Q1. Write the sum of four consecutive even integers as an algebraic expression, if the first integer is x. Then simplify.

Background

Topic: Translating verbal statements into algebraic expressions and simplifying.

This question tests your ability to represent a sequence of consecutive even integers algebraically, then combine and simplify the resulting expression.

Key Terms and Formulas

• Consecutive even integers: Numbers that differ by 2 (e.g., 2, 4, 6, 8).

• Algebraic expression: A mathematical phrase involving variables and operations.

For four consecutive even integers starting with , the sequence is:

• (first integer)

• (second integer)

• (third integer)

• (fourth integer)

Step-by-Step Guidance

1. Write the sum of the four consecutive even integers as an algebraic expression: .

2. Remove the parentheses to combine all terms: .

3. Group like terms (all the terms together and all the constants together).

4. Combine the terms and the constants to form a simplified expression.

Try solving on your own before revealing the answer!