Correct Answer
C. 60
Explanation
The given expression involves multiplication and addition. To solve it, we start by performing the multiplication operations first. 2 multiplied by 2 equals 4, and 7 multiplied by 7 equals 49. Then, we add the results of the multiplications to the remaining number, which is 7. 4 plus 49 equals 53, and when we add 7 to that, we get 60. Therefore, the answer is 60.
13.
(62 ÷ 62) + 5
Correct Answer
D. 6
Explanation
When we divide any number by itself, the result is always 1. So 62 divided by 62 is equal to 1. Adding 5 to 1 gives us 6. Therefore, the correct answer is 6.
14.
2 + 5 (6-2)
Correct Answer
B. 22
Explanation
The given expression involves multiplication and addition. According to the order of operations (PEMDAS/BODMAS), we should first solve the parentheses, then perform the multiplication, and finally do the addition. Within the parentheses, 6-2 equals 4. So, the expression becomes 2 + 5 * 4. Multiplying 5 by 4 gives us 20. Finally, adding 2 and 20 gives us the answer of 22.
15.
( 4 + 49 ) - 4 x 10.
Correct Answer
B. 13
Explanation
The given expression involves addition, subtraction, and multiplication. According to the order of operations (PEMDAS/BODMAS), we first perform the multiplication operation. 4 multiplied by 10 equals 40. Then, we perform the addition operation of 4 and 49, which equals 53. Finally, we subtract 40 from 53, resulting in the answer of 13.