Solving Algebraic Expressions
In this article, we will explore two algebraic expressions: 2(x + 7) – 1 and 15 or 3(x + 2). We will simplify and solve these expressions step by step.
Expression 1: 2(x + 7) – 1
To simplify this expression, we need to follow the order of operations (PEMDAS):
Step 1: Distribute the 2
2(x + 7) = 2x + 14
Step 2: Subtract 1
2x + 14 – 1 = 2x + 13
So, the simplified expression is 2x + 13.
Expression 2: 15 or 3(x + 2)
This expression is a bit tricky because it has an "or" statement. We need to evaluate each part separately.
Part 1: 15
This is a simple numerical value.
Part 2: 3(x + 2)**
To simplify this expression, we need to follow the order of operations (PEMDAS):
Step 1: Distribute the 3
3(x + 2) = 3x + 6
So, the simplified expression is 3x + 6.
Combining the Two Parts
Since the expression has an "or" statement, we cannot combine the two parts algebraically. We can only list them separately:
15 or 3x + 6
Comparing the Two Expressions
Now that we have simplified both expressions, let's compare them.
2x + 13(Expression 1)15 or 3x + 6(Expression 2)
These expressions are different, and we cannot simplify them further.
I hope this article has helped you understand how to simplify and solve algebraic expressions.
