Simplify: 7v -3(v-10
Α. – v + 30
B. – 3v + 30
C. 6v + 30
D. 4v + 30
The correct answer and explanation is:
To simplify the expression 7v−3(v−10)7v – 3(v – 10), follow these steps:
- Distribute the -3 across the terms inside the parentheses: 7v−3(v−10)=7v−3×v+3×107v – 3(v – 10) = 7v – 3 \times v + 3 \times 10 This gives: 7v−3v+307v – 3v + 30
- Combine like terms:
Now, combine the 7v7v and −3v-3v: 7v−3v=4v7v – 3v = 4v So the expression becomes: 4v+304v + 30
Thus, the simplified expression is 4v+304v + 30.
Correct answer: D. 4v+304v + 30
Explanation:
The process of simplifying expressions like this involves distributing any constants outside parentheses to each term inside the parentheses and then combining like terms. By following the distributive property, you multiply the −3-3 by both terms inside the parentheses: the vv and the −10-10. After that, combining the like terms 7v7v and −3v-3v gives the final result. Always ensure that when distributing, you multiply both terms correctly to avoid errors in the simplification process.