QUESTION IMAGE
Question
combining like terms
like terms have the same variable and exponent.
example:
8x + 3 - 2x + 5 = 6x + 8
practice:
- 7a + 4 - 2a
- 5m - 3 + 2m + 6
- 9x - 4x + 1 - 8
Response
For Practice Problem 3: \( 9x - 4x + 1 - 8 \)
Step 1: Combine like terms with \( x \)
Identify the terms with \( x \): \( 9x \) and \( -4x \). Combine them by subtracting their coefficients.
\( 9x - 4x = (9 - 4)x = 5x \)
Step 2: Combine constant terms
Identify the constant terms: \( 1 \) and \( -8 \). Combine them by subtracting.
\( 1 - 8 = -7 \)
Step 3: Combine the results from Step 1 and Step 2
Put the combined \( x \)-term and the combined constant term together.
\( 5x - 7 \)
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\( 5x - 7 \)