1.
Simplify. 75 + (5 x(9+1))
Correct Answer
A. 125
Explanation
To simplify the given expression, we first evaluate the expression inside the parentheses: 9 + 1 = 10. Then, we multiply this result by 5: 5 x 10 = 50. Finally, we add 75 and the result of the multiplication: 75 + 50 = 125. Therefore, the correct answer is 125.
2.
Simplify. [(28 ÷ 4) + 3] × 2
Correct Answer
B. 20
Explanation
To simplify the given expression, we need to follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
In this case, we start by solving the expression inside the parentheses: (28 ÷ 4) + 3 = 7 + 3 = 10.
Next, we multiply this result by 2: 10 × 2 = 20.
Therefore, the simplified expression is equal to 20.
3.
Simplify. 6 x (5+7) /4 - 7 x 2 + 3 x 3
Correct Answer
C. 13
Explanation
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS). First, we calculate the value inside the parentheses: 5 + 7 = 12. Then we multiply 6 by 12 to get 72. Next, we divide 72 by 4 to get 18. After that, we multiply 7 by 2 to get 14. Then we multiply 3 by 3 to get 9. Finally, we subtract 14 from 18 and add 9 to get 13. Therefore, the correct answer is 13.
4.
Simplify.
Correct Answer
A. 86
5.
Simplify. 18/3-7+2*5
Correct Answer
B. 9
Explanation
The expression is solved using the order of operations, which states that multiplication and division should be done before addition and subtraction. First, we divide 18 by 3, resulting in 6. Then, we multiply 2 by 5, giving us 10. Finally, we subtract 7 from 6, giving us -1, and add 10 to -1, resulting in 9.
6.
Simplify. 6*4/12+72/8-9
Correct Answer
B. 2
Explanation
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS). First, we perform the multiplication and division from left to right. 6 multiplied by 4 is 24, and 12 divided by 12 is 1. So, the expression becomes 24/1 + 72/8 - 9. Next, we simplify the division, which gives us 24 + 9 - 9. Finally, we perform the addition and subtraction from left to right, resulting in 24. Therefore, the answer is 2.
7.
Simplify. 10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9
Correct Answer
B. 41
Explanation
The expression simplifies to 41 by performing multiplication, division, and addition in the correct order: 10 multiplied by 4, then subtracting the result of 2 times the division of 4 squared by 4, followed by division by 2, division by 1/2, and finally adding 9.
8.
Simplify. -10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2
Correct Answer
A. -18
Explanation
To simplify the given expression, we start by solving the parentheses first. Inside the parentheses, we have the division operation 20 ÷ 2² which equals 20 ÷ 4 = 5. We also have 5 ÷ 5 which equals 1. Now we can substitute these values back into the expression: -10 ÷ (5 × 1) × 8 - 2. Next, we perform the multiplication and division from left to right: -10 ÷ 5 × 8 - 2 = -2 × 8 - 2 = -16 - 2 = -18. Therefore, the correct answer is -18.
9.
Simplify. 7 + (6 × 5^{2} + 3)
Correct Answer
B. 160
Explanation
To simplify the given expression, we first perform the multiplication within the parentheses: 6 multiplied by 52 equals 312. Then, we add 312 to 3, which gives us 315. Finally, we add 315 to 7, resulting in a final answer of 322. Therefore, the correct answer is not 160.
10.
Simplify. 6 x 3 + 4 x ( 9 ÷ 3 )
Correct Answer
B. 30
Explanation
To simplify the expression, we follow the order of operations (PEMDAS/BODMAS). First, we perform the division inside the parentheses: 9 ÷ 3 = 3. Then, we multiply 4 by the result: 4 x 3 = 12. Next, we multiply 6 by 3: 6 x 3 = 18. Finally, we add the two products together: 18 + 12 = 30. Therefore, the correct answer is 30.