Question

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

Step1: Subtract 7 from both sides

$9 - 7 = P + 7 - 7$

Step2: Simplify to find P

$P = 9 - 7$

Question 2

Step1: Add 13 to both sides

$P - 13 + 13 = 5 + 13$

Step2: Simplify to find P

$P = 5 + 13$

Question 3

Step1: Multiply by 3 on both sides

$\frac{P}{3} \times 3 = 8 \times 3$

Step2: Simplify to find P

$P = 8 \times 3$

Question 4

Step1: Multiply by P on both sides

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

Step2: Simplify to find P

$P = 44$

Question 5

Step1: Divide by 6 on both sides

$\frac{6P}{6} = \frac{12}{6}$

Step2: Simplify to find P

$P = \frac{12}{6}$

Question 6

Step1: Subtract 7 from both sides

$9 - 7 = P + 7 - 7$

Step2: Simplify to find P

$P = 9 - 7$

Question 7

Step1: Add 13 to both sides

$P - 13 + 13 = 5 + 13$

Step2: Simplify to find P

$P = 5 + 13$

Answer:

1. Subtract, 7
2. Add, 13
3. Multiply by, 3
4. Multiply by, $P$ (or Cross-multiply, 44)
5. Divide by, 6
6. $P = 2$
7. $P = 18$