QuestionIdentify an example of an algebraic expression from the options: $4(3+8)$ , $18^{2}$ , $3-a$ , $21 \cdot 4$ .

Studdy Solution

STEP 1

Assumptions1. An algebraic expression is a combination of variables, numbers, and at least one arithmetic operation. . A variable is a symbol (like x or y) that represents an unknown number.

STEP 2

We need to identify which of the provided options is an algebraic expression. An algebraic expression should contain at least one variable.

STEP 3

Let's examine the first option $(3+8)$ . This expression contains numbers and arithmetic operations, but no variable. Therefore, it is not an algebraic expression.

STEP 4

Now, let's examine the second option $18^{2}$ . This expression contains a number and an arithmetic operation (exponentiation), but no variable. Therefore, it is not an algebraic expression.

STEP 5

Let's examine the third option $3-a$ . This expression contains a number, an arithmetic operation (subtraction), and a variable (a). Therefore, it is an algebraic expression.

STEP 6

For completeness, let's examine the fourth option $21 \cdot4$ . This expression contains numbers and an arithmetic operation (multiplication), but no variable. Therefore, it is not an algebraic expression.
The algebraic expression among the given options is $3-a$ .

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QuestionIdentify an example of an algebraic expression from the options: $4(3+8)$ , $18^{2}$ , $3-a$ , $21 \cdot 4$ .

Studdy Solution

STEP 1

Assumptions1. An algebraic expression is a combination of variables, numbers, and at least one arithmetic operation. . A variable is a symbol (like x or y) that represents an unknown number.

STEP 2

We need to identify which of the provided options is an algebraic expression. An algebraic expression should contain at least one variable.

STEP 3

Let's examine the first option $(3+8)$ . This expression contains numbers and arithmetic operations, but no variable. Therefore, it is not an algebraic expression.

STEP 4

Now, let's examine the second option $18^{2}$ . This expression contains a number and an arithmetic operation (exponentiation), but no variable. Therefore, it is not an algebraic expression.

STEP 5

Let's examine the third option $3-a$ . This expression contains a number, an arithmetic operation (subtraction), and a variable (a). Therefore, it is an algebraic expression.

STEP 6

For completeness, let's examine the fourth option $21 \cdot4$ . This expression contains numbers and an arithmetic operation (multiplication), but no variable. Therefore, it is not an algebraic expression.
The algebraic expression among the given options is $3-a$ .

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QuestionIdentify an example of an algebraic expression from the options: 4(3+8)4(3+8)4(3+8), 18218^{2}182, 3−a3-a3−a, 21⋅421 \cdot 421⋅4.

Studdy Solution

STEP 1

Assumptions1. An algebraic expression is a combination of variables, numbers, and at least one arithmetic operation. . A variable is a symbol (like x or y) that represents an unknown number.

STEP 2

We need to identify which of the provided options is an algebraic expression. An algebraic expression should contain at least one variable.

STEP 3

Let's examine the first option (3+8)(3+8)(3+8). This expression contains numbers and arithmetic operations, but no variable. Therefore, it is not an algebraic expression.

STEP 4

Now, let's examine the second option 18218^{2}182. This expression contains a number and an arithmetic operation (exponentiation), but no variable. Therefore, it is not an algebraic expression.

STEP 5

Let's examine the third option 3−a3-a3−a. This expression contains a number, an arithmetic operation (subtraction), and a variable (a). Therefore, it is an algebraic expression.

STEP 6

For completeness, let's examine the fourth option 21⋅421 \cdot421⋅4. This expression contains numbers and an arithmetic operation (multiplication), but no variable. Therefore, it is not an algebraic expression.The algebraic expression among the given options is 3−a3-a3−a.

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QuestionIdentify an example of an algebraic expression from the options: $4(3+8)$ , $18^{2}$ , $3-a$ , $21 \cdot 4$ .

Let's examine the first option $(3+8)$ . This expression contains numbers and arithmetic operations, but no variable. Therefore, it is not an algebraic expression.

Now, let's examine the second option $18^{2}$ . This expression contains a number and an arithmetic operation (exponentiation), but no variable. Therefore, it is not an algebraic expression.

Let's examine the third option $3-a$ . This expression contains a number, an arithmetic operation (subtraction), and a variable (a). Therefore, it is an algebraic expression.

For completeness, let's examine the fourth option $21 \cdot4$ . This expression contains numbers and an arithmetic operation (multiplication), but no variable. Therefore, it is not an algebraic expression.
The algebraic expression among the given options is $3-a$ .