Question

writing about creating equivalent expressions
explain how to write an equivalent expression by combining like terms.
w + 10 + w - 4
the answer is 2w plus 6
sample response: to combine like terms, add the variable terms together and then add the constants together. when you combine the variable terms, you have 1w + 1w, which is 2w. when you combine the constants...
check all that you included in your response.

• to combine like terms, add the variables together and then add the constants together.
• when you combine the w’s, you have 1w + 1w, which is 2w.
• when you combine the constants, you have 10 - 4, which is 6.
• the equivalent expression is 2w + 6.

Explanation:

Step1: Identify like terms

In the expression \( w + 10 + w - 4 \), the variable terms are \( w \) and \( w \), and the constant terms are \( 10 \) and \( - 4 \).

Step2: Combine variable terms

Combine \( w \) and \( w \): \( w+w = 2w \) (since \( 1w + 1w=2w \)).

Step3: Combine constant terms

Combine \( 10 \) and \( - 4 \): \( 10-4 = 6 \).

Step4: Form the equivalent expression

Put the combined variable and constant terms together: \( 2w + 6 \).

Answer:

To write an equivalent expression for \( w + 10 + w - 4 \) by combining like terms, first identify the like terms: the variable terms \( w \) and \( w \), and the constant terms \( 10 \) and \( - 4 \). Combine the variable terms: \( w + w=2w \). Combine the constant terms: \( 10 - 4 = 6 \). Then, form the equivalent expression by putting these results together: \( 2w+6 \).