Q. Combine the like terms to create an equivalent expression:2r+1+(−4r)+7
Identify like terms: Identify like terms in the expression 2r+1+(−4r)+7.Like terms are terms that contain the same variable raised to the same power. Here, 2r and (−4r) are like terms because they both contain the variable r raised to the first power. The numbers 1 and 7 are like terms because they are both constants.
Combine like terms: Combine the like terms 2r and (−4r).To combine these terms, we add their coefficients: 2+(−4)=−2. So, 2r+(−4r) becomes −2r.
Combine constants: Combine the constants 1 and 7. To combine these constants, we simply add them together: 1+7=8.
Write simplified expression: Write the simplified expression by combining the results from steps 2 and 3.The simplified expression is −2r+8.
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