Asked by Logan Ann Moberly on May 05, 2024
Verified
Simplify: 6a+93−4(a−1) \frac{6 a+9}{3}-4(a-1) 36a+9−4(a−1)
A) -2a + 13
B) -2a - 1
C) -2a + 7
D) 2a + 7
E) 2a - 1
Algebraic Expression
An expression consisting of constants, variables, coefficients, and operating symbols (like +, -, *, /) that represents a mathematical relationship or a rule.
Like Terms
mathematical expressions that have the same variable raised to the same power.
Simplify
To make something less complex or easier to understand, often used in mathematical or problem-solving contexts.
- Attain proficiency in the simplification process of algebraic expressions by combining like terms.
Verified Answer
ZK
Zybrea KnightMay 08, 2024
Final Answer :
C
Explanation :
First, simplify the fraction by dividing both terms in the numerator by the denominator: 6a3+93=2a+3\frac{6a}{3} + \frac{9}{3} = 2a + 336a+39=2a+3 . Then, distribute the -4 across the terms in the parentheses: −4(a−1)=−4a+4-4(a-1) = -4a + 4−4(a−1)=−4a+4 . Combine like terms: 2a+3−4a+4=−2a+72a + 3 - 4a + 4 = -2a + 72a+3−4a+4=−2a+7 .
Learning Objectives
- Attain proficiency in the simplification process of algebraic expressions by combining like terms.