Answer: B - 3(4 + 8) + (2 • 5)
Choice A: 5(9 – 3) + (6 • 2)
We first solve whats inside the parenthesis. This time, we wont do it from left to right. Since 6 and 2 are being multiplied, and 9 and 3 are being subtracted, we will first solve multiplication.
(6 • 2) = 12
New equation is 5(9 - 3) + 12. Now we solve subtraction.
(9 - 3) = 6
New equation is 5 • 6 + 12. Now we solve in order.
5 • 6 = 30
30 + 12 = 42
This means that choice A is NOT it, since it is not 46.
Choice B: 3(4 + 8) + (2 • 5)
Again, we can't solve in order since 2 and 5 are being multiplied, while 4 and 8 are being added. So we solve multiplication first:
(2 • 5) = 10
New equation is 3(4 + 8) + 10. Now we solve addition in parenthesis:
(4 + 8) = 12
Our new equation is 3 • 12 + 10. Now we solve in order:
3 • 12 = 36
36 + 10 = 46
This means that choice B IS correct, since it is 46.
Choice C: 7(3 + 3) + 7
This one is a bit easier, since it only has one in-parenthesis equation. So we solve the equation in the parenthesis and solve in order:
(3 + 3) = 6
7 • 6 = 42
42 + 7 = 49
This means that choice C is NOT correct, since it does not equal 46.
Choice D: 2(10 + 5) + 6
Again, one is easier, since it only has one in-parenthesis equation. So we solve the equation in the parenthesis and solve in order:
(10 + 5) = 15
2 • 15 = 30
30 + 6 = 36
This means that choice C is NOT correct, since it does not equal 46.
Choice B is the correct one, since it equals 46
Hope this helps :)