**Select all the equations where \[b=11\] is a solution.**

Choose 2 answers:

Choose 2 answers:

(Choice A)   

\[2b=211\]

A

\[2b=211\]

(Choice B)   

\[b+18=7\]

B

\[b+18=7\]

(Choice C)   

\[77=7b\]

C

\[77=7b\]

(Choice D)   

\[9=b-2\]

D

\[9=b-2\]

(Choice E)   

\[11=33\div{b}\]

E

\[11=33\div{b}\]

To determine which equations have \( b = 11 \) as a solution, let's substitute \( b = 11 \) into each equation and see if the equality holds.

1. **Choice A:** \( 2b = 211 \)
   \[
   2(11) = 22 \quad \text{(This does not equal 211, so \( b = 11 \) is not a solution)}
   \]
  
2. **Choice B:** \( b + 18 = 7 \)
   \[
   11 + 18 = 29 \quad \text{(This does not equal 7, so \( b = 11 \) is not a solution)}
   \]

3. **Choice C:** \( 77 = 7b \)
   \[
   77 = 7(11) = 77 \quad \text{(This is true, so \( b = 11 \) is a solution)}
   \]

4. **Choice D:** \( 9 = b - 2 \)
   \[
   9 = 11 - 2 = 9 \quad \text{(This is true, so \( b = 11 \) is a solution)}
   \]

5. **Choice E:** \( 11 = \frac{33}{b} \)
   \[
   11 = \frac{33}{11} = 3 \quad \text{(This does not equal 11, so \( b = 11 \) is not a solution)}
   \]

The correct answers are **Choice C** (\( 77 = 7b \)) and **Choice D** (\( 9 = b - 2 \)).

Would you like any further explanation or have other questions?

Here are 5 related questions to consider:

1. What are the steps to solve an equation like \( 3b + 5 = 20 \)?
2. How can you verify if a solution is correct for an equation?
3. What does it mean for a number to be a solution to an equation?
4. How do you solve an equation involving fractions, like \( \frac{2}{b} = 4 \)?
5. How can you graphically represent the solution of an equation?

**Tip:** Always double-check your substitutions to ensure the equality holds true when verifying solutions.

Explore how to identify equations with specific solutions. This problem involves determining equations where a given value is a solution through substitution and verification. Suitable for Grades 7-9 students studying algebra and equation solving.

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