Question

1. iyana solved the equation below:

iyana:
$12b = 3$
$12b \cdot 12 = 3 \cdot 12$
$b = 36$
did she solve it correctly? explain. choose two answers:
a. yes - she solved it correctly.
b. no - she did not solve it correctly.
c. she should have added 12 to both sides.
d. she should have subtracted 12 from both sides.
e. she should have divided both sides by 12.
f. she correctly multiplied both sides by 12.

1. solve the equation: $8x = 96$

a. $x = 17$
b. $x = 12$
c. $x = 104$
d. $x = 88$

Explanation:

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Question 8

Step1: Identify error in Iyana's work

Iyana multiplied both sides by 12, but to isolate $b$, we need to undo the multiplication of $b$ by 12.

Step2: Correct operation for isolation

To solve $12b=3$, divide both sides by 12:
$\frac{12b}{12} = \frac{3}{12}$
$b = \frac{1}{4}$

Step1: Isolate $x$ by division

Divide both sides of $8x=96$ by 8 to solve for $x$.
$\frac{8x}{8} = \frac{96}{8}$

Step2: Calculate the result

Simplify the fractions to find $x$.

Answer:

B. No - she did not solve it correctly.
E. She should have divided both sides by 12.

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Question 9