Question

Write the sum, and then rewrite the expression in standard form by removing parentheses and collecting like terms.

2g and the opposite of (1-2g)

Answer 1

To find the sum of 2g and the opposite of (1-2g), remove parentheses to get 2g - 1 + 2g, and then collect like terms to get the standard form, which is 4g - 1.

Step-by-step explanation:

The student is asked to write the sum of the expression 2g and the opposite of (1-2g), and then to rewrite the expression in standard form by removing parentheses and collecting like terms.

To write the sum, we start by expressing 2g and the opposite of (1-2g) as:

• 2g - (1 - 2g)

Next, we remove the parentheses which gives us:

• 2g - 1 + 2g

Now, we can collect like terms and add 2g + 2g which gives us 4g. Then we bring down the -1:

• 4g - 1

So the expression 2g and the opposite of (1-2g) rewritten in standard form is:

• 4g - 1