Simplify the expressions.
1. 2x - 4 + 3x
2. 4y - 1 - 3y + 2
3. x + 2(x - 4
Whoops, I forgot the grouping at the end. My bad.
1. 2x - 4 + 3x = 5x - 4
I'll gladly check your answers for the other two.
2. 4y - 1 - 3y + 2
3. x + 2(x - 4
Is number two 1y+3?
And I'm confused with number three.
2. No.
We don't put 1 before an unknown. And 2 - 1 = 1
4y - 1 - 3y + 2 = y + 1
3.
x + 2(x - 4) = x + 2x -8 = 3x - 8
To simplify these expressions, we combine like terms by adding or subtracting the coefficients of the same variable.
1. 2x - 4 + 3x:
In this expression, we have two terms with the variable x, namely 2x and 3x. We can combine these terms by adding their coefficients:
2x + 3x = 5x
Now, we just bring down the constant term, which is -4:
5x - 4
Therefore, the simplified expression is 5x - 4.
2. 4y - 1 - 3y + 2:
In this expression, we have two terms with the variable y, which are 4y and -3y. We can combine these terms by adding their coefficients:
4y - 3y = (4 - 3)y = 1y = y (since the coefficient is 1)
Now, let's combine the constant terms:
-1 + 2 = 1
So, the simplified expression is y + 1.
Therefore, the simplified expression is y + 1.
3. x + 2(x - 4):
In this expression, we have the term with the variable x, which is x, and another expression inside parentheses: x - 4. To simplify this, we distribute the 2 to the terms inside the parentheses:
2(x - 4) = 2x - 8
Now, we can combine like terms by adding the coefficients of x:
x + 2x = 3x
Therefore, the simplified expression is 3x - 8.