Question

1. which operation is used first to solve for $f$ in $gf + h = i$?

a. division
b. multiplication
c. subtraction
d. addition

1. the length of a rectangle is 3 inches more than twice its width. if the perimeter of the rectangle is 30 inches, which equation represents this situation?

a. $2(l + w) = 30$
b. $l + w = 30$
c. $2w + 2(2w + 3) = 30$
d. $2(l - 3) + 2l = 30$

Explanation:

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Question 26

Step1: Isolate the term with $f$

Subtract $h$ from both sides:
$gf + h - h = i - h$
Simplify to get: $gf = i - h$

Step2: Solve for $f$

Divide both sides by $g$:
$f = \frac{i - h}{g}$
The first operation is subtraction.

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Question 27

Step1: Define variables

Let width $= w$. Length $l = 2w + 3$.

Step2: Use perimeter formula

Perimeter $P = 2l + 2w$. Substitute $l$ and $P=30$:
$2(2w+3) + 2w = 30$
This matches option c.

Answer:

1. c. Subtraction
2. c. $2w + 2(2w + 3) = 30$