Question

8)

What value is equivalent to 5(22 − 9 · 2) − 2( 3 · 2 + 4) + 7?
A) -99
B) -83
C) -75
D) -71

Answer 1

To solve the expression 5(22 - 9 · 2) - 2( 3 · 2 + 4) + 7, we follow the order of operations and find that the equivalent value is 7, which does not match any of the provided options.

Step-by-step explanation:

To find the value equivalent to 5(22 − 9 · 2) − 2( 3 · 2 + 4) + 7, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

First, we solve the expressions within the parentheses:

22 − 9 · 2 = 22 − 18 = 4

3 · 2 + 4 = 6 + 4 = 10

Then we multiply the outcomes by the numbers outside the parentheses:

5 · 4 = 20

2 · 10 = 20

Next, we subtract the second outcome from the first and add 7:

20 − 20 = 0

0 + 7 = 7

Therefore, the equivalent value is 7, which is not listed among the options provided (A through D).