Question

Which equation is true?

A) 3 x (5 + 1) = 3+ (5 x 1)
B) 5 x (2+8)= 10 +8
C) 8 x (2+9)= (8 x 2) + (8 x 9)
D) 4+ (2 +9)= (4 + 2) + (4 +9)​

Answer 1

C. 8 x (2 + 9) = (8 x 2) + (8 x 9)

Explanation:

Let's solve to see!

Solve using PEMDAS:

Parenthesis

Exponents

Mulitplication/Division (depending on which one comes first - starting from left to right)

Addition/Subtraction (depending on which one comes first - starting from left to right)

A)

3 x (5 + 1) = 3 + (5 x 1) <== parenthesis first

3(6) = 3 + 5 <== multiply and add

18 = 8

False

B)

5 x (2 + 8) = 10 + 8 <== parenthesis first

5(10) = 10 + 8 <== multiply and add

50 = 18

False

C)

8 x (2 + 9) = (8 x 2) + (8 x 9) <== parenthesis first

8(11) = 16 + 72 <== multiply and add

88 = 88

True

D)

4 + (2 + 9) = (4 + 2) + (4 + 9)​ <== parenthesis first

4 + 11 = 6 + 13 <== add

15 = 19

False

Therefore, the correct answer is C.

Hope this helps!