Question
Add and subtract algebraic expressions unit 4, lesson 6
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Answer
9(k+1/3)+10(1/2k-1)
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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
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
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