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Prepare for your final exam with this comprehensive review of expressions, including translating expressions, evaluating expressions, distribution & like terms, and adding/subtracting linear expressions. Practice examples provided.
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Translating expressions • Example: Translate the following sentence to an expression. Two times a number plus five. 2x + 5
Evaluating Expressions • Example: Evaluate the following expressions if x = 7 and y = -3. 1. 3x + y² 2. 2xy + 5y 3(7) + (-3)² 2(7)(-3) + 5(-3) 21 + 9 -42 + -15 -57 30
Distribution & Like Terms • Distribution Example: Simplify the following expression. 4(2x – 7) • Like Terms Example: Simplify the following expression. 3x – 9 – 7x + 15 4(2x + -7) 3x + -9 + -7x + 15 8x + -28 (3+-7)x + (-9 +15) 4x + 6
Adding and Subtracting Linear Expressions • Example: Simplify the following expression. (7x + 9) – (10x – 19) (7x + 9) – (10x + -19) (7x + 9) + (-10x + 19) 7x + 9 + -10x + 19 -3x + 28