QuestionVideo (文A) Select the expressions that are equivalent to $3 a+8 a$ . $a \cdot 11$ $\begin{array}{c} 10 a+2 a \\ 2 a+a+8 a \\ 6 a+5 a \end{array}$

Studdy Solution

STEP 1

1. We need to find expressions equivalent to $3a + 8a$ .
2. The expressions provided are in terms of $a$ .

STEP 2

1. Simplify the given expression $3a + 8a$ .
2. Simplify each of the provided expressions.
3. Compare the simplified forms to determine equivalence.

STEP 3

Simplify the expression $3a + 8a$ .
$3a + 8a = (3 + 8)a = 11a$

STEP 4

Simplify each of the provided expressions:
- $a \cdot 11$
$a \cdot 11 = 11a$
- $10a + 2a$
$10a + 2a = (10 + 2)a = 12a$
- $2a + a + 8a$
$2a + a + 8a = (2 + 1 + 8)a = 11a$
- $6a + 5a$
$6a + 5a = (6 + 5)a = 11a$

STEP 5

Compare the simplified expressions to $11a$ :
- $a \cdot 11 = 11a$ is equivalent. - $10a + 2a = 12a$ is not equivalent. - $2a + a + 8a = 11a$ is equivalent. - $6a + 5a = 11a$ is equivalent.
The expressions equivalent to $3a + 8a$ are:
$a \cdot 11, \quad 2a + a + 8a, \quad 6a + 5a$

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