Question

questions 1-5: for each problem, determine the operation and number you would apply to both sides of t in order to solve for p.
question 1: 9 = p + 7
to solve for p: subtract 7 on both sides of the equation.
question 2: p - 13 = 5
to solve for p: add 13 on both sides of the equation.
question 3: \\(\frac{p}{3} = 8\\)
to solve for p: multiply 3 on both sides of the equation.
question 4: 1 = \\(\frac{44}{p}\\)
to solve for p: select one select one on both sides of the equation.
question 5: 6p = 12
to solve for p: select one select one on both sides of the equation.

questions 6-10: for each of the following equations, solve for p. do not use a calculator.
question 6: 9 = p + 7
p =
question 7: p - 13 = 5
p =

Explanation:

Question 4 Step1: Eliminate denominator P

Multiply both sides by $P$:
$1 \times P = \frac{44}{P} \times P$

Question 4 Step2: Simplify to isolate P

$P = 44$
(Operation: multiply by $P$, but since we need a constant operation to solve, alternatively: multiply both sides by $P$, then we can also frame it as multiply by $P$, but to match the format, the operation is multiply, number is $P$? No, correction: to solve $1=\frac{44}{P}$, first multiply both sides by $P$, then we get $P=44$. But following the format of prior questions, we can also do: multiply both sides by $P$, but since we need a numerical operation, another way: multiply both sides by $P$, but the required operation is multiply, number is $P$? No, actually, to isolate P, we can multiply both sides by P, then we have P=44. But the question asks for operation and number to apply to both sides. So the operation is multiply, number is $P$? No, correction: rearrange: $1=\frac{44}{P}$ can be solved by multiplying both sides by $P$, then dividing both sides by 1, but the direct operation is multiply both sides by $P$. But since prior questions use constants, alternatively, we can write multiply by $P$, but let's follow the structure:

Question 4 Step1: Multiply both sides by P

$1 \times P = \frac{44}{P} \times P$

Question 4 Step2: Simplify equation

$P = 44$

Question 5 Step1: Isolate P via division

Divide both sides by 6:
$\frac{6P}{6} = \frac{12}{6}$

Question 5 Step2: Simplify to find P

$P = 2$

Question 6 Step1: Subtract 7 from both sides

$9 - 7 = P + 7 - 7$

Question 6 Step2: Simplify to find P

$2 = P$

Question 7 Step1: Add 13 to both sides

$P - 13 + 13 = 5 + 13$

Question 7 Step2: Simplify to find P

$P = 18$

Answer:

Question 4: To solve for P: multiply, $P$ (or alternatively, multiply by 44 is incorrect, correct operation is multiply by $P$; but if we use reciprocal, multiply both sides by $P$) on both sides of the equation.
Question 5: To solve for P: divide, 6 on both sides of the equation.
Question 6: $P = 2$
Question 7: $P = 18$

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Clarified for the dropdown format:

Question 4: Operation: multiply, Number: $P$
Question 5: Operation: divide, Number: 6
Question 6: $2$
Question 7: $18$