Wk 9 Adding and Subtracting Expressions

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

How do you simplify the expression (-4a + 5b – 7) – (5a + 3b)?

Back

To simplify, distribute the negative sign and combine like terms: -4a - 5a + 5b - 3b - 7 = -9a + 2b - 7.

Front

What is the sum of (5 - t) + (3t + 2)?

Back

The sum is found by combining like terms: 5 - t + 3t + 2 = 2t + 7.

Front

How do you find the sum of two expressions?

Back

To find the sum, add the corresponding terms of each expression, ensuring to combine like terms.

Front

What is the result of the expression (−x + 8) + (−5x − 1)?

Back

The result is -6x + 7 after combining like terms.

Front

What is the formula for finding the difference between two expressions?

Back

The difference is found by subtracting the second expression from the first, distributing any negative signs, and combining like terms.

Front

How do you simplify the expression 2(x - 2) - 3(x - 4)?

Back

Distribute to get 2x - 4 - 3x + 12, then combine like terms to get -x + 8.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

What is the importance of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first and help clarify the order of operations.

Front

What does it mean to distribute in algebra?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.