Add and subtract algebraic expressions unit 4, lesson 6

Answer 1

In Unit 4, Lesson 6, you will learn how to add and subtract algebraic expressions. Here are the steps you need to follow:

Step 1: Simplify each expression separately: If there are any like terms, you can combine them by adding or subtracting their coefficients.

Step 2: Identify the common terms: Look for any terms that are exactly the same in both expressions.

Step 3: Determine the sign: To add or subtract the expressions, you need to consider the sign of each term. If the common term has a positive coefficient in both expressions, you add them. If it has a negative coefficient in one expression, you subtract them.

Step 4: Combine the terms: Add or subtract the coefficients of the common terms.

Step 5: Write the final expression: Combine the simplified terms and the terms with common coefficients.

For example, let's say we have the expressions 3x + 2y - 4z and -2x + 5y + 3z.

Step 1: Simplify each expression:
3x + 2y - 4z remains the same.
-2x + 5y + 3z remains the same.

Step 2: Identify the common terms:
In this example, there are no common terms.

Step 3: Determine the sign:
All terms have positive coefficients in both expressions, so we add them together.

Step 4: Combine the terms:
(3x + -2x) + (2y + 5y) + (-4z + 3z) simplifies to x + 7y - z.

Step 5: Write the final expression:
The final expression is x + 7y - z.

So, in Unit 4, Lesson 6, you will learn how to add and subtract algebraic expressions by combining like terms and considering the sign of each term.

Answer 2

9(k+1/3)+10(1/2k-1)

Answer 3

To add or subtract the given algebraic expressions, we need to perform the following steps:

Step 1: Simplify each expression separately: Distribute the coefficients to the terms inside the parentheses.

9(k + 1/3) + 10(1/2k - 1)

Expanding the first expression: 9k + 9/3

Expanding the second expression: 10/2k - 10

Step 2: Identify the common terms: In this case, there are no common terms.

Step 3: Determine the sign: Since there are no common terms, we don't need to consider any signs.

Step 4: Combine the terms: Since there are no common terms, we can't combine them.

Step 5: Write the final expression: The final expression remains as it is.

Therefore, the final expression is:

9(k + 1/3) + 10(1/2k - 1) = 9k + 9/3 + 10/2k - 10