Solved on Dec 17, 2023

Find the value of dd where dd increased by 4 is -1.

STEP 1

Assumptions
1. Let dd represent the unknown number.
2. The phrase "increased by four" means we add 4 to dd.
3. The phrase "is negative one" means the result of increasing dd by four is equal to -1.

STEP 2

Translate the given verbal statement into an algebraic equation. The statement "A number, dd, increased by four is negative one" can be written as:
d+4=1d + 4 = -1

STEP 3

To find the value of dd, we need to isolate dd on one side of the equation. We can do this by subtracting 4 from both sides of the equation.
d+44=14d + 4 - 4 = -1 - 4

STEP 4

Simplify both sides of the equation.
d=14d = -1 - 4

STEP 5

Calculate the value on the right side of the equation.
d=5d = -5
The value of dd is -5, which corresponds to option C.

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