alleryStart learning →Simplify the expression 3x plus 7 plus 4x plus 5 by combining like terms.
A12x+7
B7x+35
C7x+2
D7x+12
Answer & Solution
Correct answer: D. 7x+12
1. Identify the like terms: the x-terms are 3x and 4x, and the constants are 7 and 5.
2. Add the coefficients of the like terms: 3x plus 4x equals 7x.
3. Add the constants: 7 plus 5 equals 12.
4. Combine the two results: 7x plus 12.
5. Swapping the coefficient and the constant to write 12x plus 7 mixes up which value multiplies the variable and which stands alone.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 2 "The Language of Algebra", section 2.2 Evaluate, Simplify, and Translate Expressions_
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